Journal of Statistical Physics最新文献

{"title":"Spectral Prediction of Synchronization Clusters in Commuting Multilayer Networks","authors":"Sheida Ansarinasab,&nbsp;Farnaz Ghassemi,&nbsp;Fatemeh Parastesh,&nbsp;Karthikeyan Rajagopal,&nbsp;Sajad Jafari,&nbsp;Matjaž Perc","doi":"10.1007/s10955-026-03633-y","DOIUrl":"10.1007/s10955-026-03633-y","url":null,"abstract":"<div><p>Cluster synchronization, where subsets of nodes evolve coherently while others remain desynchronized, underlies a wide range of coordinated phenomena in complex systems. In networks with multiple types of interactions—so-called hypernetworks—each coupling layer can promote distinct synchronization patterns, making it challenging to predict how coherent groups form and remain stable. Existing symmetry-based methods often require explicit group-theoretic identification, which becomes infeasible for large or structurally heterogeneous systems. Here, we introduce a spectral framework that predicts the hierarchical formation and stability of synchronization clusters in hypernetworks composed of commuting interaction layers. By exploiting the shared eigenspace of layer-specific Laplacian matrices, the framework analytically determines the sequence of cluster formation and decouples their stability via a generalized Master Stability Function. Numerical experiments with Chen and Lorenz oscillators confirm the theoretical predictions, revealing a one-to-one correspondence between spectral organization and the hierarchical emergence of synchronization clusters. This approach provides a unified, computationally efficient method for analyzing and controlling clustered coordination in systems governed by multiple, structurally compatible interaction mechanisms.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03633-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Exploring the Energy Landscape of the Logarithmic Potential: Local Minima and Stationary States","authors":"Paolo Amore,&nbsp;Victor Figueroa,&nbsp;Raymundo Ramos","doi":"10.1007/s10955-026-03629-8","DOIUrl":"10.1007/s10955-026-03629-8","url":null,"abstract":"<div><p>We have performed a detailed exploration of the energy landscape for configurations of points on the sphere, interacting via the logarithmic potential, and corresponding to local minima of the total energy, up to <span>(N = 160)</span>. The growth of <span>(N_textrm{conf})</span> (number of distinct configurations) is exponential, as for the Thomson problem, although weaker. Using the techniques described in our previous paper [1] we have also explored the solution landscape of this problem for <span>(N le 24)</span>, and found that the number of stationary states is growing exponentially.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172201","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Success and Failure of the Stochastic Asymptotic Tracking in Pursuer-Evader Dynamics","authors":"Hyunjin Ahn,&nbsp;Woojoo Shim","doi":"10.1007/s10955-026-03636-9","DOIUrl":"10.1007/s10955-026-03636-9","url":null,"abstract":"<div><p>We analyze a sufficient framework to predetermine the success or failure of stochastic asymptotic tracking in pursuer-evader dynamics. Specifically, we formulate a stochastic extension of the deterministic model studied in literature, which shares a similar interaction structure but lacks positive invariance. Within this setting, we establish conditions under which stochastic asymptotic tracking succeeds (pursuer winning) or fails (evader winning), providing both qualitative and quantitative characterizations of these regimes.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03636-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Ground State Energy Fluctuations of Pinned Elastic Manifolds","authors":"Yan V. Fyodorov,&nbsp;Bertrand Lacroix-A-Chez-Toine,&nbsp;Pierre Le Doussal","doi":"10.1007/s10955-026-03628-9","DOIUrl":"10.1007/s10955-026-03628-9","url":null,"abstract":"<div><p>We describe the atypical fluctuations of the ground state energy of the random elastic manifold, a disordered model defined on a lattice of linear size <i>L</i> with internal dimension <span>(0le d&lt;4)</span> embedded in a medium of dimension <span>(Ngg 1)</span>. The ground-state energy results from a competition between confinement, elasticity and disorder. We obtain an exact description of the large deviation rate function with speed <span>(NL^d)</span> and its different phases, corresponding to different patterns of replica symmetry breaking (RSB). Our results show that the ground-state energy satisfies a central limit theorem and we obtain an explicit expression for the rescaled variance. In the (massless) limit of zero confinement, this variance vanishes for short-range disorder and the ground-state energy displays super-concentration. From our results on the large deviation function, we characterise explicitly the left tail of the distribution of the typical fluctuations of the ground state energy. It displays an exponential tail for a one step RSB pattern while for a full RSB pattern it decays super-exponentially with a non trivial exponent <span>(xi )</span> that we compute explicitly.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13221354/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148136339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Wealth Thermalization Hypothesis and Social Networks","authors":"Klaus M. Frahm,&nbsp;Dima L. Shepelyansky","doi":"10.1007/s10955-026-03621-2","DOIUrl":"10.1007/s10955-026-03621-2","url":null,"abstract":"<div><p>In 1955 Fermi, Pasta, Ulam and Tsingou performed first numerical studies with the aim to obtain the thermalization in a chain of nonlinear oscillators from dynamical equations of motion. This model happend to have several specific features and the dynamical thermalization was established only later in other studies. In this work we study more generic models based on Random Matrix Theory and social networks with a nonlinear perturbation leading to dynamical thermalization above a certain chaos border. These systems have two integrals of motion being total energy and norm so that the theoretical Rayleigh-Jeans thermal distribution depends on temperature and chemical potential. We introduce the wealth thermalization hypothesis according to which the society wealth is associated with energy in the Rayleigh-Jeans distribution. At relatively small values of total wealth or energy there is a formation of the Rayleigh-Jeans condensate, well studied in physical systems such as multimode optical fibers. This condensation leads to a huge fraction of poor households at low wealth and a small oligarchic fraction which monopolizes a dominant fraction of total wealth thus generating a strong inequality in human society. We show that this thermalization gives a good description of real data of Lorenz curves of US, UK, the whole world and capitalization of companies at Stock Exchange of New York SE (NYSE), London and Hong Kong. It is also shown that above a chaos border the dynamical Rayleigh-Jeans thermalization takes place also in social networks with the Lorenz curves being similar to those of wealth distribution in world countries. Possible actions for inequality reduction are briefly discussed.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03621-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mixed Order Phase Transition in a Locally Constrained Exclusion Process","authors":"Gunter M. Schütz,&nbsp;Ali Zahra","doi":"10.1007/s10955-026-03623-0","DOIUrl":"10.1007/s10955-026-03623-0","url":null,"abstract":"<div><p>We investigate a novel variant of the exclusion process in which particles perform asymmetric nearest-neighbor jumps across a bond <span>((k, k+1))</span> only if the preceding site <span>((k-1))</span> is unoccupied. This next-nearest-neighbor constraint significantly enriches the system’s dynamics, giving rise to long-range correlations and a mixed-order transition controlled by the asymmetry parameter. We focus on the critical case of half filling, where the system splits into two ergodic components, each associated with an invariant reversible measure. The combinatorial structure of this equilibrium distribution is intimately connected to the <span>(q)</span>-Catalan numbers, enabling us to derive rigorously the asymptotic behavior of key thermodynamic quantities in the strongly asymmetric regime and to conjecture their behavior in the weakly asymmetric limit. Even though the system is one-dimensional and has short-range interactions, an equilibrium phase transition occurs between a clustered phase – characterized by slow dynamics, long-range correlations with thermodynamic additivity, and spontaneous breaking of translational symmetry – and a fluid phase where the correlations are short-range and which is thermodynamically additive. This equilibrium phase transition features characteristics of a first-order transition, such as a discontinuous order parameter as well as characteristics of a second-order transition, namely a divergent susceptibility at the transition point. We also briefly discuss densities higher than one half, where ergodicity is broken.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Multiscale Analysis of the Conductivity in the Lorentz Mirrors Model","authors":"Raphaël Lefevere","doi":"10.1007/s10955-026-03627-w","DOIUrl":"10.1007/s10955-026-03627-w","url":null,"abstract":"<div><p>We study deterministic transport in a random medium using the mirrors model, a lattice Lorentz gas at unit density in which a particle moves deterministically in a frozen random configuration of mirror–scatterers. Despite the absence of chaos and the existence of finite trapping loops, numerical evidence suggests that the model exhibits normal conductivity in <span>(d=3)</span>. We develop a recursive multiscale expansion for the crossing probability of a slab of width <i>N</i>, showing that <span>(C_N sim kappa /(kappa +N))</span> for large <i>N</i> and computing the conductivity constant <span>(kappa )</span> through a renormalization procedure based on scale concatenation. The key idea is that a slab of width <span>(2^{n+1})</span> may be decomposed into two independent slabs of width <span>(2^n)</span>, and that the crossing event can be expressed as a sum over trajectories that cross the left half, return a few times to the interface between the two halves, and finally cross the right half. This gives rise to a recursive relation in which the leading normal conduction scaling is propagated from scale <span>(2^n)</span> to scale <span>(2^{n+1})</span>, while the subleading term yields the correction to the conductivity constant. For the mirrors model, it involves a correction factor with respect to a reference Markovian process that encodes correlations between crossings at scale <span>(2^n)</span>. These correlations are controlled through a closure assumption whose structure is shaped by the hard–core exclusion inherent to the reversible deterministic dynamics. The dominant contribution comes from trajectories with a single interface return, whose asymptotic contribution we identify explicitly. In <span>(d=3)</span> the recursion takes the form </p><div><div><span>$$ kappa _{n+1}=kappa _nBigl (1+alpha ,frac{kappa _n}{2^n}+o(2^{-n})Bigr ), qquad alpha simeq 0.0374, $$</span></div></div><p>leading to a finite limit <span>(kappa _infty simeq 1.5403)</span>, in good agreement with numerical simulations performed in this paper. This value is close to the conductivity constant of a non–backtracking random walk, suggesting that the large–scale behavior of the mirrors model is effectively Markovian even though the microscopic dynamics is fully deterministic.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Rate of Convergence of the Critical Mean-Field O(N) Magnetization Via Multivariate Nonnormal Stein’s Method","authors":"Timothy M. Garoni,&nbsp;Aram Perez,&nbsp;Zongzheng Zhou","doi":"10.1007/s10955-026-03625-y","DOIUrl":"10.1007/s10955-026-03625-y","url":null,"abstract":"<div><p>We study the distribution of the magnetization of the critical mean-field <i>O</i>(<i>N</i>) model with <span>(Nge 2)</span>. Specifically, we bound the Wasserstein distance between the finite-volume and limiting distributions, in terms of the number of spins. To achieve this, we extend a recent multivariate nonnormal approximation theorem. This generalizes known results for the Curie-Weiss magnetization to the multivariate <i>O</i>(<i>N</i>) setting.\u0000</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03625-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Stability of the (pi )-Flux Phase for (mathbb {Z}_{2}) Lattice Gauge Theory Coupled to Fermionic Matter","authors":"Leonardo Goller,&nbsp;Marcello Porta","doi":"10.1007/s10955-026-03617-y","DOIUrl":"10.1007/s10955-026-03617-y","url":null,"abstract":"<div><p>We consider the two-dimensional <span>(mathbbm {Z}_{2})</span> lattice gauge theory coupled to fermionic matter. In absence of electric fields, we prove that, at half-filling, the ground state of the gauge theory coincides with the <span>(pi )</span>-flux phase, associated with magnetic flux equal to <span>(pi )</span> in every elementary lattice plaquette, provided the fermionic hopping is large enough. This proves in particular the semimetallic behavior of the ground state of the model. Furthermore, we compute the magnetic susceptibility of the gauge theory, and we prove that it is given by the one of massless 2<i>d</i> Dirac fermions, thus rigorously justifying recent numerical simulations. The proof is based on reflection positivity and chessboard estimates, and on lattice conservation laws for the computation of the transport coefficient.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03617-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Foundation of classical dynamical density functional theory: uniqueness of time-dependent density–potential mappings","authors":"Michael Andreas Klatt,&nbsp;Christian Bair,&nbsp;Hartmut Löwen,&nbsp;René Wittmann","doi":"10.1007/s10955-026-03618-x","DOIUrl":"10.1007/s10955-026-03618-x","url":null,"abstract":"<div><p>When can we map a classical density profile to an external potential? In equilibrium, without time dependence, the one-body density is known to specify the external potential that is applied to the many-body system. This mapping from a density to the potential is the cornerstone of classical density functional theory (DFT). Here, we consider non-equilibrium, time-dependent many-body systems that evolve from a given initial condition. We derive explicit conditions, for example, no flux at the boundary, that ensure that the mapping from the density to a time-dependent external potential is unique. We thus prove the underlying assertion of dynamical density functional theory (DDFT) — without resorting to the so-called adiabatic approximation often used in applications. By ascertaining uniqueness for all <i>n</i>-body densities, we ensure that the proof — and the physical conclusions drawn from it — hold for general <i>superadiabatic</i> dynamics of interacting systems even in the presence of (known) non-conservative forces.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03618-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147967943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}