Journal of Statistical Physics最新文献

Persistence Probabilities for MA(1) Sequences with Uniform Innovations 具有一致创新的MA(1)序列的持续概率

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-17 DOI: 10.1007/s10955-026-03720-0

Frank Aurzada, Kilian Raschel

引用次数: 0

Simple Analyticity Criteria for Repulsive Multi-body Potentials 排斥多体势的简单分析准则

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-17 DOI: 10.1007/s10955-026-03722-y

Tyler Helmuth, Marcus Pappik, Will Perkins

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Non-Markov Logistic Evolution with Bounded and Unbounded Noisy Growth Rate: Moments, Dispersion and Extrema Densities 具有有界和无界噪声增长率的非马尔可夫逻辑演化：矩、色散和极值密度

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-16 DOI: 10.1007/s10955-026-03721-z

Guillermo Hansen, Manuel O. Cáceres

{"title":"Non-Markov Logistic Evolution with Bounded and Unbounded Noisy Growth Rate: Moments, Dispersion and Extrema Densities","authors":"Guillermo Hansen, Manuel O. Cáceres","doi":"10.1007/s10955-026-03721-z","DOIUrl":"10.1007/s10955-026-03721-z","url":null,"abstract":"<div>We propose an extended logistic equation with a generic fluctuating growth rate and solve the resulting random differential equation driven by bounded or unbounded non-white noise, using a previously reported functional method. This approach yields the exact evolution of the probability density function (PDF), moments and dispersion for different types of noise, namely, Gaussian colored noise (GCN), dichotomous noise, decaying noise, and Lévy noise, that may perturb the growth rate of a population. To address the problem of extrema densities for the logistic equation, we obtain exact analytical formulas for the maxima and minima densities, the first-passage time density, and the mean first-passage time for the particular case of Gaussian white noise (GWN). For the GCN, we further introduce an absorbing-boundary approximation that allows us to calculate analytically the maxima, minima, and first-passage time densities. Analytical predictions for the mean first-passage time are validated by Monte Carlo simulations in which the colored-noise trajectories are generated by an exact sampling scheme for the Ornstein-Uhlenbeck process, valid for any discretization step.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 11","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176651","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}

引用次数: 0

Interview with Mary Tsingou Menzel, November 22, 2024 2024年11月22日，Mary Tsingou Menzel接受采访

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-16 DOI: 10.1007/s10955-026-03699-8

Thierry Dauxois, Ann Menzel, Antonio Ponno, Stefano Ruffo, Mary Tsingou-Menzel

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One-Dimensional Particle Clouds with Elastic Collisions 具有弹性碰撞的一维粒子云

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-13 DOI: 10.1007/s10955-026-03700-4

Mikhail Menshikov, Serguei Popov, Andrew Wade

{"title":"One-Dimensional Particle Clouds with Elastic Collisions","authors":"Mikhail Menshikov, Serguei Popov, Andrew Wade","doi":"10.1007/s10955-026-03700-4","DOIUrl":"10.1007/s10955-026-03700-4","url":null,"abstract":"<div>We study an interacting particle system of a finite number of labelled particles on the integer lattice, in which particles have intrinsic masses and left/right jump rates. If a particle is the minimal-label particle at its site when it tries to jump left, the jump is executed. If not, ‘momentum’ is transferred to increase the rate of jumping left of the minimal-label particle. Similarly for jumps to the right. The collision rule is ‘elastic’ in the sense that the net rate of flow of mass is independent of the present configuration, in contrast to the exclusion process, for example. We show that the particle masses and jump rates determine explicitly, via a concave majorant of a simple ‘potential’ function associated to the masses and jump rates, a unique partition of the system into maximal stable subsystems. The internal configuration of each stable subsystem remains tight, while the location of each stable subsystem obeys a strong law of large numbers with an explicit speed. We indicate connections to adjacent models, including diffusions with rank-based coefficients, where, to the authors’ knowledge, the problem of identifying the analogous decomposition into stable sub-systems is yet to be fully solved.\u0000</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189126","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}

引用次数: 0

On Local Large Deviations for Decoupled Random Walks 解耦随机行走的局部大偏差

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-13 DOI: 10.1007/s10955-026-03715-x

Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych

{"title":"On Local Large Deviations for Decoupled Random Walks","authors":"Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych","doi":"10.1007/s10955-026-03715-x","DOIUrl":"10.1007/s10955-026-03715-x","url":null,"abstract":"<div>A decoupled standard random walk is a sequence of independent random variables ((hat{S}_n)_{n ge 1}) such that, for each (n ge 1), the distribution of (hat{S}_n) is the same as that of (S_n = xi _1 + ldots + xi _n), where ((xi _k)_{k ge 1}) are independent copies of a nonnegative random variable (xi ). We consider the counting process ((hat{N}(t))_{tge 0}) defined as the number of terms (hat{S}_n) in the sequence ((hat{S}_n)_{n ge 1}) that lie within the interval [0, t]. Under various assumptions on the tail distribution of (xi ), we derive logarithmic asymptotics for the local large deviation probabilities (P{hat{N}(t) = lfloor bE[hat{N}(t)]}) as (t rightarrow infty ) for a fixed constant (b>0). These results are then applied to obtain a logarithmic local large deviations asymptotic for the counting process associated with the infinite Ginibre ensemble and, more generally, for determinantal point processes with the Mittag-Leffler kernel.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03715-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189124","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}

引用次数: 0

Sequential Detection and Estimation of Multiple Thresholds in Nonlinear Stochastic Differential Equations 非线性随机微分方程中多阈值的序列检测与估计

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-13 DOI: 10.1007/s10955-026-03704-0

Dingwen Zhang, Jian Zhao, Zhuowei Sun

引用次数: 0

Quasi-Product States and Factor Types for the One-Dimensional Hard-Core Model 一维硬核模型的准积态和因子类型

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-12 DOI: 10.1007/s10955-026-03691-2

Farrukh Mukhamedov, Yuri Suhov

{"title":"Quasi-Product States and Factor Types for the One-Dimensional Hard-Core Model","authors":"Farrukh Mukhamedov, Yuri Suhov","doi":"10.1007/s10955-026-03691-2","DOIUrl":"10.1007/s10955-026-03691-2","url":null,"abstract":"<div>We study the von Neumann algebra generated by a quasi-product state associated with the one-dimensional hard-core lattice gas. If (kappa >0) denotes the activity (fugacity), the transfer-matrix construction gives the stationary transition matrix <div><div>$$ P=begin{pmatrix}p& q 1& 0end{pmatrix}, quad p+q=1, quad kappa =frac{q}{p^2}. $$</div></div>The stationary Markov measure on the hard-core path space induces a faithful diagonal state on the corresponding path (AF)-algebra. We give a state-preserving identification of its GNS von Neumann algebra with the Feldman–Moore algebra of the measured tail equivalence relation. The relation is hyperfinite and ergodic, and its nonzero ratio set is (kappa ^{mathbb {Z}}). Consequently, the generated algebra is the hyperfinite factor of type (textrm{II}_1) when (kappa =1), and of type (textrm{III}_{lambda }), where (lambda =min {kappa ,kappa ^{-1}}), when (kappa ne 1). The point (kappa =1) is not a thermodynamic phase transition: the pressure and particle density are analytic for all (kappa >0). We also describe the precise support-corner relation with the GNS algebra of the diagonal Gibbs state on the quasi-local spin algebra, and we determine the centralizer and the flow of weights.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189257","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}

引用次数: 0

Sensitivity–Chaos Equivalence in Linear Cellular Automata 线性元胞自动机的灵敏度-混沌等价

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-12 DOI: 10.1007/s10955-026-03714-y

Chunlin Liu, Changlin Wang

{"title":"Sensitivity–Chaos Equivalence in Linear Cellular Automata","authors":"Chunlin Liu, Changlin Wang","doi":"10.1007/s10955-026-03714-y","DOIUrl":"10.1007/s10955-026-03714-y","url":null,"abstract":"<div>We study the interplay between various notions of chaos for scalar linear cellular automata over (mathbb Z_m). We show that the following properties are equivalent:<ul>\u0000 <li>\u0000 sensitivity (equivalently, the system is neither equicontinuous nor mean equicontinuous);\u0000 </li>\u0000 <li>\u0000 mean sensitivity (equivalently, k-sensitivity and k-mean sensitivity for every integer (kge 2));\u0000 </li>\u0000 <li>\u0000 Li–Yorke chaos (equivalently, mean Li–Yorke chaos and k-mean Li–Yorke sensitivity for every integer (kge 2));\u0000 </li>\u0000 <li>\u0000 the existence of a non-atomic ergodic invariant probability measure whose support contains the null configuration.\u0000 </li>\u0000 </ul> As a consequence, each such scalar linear cellular automaton is either equicontinuous (and hence mean equicontinuous) or simultaneously mean sensitive and Li–Yorke chaotic.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189258","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}

引用次数: 0

Response Theory for Locally Gapped Systems 局部间隙系统的响应理论。

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-10-12 DOI: 10.1007/s10955-026-03703-1

Joscha Henheik, Tom Wessel

{"title":"Response Theory for Locally Gapped Systems","authors":"Joscha Henheik, Tom Wessel","doi":"10.1007/s10955-026-03703-1","DOIUrl":"10.1007/s10955-026-03703-1","url":null,"abstract":"<div>We introduce a notion of a local gap for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo’s formula for localized perturbations in such settings. On a high level, our result shows that the usual spectral gap condition, which concerns the system as a whole, is not a necessary condition for understanding local properties of the system. More precisely, we say that an equilibrium state (rho _0) of a Hamiltonian (H_0) is locally gapped in ({varLambda ^{textrm{gap}}}subset varLambda ), whenever the Liouvillian (- textrm{i}, [H_0, , cdot , ]) is almost invertible on local observables supported in ({varLambda ^{textrm{gap}}}) when tested in (rho _0). To put this into context, we provide other alternative notions of a local gap and discuss their relations. The validity of response theory is based on the construction of non-equilibrium almost stationary states (NEASSs). By controlling locality properties of the NEASS construction, we show that response theory holds to any order, whenever the perturbation (varepsilon V) acts in a region which is further than (|log varepsilon |) away from the non-gapped region (varLambda backslash varLambda textrm{gap}).\u0000</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13658436/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149178620","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}

引用次数: 0