Multilevel sociality, in which large communities emerge from interconnected subgroups, is a hallmark of primate societies and a central focus of the social brain hypothesis. We investigate whether such organizational forms can, on their own, foster cooperation when defection is individually optimal …

[Phys. Rev. E 114, 034309] Published Fri Sep 11, 2026

Physiological systems exhibit deterministic behavior influenced by dynamic stochasticity, where informative random components play a crucial role in complex system interactions. Fully characterizing multivariate random components is challenging when the underlying deterministic dynamics are unknown.…

[Phys. Rev. E 114, 034310] Published Fri Sep 11, 2026

First-passage-times are often the most relevant aspect of a complex Markovian network because they signify when information processing has resulted in a definite decision. Previous studies have shown that for kinetic proofreading networks in the limit of large network size the first-passage-time dis…

[Phys. Rev. E 114, 034311] Published Fri Sep 11, 2026

The Kuramoto model provides a paradigmatic framework for studying the synchronization of interacting oscillators, and has been generalized to arbitrary dimensions to describe swarms, flocks, and multidimensional opinion dynamics. Yet, existing formulations neglect inertia, a key mechanism known to e…

[Phys. Rev. E 114, 034308] Published Thu Sep 10, 2026

Modern critical infrastructure networks optimize for maximum efficiency under stationary conditions, yet increasingly face nonstationary physical environments. We demonstrate through large-scale Monte Carlo simulation (1.55 million cascade events across five network scales) that efficiency-driven op…

[Phys. Rev. E 114, 034306] Published Wed Sep 09, 2026

Large chemical networks appear in various branches of chemistry and biology, in particular, cellular metabolism and prebiotic chemistry. Detailed simulations of such networks are difficult, or even impossible for lack of kinetic data. Various strategies have been developed to produce synthetic rando…

[Phys. Rev. E 114, 034307] Published Wed Sep 09, 2026

Complex networked systems are prevalent in biology, engineering, and the social sciences, yet their high-dimensional, nonlinear dynamics pose major challenges for analysis and prediction. A mathematically rigorous route to simplification is to represent system behavior on a low-dimensional, smooth i…

[Phys. Rev. E 114, 034303] Published Tue Sep 08, 2026

Robustness of simplicial complexes under triangle deletion is often characterized by the instantaneous smallest positive eigenvalue of the Hodge 1-Laplacian. We show that this observable can change spectral index when the kernel grows, and therefore it need not follow the same nonharmonic edge-space…

[Phys. Rev. E 114, 034304] Published Tue Sep 08, 2026

We develop a stochastic simplex framework for width partitioning in braided river cross sections, modeling normalized channel widths as random compositional vectors. Two complementary models are introduced: the symmetric Dirichlet distribution, which models width allocation as exchangeable stochasti…

[Phys. Rev. E 114, 034305] Published Tue Sep 08, 2026

Network community detection is usually considered as an unsupervised learning problem. Given a network, the aim is to partition it using some general-purpose algorithm. In this paper, we instead treat community detection as a hypothesis testing problem. Given a network, we examine the evidence for c…

[Phys. Rev. E 114, 034302] Published Wed Sep 02, 2026

Accurate reliability assessment of interconnected and interdependent systems requires explicit representation of interaction mechanisms arising from shared components, load redistribution, feedback coupling, and correlated degradation. Classical system reliability theory is formulated using real-val…

[Phys. Rev. E 114, 034301] Published Tue Sep 01, 2026

We study the role of heterogeneous volatility in a networked wealth dynamics model and its impact on the wealth condensation transition. Extending the Bouchaud–Mézard framework, we introduce binary volatility in networks and investigate how its configuration affects the effective power-law tail expo…

[Phys. Rev. E 114, 024315] Published Fri Aug 28, 2026

We study the large-deviation properties of minimum spanning trees for two ensembles of random graphs with $N$ nodes. First, we consider complete graphs. Second, we study Erdős-Rényi (ER) random graphs with edge probability $p=c/N$ conditioned on being connected. By using large-deviation Markov-chain sam…

[Phys. Rev. E 114, 024314] Published Thu Aug 27, 2026

Filtering methods are fundamental tools for extracting the backbone of complex networks. Systems displaying group interactions, however, open the way to new types of filtering approaches. Here, we introduce a statistical filtering method for higher-order networks that identifies statistically valida…

[Phys. Rev. E 114, 024313] Published Wed Aug 26, 2026

Stochastic fluctuations often act as promoters of activity in excitable and oscillatory systems, giving rise to phenomena such as coherence resonance. Here, we show that in the low-intensity regime, noise plays a dual role in weakly coupled neuronal units: It can both inhibit collective spiking and,…

[Phys. Rev. E 114, L022302] Published Wed Aug 26, 2026

Using a variational neural annealing approach to solve constrained portfolio optimization problems, the authors establish a connection between phase transitions in physics and computational complexity in finance. They demonstrate scaling behavior in financial optimization problems analogous to critical phenomena in spin glasses.

#Interdisciplinary #UniversalBehavior

[Phys. Rev. E 114, 024311] Published Mon Aug 24, 2026

We investigate the coarsening kinetics in a long-range variant of the persistent voter model in space dimensions $d=1$ and 2. In this model, agents can hold two confidence levels, normal and zealot. Normal agents imitate another opinion chosen at a distance $r$ with probability $P\left(r\right)\propto r^{-\alpha }$, with $\alpha >d$. On…

[Phys. Rev. E 114, 024312] Published Mon Aug 24, 2026

In this work we study statistical properties of the extreme eigenstates of the randomly weighted adjacency matrices of random graphs. We focus on two random graph models: Erdős-Rényi graphs and random geometric graphs. Indeed, the adjacency matrices of both graph models are diluted versions of the G…

[Phys. Rev. E 114, 024310] Published Tue Aug 18, 2026

“Every object that biology studies is a system of systems.” (François Jacob, 1974). Most networks feature intricate architectures originating from tinkering, a repetitive use of existing components where structures are not invented but reshaped. Linking the properties of primitive components to the …

[Phys. Rev. E 114, L022301] Published Tue Aug 18, 2026

Using tools from network theory, we analyze the organization of a MYH9-oriented druglike library in chemical space using a multidescriptor framework. The dataset is drawn from ZINC, a publicly available database of commercially accessible compounds curated for virtual screening and drug discovery. S…

[Phys. Rev. E 114, 024309] Published Mon Aug 17, 2026

Analyzing the behavior of complex interdependent networks requires complete information about the network topology and the interdependent links across networks. For many applications, such as interdependent critical infrastructure (ICI) networks, understanding network interdependencies is crucial to…

[Phys. Rev. E 114, 024308] Published Fri Aug 14, 2026

Modeling how networks change under structural perturbations can yield foundational insights into network robustness, which is critical in many real-world applications. The largest connected component is a popular measure of network performance. Percolation theory provides a theoretical framework to …

[Phys. Rev. E 114, 024307] Published Thu Aug 13, 2026

A wide range of real-world systems, ranging from physical and biological systems to social systems, can be described as temporal networks, where link temporality has profound effects on many dynamical processes taking place on networks. Here we study the susceptible-infected-susceptible model on tem…

[Phys. Rev. E 114, 024306] Published Tue Aug 11, 2026

Behavioral feedback plays a crucial role in shaping epidemic dynamics. In this work, a contagion framework that combines higher-order interactions with a dynamic activity-feedback mechanism is developed and analyzed. An evolution equation describing the temporal dynamics of the activity rate is form…

[Phys. Rev. E 114, 024303] Published Mon Aug 10, 2026

Entrainment is an important collective behavior in complex networks, where the output period of the coupled neuronal oscillator matches the external input period and maintains a stable phase relationship. The typical feature of entrainment is the regions in the input period and input amplitude param…

[Phys. Rev. E 114, 024304] Published Mon Aug 10, 2026

Disordered materials occur naturally and also provide a broader design space than ordered or crystalline structures. We investigate a two-dimensional disordered network metamaterial constructed from a Delaunay triangulation of an underlying point cloud. Small perturbations in the point cloud induce …

[Phys. Rev. E 114, 024305] Published Mon Aug 10, 2026

We study relations between three inequality indices, namely the Gini ($g$), Pietra ($p$) and Kolkata ($k$) introduced in 1912, 1915, and 2014 respectively, and all are derived from the Lorenz function $L\left(x\right)$ introduced in 1905. The Kolkata index [which corresponds to a fixed point of the complementary Loren…

[Phys. Rev. E 114, 024302] Published Thu Aug 06, 2026

Nonreciprocal interactions are widespread in neural circuits, arising both within local excitatory-inhibitory (E/I) dynamics and through directed coupling between distinct populations. Here we investigate how these two levels of asymmetry combine in a modified Wilson-Cowan model of locally non-norma…

[Phys. Rev. E 114, 024301] Published Tue Aug 04, 2026

Hierarchical crack patterns that arise during the drying of thin films of colloidal dispersions or polymer solutions on a solid substrate are of interest both from a fundamental standpoint and in the context of the creation of transparent electrodes for optoelectronics. This paper analyzes the morph…

[Phys. Rev. E 114, 014314] Published Wed Jul 29, 2026

We introduce a two-parameter ensemble of random discrete-time Markov models that simultaneously captures critical slowing down and broken detailed balance. Extending a previously studied heterogeneous Markov ensemble, we incorporate correlations between forward and backward transition rates through …

[Phys. Rev. E 114, 014315] Published Wed Jul 29, 2026

In the context of complex networks, designing a null model that preserves certain properties of the original network is a fundamental problem. While for binary bipartite networks, the problem has been solved by the curveball algorithm, which preserves the degree of each node exactly, for weighted bi…

[Phys. Rev. E 114, 014312] Published Mon Jul 27, 2026

We study the effect of assortative and disassortative mixing on the robustness of networks under random node failures. For ordinary (dyadic) networks, by using the generating function technique and stochastic simulations, we show that the relationship between the Pearson assortativity coefficient $r$ …

[Phys. Rev. E 114, 014313] Published Mon Jul 27, 2026

Reaching consensus on massive discussion networks is critical for reducing noise and achieving optimal collective outcomes. However, the natural tendency of humans to preserve their initial ideas constrains the emergence of global solutions. To address this, collective intelligence (CI) platforms fa…

[Phys. Rev. E 114, 014311] Published Tue Jul 21, 2026

The phenomenological renormalization group (PRG) has been applied to the study of scale-invariant phenomena in neuronal data, providing evidence for critical phenomena in the brain. However, it remains unclear how reliably these observed signatures indicate genuine critical behavior, as it is not we…

[Phys. Rev. E 114, 014310] Published Mon Jul 20, 2026

We develop a dissipation-based framework for earthquake rupture on homogeneous faults that explicitly separates the onset of unstable slip from the conditions required for self-sustained rupture propagation. This distinction explains the coexistence of self-arresting earthquakes and runaway ruptures…

[Phys. Rev. E 114, 014309] Published Mon Jul 13, 2026

We study the transition between layer-localized and delocalized regimes in a general contact-based contagion model on multiplex networks. Using the inverse participation ratio, we characterize how activity shifts from being confined to a single layer to spreading across the entire system. Through a …

[Phys. Rev. E 114, 014307] Published Wed Jul 08, 2026

We study opinion dynamics with higher-order interactions, motivated by the fact that social influence often takes place in groups rather than only through pairwise contacts. We introduce a noisy majority-rule model on annealed hypergraphs with heterogeneous group sizes and investigate how the distri…

[Phys. Rev. E 114, 014308] Published Wed Jul 08, 2026

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal networks, such as those of physical proximity, are also embe…

[Phys. Rev. E 114, 014306] Published Tue Jul 07, 2026

Societies are quintessential open systems, shaped by internal dynamics as well as external influences. The question is how these external influences alter the collective behavior and network dynamics. To answer this, we investigate coevolutionary balance dynamics in a system of independent and open …

[Phys. Rev. E 114, 014301] Published Mon Jul 06, 2026

We present a systematic numerical study of the ferromagnetic Ising model on complex networks with tunable degree-degree correlations. The networks are constructed with a truncated power-law degree distribution, ensuring finite moments, and correlations are introduced via the Xulvi-Brunet-Sokolov rew…

[Phys. Rev. E 114, 014303] Published Mon Jul 06, 2026

A study of online language shows that niche terms—like the name of a narrowly popular music group—spread less quickly than mainstream words.

[Phys. Rev. E 114, 014304] Published Mon Jul 06, 2026

Contagion processes in social systems often involve interactions that go beyond pairwise contacts. Higher-order networks, represented as hypergraphs, have been widely used to model multibody interactions, and their presence can drastically alter contagion dynamics compared to traditional network mod…

[Phys. Rev. E 114, 014305] Published Mon Jul 06, 2026

When exposed to a contagion phenomenon, individuals may respond to the perceived risk of infection by adopting behavioral changes, aiming to reduce their exposure or their risk of infecting others. The social cost of such adaptive behaviors and their impact on the contagion dynamics have been invest…

[Phys. Rev. E 114, 014302] Published Wed Jul 01, 2026

We investigate the asymptotic failure of the network arising solely from intrinsic fluctuations in the flux passing through its nodes. By modeling the flux as random walkers and the node failure induced by large fluctuations as extreme events, it is shown that three distinct nodal failure regimes ca…

[Phys. Rev. E 113, L062302] Published Mon Jun 29, 2026

Hypergraphs provide a natural representation of complex systems with higher-order interactions and are commonly interdependent with each other. In this work, based on a bipartite network representation of hypergraphs, we propose a framework of networks of hypergraphs (NOH) to describe the structures…

[Phys. Rev. E 113, 064312] Published Thu Jun 25, 2026

Understanding how group interactions influence opinion dynamics is fundamental to the study of collective behavior. In this work, we propose and study a model of opinion dynamics on $d$-uniform hypergraphs, where individuals interact through group-based (higher-order) structures rather than simple pai…

[Phys. Rev. E 113, 064311] Published Tue Jun 23, 2026

We present a numerical study of several inequality measures across two kinetic wealth-exchange models with extreme inequality features (namely the Banerjee model, and the Chakraborti or yard-sale model) and two earthquake simulating models (namely the Chakrabarti-Stinchcombe two-fractal overlap mode…

[Phys. Rev. E 113, 064308] Published Mon Jun 22, 2026

Changing environmental conditions can significantly affect the dynamics of disease spread. These changes may arise naturally or result from human interventions; in the latter case, lockdown measures that lead to abrupt but temporary reductions in transmission rates are used to combat disease spread.…

[Phys. Rev. E 113, 064309] Published Mon Jun 22, 2026

Degree centrality is one of the most fundamental measures of local importance in directed networks. Its fractional version is defined via the fractional directed Laplacian with parameter $\gamma$, a well-known nonlocal operator. When $\gamma =1$, the fractional centrality reduces to the out-degree centrality. In c…

[Phys. Rev. E 113, 064310] Published Mon Jun 22, 2026

The universal prevalence of cooperation is puzzling, as defection typically yields higher payoffs than cooperation, motivating searches for hidden pathways to cooperation. Here we study a game-theoretic model on a lattice structured population in which interaction payoffs are scaled by the minimum o…

[Phys. Rev. E 113, 064306] Published Thu Jun 18, 2026

In network-based susceptible-infected-susceptible (SIS) models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the infection status of connect…

[Phys. Rev. E 113, 064307] Published Thu Jun 18, 2026

Giving nodes a memory of their susceptibility transition dynamically expands the state space in the susceptible-infectious-susceptible model. This enhanced pair approximation accurately determines epidemic thresholds and infection fractions across arbitrary networks.

#ClassicalProblem #UniversalBehavior

[Phys. Rev. E 113, 064305] Published Fri Jun 12, 2026

Discrete Ricci curvature serves as a fundamental geometric tool for quantifying the structural characteristics of complex networks, effectively capturing the richness of their connection patterns. Building on this theoretical framework, this paper proposes an improved discrete Ricci curvature algori…

[Phys. Rev. E 113, 064304] Published Tue Jun 09, 2026

Higher-order interactions have recently emerged as a promising framework for describing new dynamical phenomena in heterogeneous contagion processes. However, a fundamental open question is how to understand their contribution from the perspective of the physics of critical phenomena. Based on a mes…

[Phys. Rev. E 113, L062301] Published Tue Jun 09, 2026

The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a network-based approach in which nodes represent communities of i…

[Phys. Rev. E 113, 064302] Published Thu Jun 04, 2026

We investigate how much bias in the initial configuration is required to drive global agreement in synchronous, deterministic majority dynamics on large random $d$-regular graphs. Nodes take values $\pm 1$ and update their states at each discrete time step to align with the majority of their neighbors. Usi…

[Phys. Rev. E 113, 064303] Published Thu Jun 04, 2026

People often express opinions that differ from their privately held views, a phenomenon known in economy as preference falsification. Expressed-private opinion (EPO) models capture this by assigning each agent two dynamical variables: a private (internal) and an expressed (external) opinion. Within …

[Phys. Rev. E 113, 064301] Published Mon Jun 01, 2026

In the network model, the interactions between nodes represent the transmission of information, energy, or substance. Strengthening interactions to enhance collective dynamical performance has garnered extensive interest. However, the specific degree to which collective performance is enhanced is a …

[Phys. Rev. E 113, 054316] Published Fri May 29, 2026

“The perfect is the enemy of the good.” The authors develop a search model that formalizes this adage. They show that optimal ambition targets outcomes that are finite but strictly larger than the mean of available rewards. The prediction of the models are tested using examples from online dating and college admissions.

#ClearMotivation #Interdisciplinary

[Phys. Rev. E 113, 054317] Published Fri May 29, 2026

Spectral fluctuation analysis within the random matrix theory (RMT) framework is a powerful probe of complexity in networked systems, yet its extension to multilayer architectures remains unresolved. In general multilayer networks, the adjacency matrix possesses a heterogeneous block structure with …

[Phys. Rev. E 113, 054314] Published Tue May 26, 2026

We study an ecology-inspired model for a population of bounded size, whose dynamics is governed by random birth, death, and immigration events. Stochastic fluctuations in the number of individuals give rise to a succession of alternating active and vacant periods, where the population is, respective…

[Phys. Rev. E 113, 054315] Published Tue May 26, 2026

Percolation in complex networks has a long history. In finite networks the transition to a giant connected component is smoothed out, making the prediction of the critical point difficult. The theory presented here introduces the susceptibility of arbitrary random undirected and directed networks, showing that a strong increase in susceptibility is the early warning signal of approaching the percolation point.

#ClearMotivation #ClassicProblem

[Phys. Rev. E 113, 054313] Published Fri May 22, 2026

The 2025 Bondi Beach mass shooting of Jews was perpetrated by individuals inspired by ISIS (Islamic State) propaganda that increasingly featured anti-Semitic hate content following the October 2023 start of the Israel-Palestine war. There is an urgent need to get ahead of future threats by understan…

[Phys. Rev. E 113, 054312] Published Wed May 20, 2026

Human mobility, enabled by diverse transportation modes, is fundamental to urban functionality. Studying these movements across scales—from microscopic to macroscopic—yields valuable insights into urban dynamics. Local adaptation and (self-)organization in such systems are expected to result in dyna…

[Phys. Rev. E 113, 054311] Published Tue May 19, 2026

Higher-order interactions have recently emerged as key determinants of collective dynamics in complex networks, driving phenomena such as synchronization and multistability. However, how different higher-order groups interact and jointly shape global behavior remains poorly understood. Here, we intr…

[Phys. Rev. E 113, 054308] Published Mon May 18, 2026

The brain criticality hypothesis has largely only characterized brain dynamics in terms of their self-similarity, although experimental evidence suggests that the brain exhibits significant multifractality. To understand how multifractality may emerge in critical-like systems modeling neuronal activ…

[Phys. Rev. E 113, 054309] Published Mon May 18, 2026

Understanding how structural organization shapes dynamical performance is essential for designing efficient multilayer infrastructures. As modern transportation systems become increasingly multimodal, integrating layers with distinct connectivity patterns raises a fundamental yet underexplored quest…

[Phys. Rev. E 113, 054310] Published Mon May 18, 2026

$E$-values have recently emerged as a robust and flexible alternative to $p$-values for hypothesis testing, especially under optional continuation, i.e., when additional data from further experiments are collected. In this work we define optimal $e$-values for testing between maximum entropy models, in bo…

[Phys. Rev. E 113, 054306] Published Fri May 15, 2026

Heider balance theory provides a fundamental framework for understanding the formation of friendly and hostile relations in social networks. Existing stochastic formulations typically assume a uniform social temperature, implying that all interpersonal relations fluctuate with the same intensity. Ho…

[Phys. Rev. E 113, 054307] Published Fri May 15, 2026

Economic inequality emerges from the interplay between regional growth-rate differences and the interaction network that couples regions. We propose a minimal income-dynamics model, where heterogeneity is governed by growth-rate assortativity $\mathcal{A}$ and regional concentration $\mathcal{R}$, allowing us to quantify t…

[Phys. Rev. E 113, 054305] Published Tue May 12, 2026

Explanations of societal polarization often rely on one of three mechanisms: homophily, bounded confidence, and community-based interactions. Opinion dynamics models based on these mechanisms consider the lack of interactions as the main cause of polarization. Given the increasing connectivity in mo…

[Phys. Rev. E 113, 054303] Published Mon May 11, 2026

When following a sequence—such as reading a text or tracking a user's activity—one can measure how the “dictionary” of distinct elements (types) grows with the number of observations (tokens). When this growth follows a power law, it is referred to as Heaps' law, a regularity often associated with Z…

[Phys. Rev. E 113, 054304] Published Mon May 11, 2026

Associative memory models such as the Hopfield network and its dense generalizations with higher-order interactions exhibit a “blackout catastrophe”—a discontinuous transition where stable memory states abruptly vanish when the number of stored patterns exceeds a critical capacity. This transition i…

[Phys. Rev. E 113, 054301] Published Wed May 06, 2026

Biological systems rely on asynchronous and temporally overlapping dynamics, allowing for the concurrent activation of multiple processes. This principle is particularly evident in brain function, where cognitive tasks engage distributed, interacting regions rather than sequentially isolated ones. T…

[Phys. Rev. E 113, 054302] Published Wed May 06, 2026

We investigate coherent quantum transport on multilayer complex networks composed of treelike scale-free layers. The general principles governing transport efficiency are uncovered under continuous-time quantum walks by tuning the degree distribution exponent $\gamma$, which interpolates between starlike a…

[Phys. Rev. E 113, L042301] Published Thu Apr 30, 2026

The association between tie strength and network structure is a fundamental topic in the analysis of complex social systems. We study this association by analyzing tie strength using higher-order networks, an increasingly relevant model which can encode group interactions between three or more indiv…

[Phys. Rev. E 113, 044311] Published Fri Apr 24, 2026

This paper is a step toward a statistical field theory of language evolution. The author combines tools of statistical physics with tools of statistical inference to create a model in which macroscopic language patterns are rooted in plausible human behaviors.

#Interdisciplinary #AdvancingField

[Phys. Rev. E 113, 044310] Published Thu Apr 23, 2026

Bridging nodes, which connect critical components of a network, play an important role in maintaining structural integrity and facilitating communication within the network, representing indirect yet relevant connections. Epidemic triggering mechanisms in networks often involve long-range mutual act…

[Phys. Rev. E 113, 044308] Published Fri Apr 17, 2026

Temporal networks consist of time-stamped directed interactions that may appear continuously in time, yet few studies have directly tackled the continuous-time modeling of networks. Here, we introduce a maximum-entropy approach to temporal networks and with basic assumptions on constraints, the corr…

[Phys. Rev. E 113, 044309] Published Fri Apr 17, 2026

Large-scale outbreaks of infectious diseases, often spread through person-to-person contact, have historically caused significant morbidity and mortality. In this study, we develop a two-layer SIR (Susceptible–Infected–Recovered) model that accounts for individual mobility within and between populat…

[Phys. Rev. E 113, 044307] Published Thu Apr 16, 2026

In complex ecological communities, species may self-organize into clusters or clumps where highly similar species can coexist. The emergence of such species clusters can be captured by the interplay between neutral and niche theories. Based on the generalized Lotka-Volterra model of competition, we …

[Phys. Rev. E 113, 044306] Published Tue Apr 14, 2026

Coarse-graining methods are crucial for characterizing complex systems across different levels of description. Inspired by renormalization group ideas, such approaches have been applied to structural compression studies in complex networks, where a Laplacian renormalization group based on spectral c…

[Phys. Rev. E 113, 044305] Published Mon Apr 13, 2026

We investigate the transition to synchronization in adaptive multilayer networks with higher-order interactions, both analytically and numerically, in the presence of phase frustration ($\beta$). The higher-order topology consists of pairwise and triadic couplings. The analytical framework for the investi…

[Phys. Rev. E 113, 044303] Published Tue Apr 07, 2026

This paper presents an analytical model for the emergence of reflexively autocatalytic and food-generated (RAF) sets in Kauffman networks. The sharp transition in the probability of observing RAF sets as a function of catalytic probability is a well-documented but unexplained phenomenon. In this pap…

[Phys. Rev. E 113, 044304] Published Tue Apr 07, 2026

Extreme events are the ones for which the magnitude of the event is much larger than its typical values. They have been extensively investigated on classical dynamical and stochastic processes on networks. In this work, in analogy with well-studied extreme events of random walks, the extreme events …

[Phys. Rev. E 113, 044302] Published Fri Apr 03, 2026

Visibility graphs are spatial interpretations of time series. When derived from the time evolution of physical systems, the graphs associated with such series may exhibit properties that can reflect aspects such as ergodicity, criticality, or other dynamical behaviors. It is important to describe ho…

[Phys. Rev. E 113, 044301] Published Thu Apr 02, 2026

In stochastic processes with absorbing states, the quasi-stationary distribution provides valuable insights into the long-term behavior prior to absorption. In this work, we revisit two well-established numerical methods for its computation. The first is an iterative algorithm for solving the nonlin…

[Phys. Rev. E 113, 034316] Published Tue Mar 31, 2026

A large number of complex systems can be represented as directed networks, where the connections (edge weights) between nodes (system states) are such that the flux of the quantity of interest (e.g., energy or information) from node $i$ to $j$ is not equal to that from $j$ to $i$. The network Laplacian unde…

[Phys. Rev. E 113, 034314] Published Wed Mar 25, 2026

Scientific impact emerges from citation networks shaped by nonlinear and out-of-equilibrium dynamics. By analyzing over 30 million scientific papers and 1 billion references across disciplines, we uncover a two-phase correlation structure: a long-term assortative regime, where highly cited works rei…

[Phys. Rev. E 113, 034315] Published Wed Mar 25, 2026

Topological properties play a crucial role in the collective dynamics of coupled oscillators. In this Letter, we reveal a topology-induced phenomenon, including sparsity-induced stochastic resonance (SR) and coherence resonance (CR), in coupled noisy networks. The network sparsity alters the stochas…

[Phys. Rev. E 113, L032302] Published Wed Mar 25, 2026

A network's community structure commonly impacts its functions. For instance, networks seeking synchronization will see this process follow the topology's hierarchical and community structuring. Herein, the interplay of network adjacency and Laplacian eigenspectra is shown to uncover hierarchical in…

[Phys. Rev. E 113, 034313] Published Tue Mar 24, 2026

Understanding the emergent macroscopic behavior of dynamical systems on networks is a crucial but challenging task. One of the simplest and most effective methods to construct a reduced macroscopic model is given by mean-field theory. The resulting approximations perform well on dense and homogeneou…

[Phys. Rev. E 113, 034311] Published Wed Mar 18, 2026

The evolution of natural languages poses a riddle to any theoretical perspective based on efficiency considerations. If languages are already optimally effective means of organization and communication of thought, then why do they change? And if they are driven to become optimally effective in the f…

[Phys. Rev. E 113, 034312] Published Wed Mar 18, 2026

An agent-based model of the economy is generalized to incorporate investment and guaranteed income mechanisms in addition to the exchange and distribution mechanisms considered in an earlier model. We use the tools of statistical physics to show that the system is effectively ergodic, is not in equi…

[Phys. Rev. E 113, 034309] Published Tue Mar 17, 2026

Most networks encountered in nature, society, and technology have weighted edges, representing the strength of the interaction or association between their vertices. Randomizing the structure of a network is a classic procedure used to estimate the statistical significance of properties of the netwo…

[Phys. Rev. E 113, 034310] Published Tue Mar 17, 2026

We study an explosive percolation model in which a link is randomly added and neighboring nodes sequentially rewire their links to suppress the growth of large clusters. In this manner, the rewiring nodes spread outward starting from the initial node closest to the added link. We show that a discont…

[Phys. Rev. E 113, 034307] Published Fri Mar 13, 2026

Michaelis-Menten kinetics is one of the most recognized models in enzyme kinetics, crucial for understanding biochemical reactions in various metabolic processes. In this study, we perform a stochastic analysis of the Michaelis-Menten kinetics with inhibitory mechanisms, which significantly enriches…

[Phys. Rev. E 113, 034308] Published Fri Mar 13, 2026

The frequency of word usage in major Western languages has exhibited small-amplitude regular cycles over the past two centuries. Using large linguistic and economic datasets that allow for long-term quantitative analysis, we demonstrate that these cycles of word usage organize into semantically cohe…

[Phys. Rev. E 113, 034306] Published Thu Mar 12, 2026

In models of opinion dynamics, agents interact with each other and can change their opinions as a result of those interactions. One type of opinion model is a bounded-confidence model (BCM), in which opinions take continuous values and interacting agents compromise their opinions with each other if …

[Phys. Rev. E 113, 034305] Published Wed Mar 11, 2026

Using Foursquare users’ check-in data and heavy truck GPS trajectory data, the authors study the number of intermediate stops in a tour of humans and heavy trucks. They find that the tour length distribution follows a truncated power-law distribution and propose a tour terminate-continue model to explain this.

#Interdisciplinary #AdvancingField

[Phys. Rev. E 113, 034303] Published Fri Mar 06, 2026