Journal of Statistical Physics最新文献_第8页

Maximal Rigidity of Random Measures and Uniqueness Pairs: Stealthy Processes, Quasicrystals and Periodicity 随机测度和唯一对的最大刚性：隐形过程、准晶体和周期性

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-07-04 DOI: 10.1007/s10955-026-03635-w

Raphaël Lachièze-Rey

{"title":"Maximal Rigidity of Random Measures and Uniqueness Pairs: Stealthy Processes, Quasicrystals and Periodicity","authors":"Raphaël Lachièze-Rey","doi":"10.1007/s10955-026-03635-w","DOIUrl":"10.1007/s10955-026-03635-w","url":null,"abstract":"<div><p>This article investigates the phenomenon of <i>maximal rigidity</i> in random spatial systems, where perfect interpolation of the process is possible from partial information, specifically, from its restriction to a strict subdomain, often resulting in a trivial tail <span>(sigma )</span>-algebra. A classical example known since the 1930’s is that a time series is <i>deterministic</i>, i.e. fully determined by its values on the negative integers if its spectrum has a gap, or at least a sufficiently deep zero. We extend such results to higher dimensions and continuous settings by establishing a connection with the concept of <i>uniqueness pairs</i>, rooted in the uncertainty principle of harmonic analysis. We present several other manifestations of this principle, unify and strengthen seemingly unrelated results across different models: stealthy processes are shown to be maximally rigid on cones, and for quasicrystals this cone can be arbitrarily small; discrete integer-valued processes are necessarily periodic when they have a simply connected spectrum. Finally, we identify a surprising class of continuous fields with seemingly standard behavior, such as linear variance and finite dependency range, that undergo a phase transition: they are perfectly interpolable on <span>(B(0,rho ))</span> for <span>(0<rho le 2/pi )</span> but exhibit no rigidity for <span>(rho >2)</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380183","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

Maximum Cluster Diameter in Non-critical Bond Percolation 非临界键渗透中的最大团簇直径

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-07-04 DOI: 10.1007/s10955-026-03622-1

Kaito Kobayashi

引用次数: 0

Pure Perimeter Laws for Wilson Lines Observables 可观测威尔逊线的纯周界定律

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-06-29 DOI: 10.1007/s10955-026-03648-5

Malin P. Forsström

引用次数: 0

Dynamical Analysis of Vector-Host Diseases Model in a Periodic Environment 周期环境下媒介-宿主疾病模型的动力学分析

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-06-27 DOI: 10.1007/s10955-026-03650-x

Haijie Li, Guirong Liu

{"title":"Dynamical Analysis of Vector-Host Diseases Model in a Periodic Environment","authors":"Haijie Li, Guirong Liu","doi":"10.1007/s10955-026-03650-x","DOIUrl":"10.1007/s10955-026-03650-x","url":null,"abstract":"<div><p>This study investigates the impact of seasonal weather variations on malaria transmission by developing and analyzing both deterministic and stochastic non-autonomous models. We first show that the global dynamics of the deterministic model are governed by the basic reproduction number <span>(R_0)</span>: when <span>({{R}_{0}}<1)</span>, the disease-free periodic solution is globally asymptotically stable; when <span>(R_0 > 1)</span>, the disease is uniformly persistent in the population. Building on the same biological assumptions, we further formulate a time nonhomogeneous stochastic model and develop an analytical solution for the probability of disease extinction by applying multi-type branching process approximation and backward Kolmogorov differential equations. Our analytical solution reveals that the probability of disease extinction varies periodically with the initial time and depends on the initial number of infected individuals. Moreover, we derive analytical expressions for the mean and variance of the time to disease extinction. Additionally, this study investigates the malaria situation in Nigeria over the period 2018-2024. Our model demonstrates a strong fit with real-world data on both monthly cases and monthly cumulative cases during this period. Numerical simulations confirm the analytical results and illustrate the impact of the treatment rate on long-term disease dynamics and the probability of disease extinction. Further, we analyze two important indicators: the total infectivity time and the total treatment time. The theoretical analytical solutions are strongly supported by numerical simulations, which show close agreement between the branching process approximation and Monte Carlo estimates, thereby validating the reliability and predictive capability of the proposed stochastic modeling approach. These findings may offer useful insights for malaria control.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323978","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 the Leading Order Term of the Lattice Yang-Mills Free Energy 点阵Yang-Mills自由能的导阶项

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-06-24 DOI: 10.1007/s10955-026-03649-4

Christian Brennecke

引用次数: 0

A Systematic Path to Non-Markovian Dynamics II: Probabilistic Response of Nonlinear Multidimensional Systems to Gaussian Colored Noise Excitation 非马尔可夫动力学的系统路径II：非线性多维系统对高斯有色噪声激励的概率响应

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-06-24 DOI: 10.1007/s10955-026-03626-x

G. A. Athanassoulis, N. P. Nikoletatos-Kekatos, K. I. Mamis

{"title":"A Systematic Path to Non-Markovian Dynamics II: Probabilistic Response of Nonlinear Multidimensional Systems to Gaussian Colored Noise Excitation","authors":"G. A. Athanassoulis, N. P. Nikoletatos-Kekatos, K. I. Mamis","doi":"10.1007/s10955-026-03626-x","DOIUrl":"10.1007/s10955-026-03626-x","url":null,"abstract":"<div><p>The probabilistic characterization of non-Markovian responses to nonlinear dynamical systems under colored excitation is an important issue, arising in many applications. Extending the Fokker-Planck-Kolmogorov equation, governing the first-order response probability density function (pdf), to this case is a complicated task calling for special treatment. In this work, a new pdf-evolution equation is derived for the response of nonlinear dynamical systems under additive colored Gaussian noise. The derivation is based on the Stochastic Liouville equation (SLE), transformed, by means of an extended version of the Novikov-Furutsu theorem, to an exact yet non-closed equation, involving averages over the history of the functional derivatives of the non-Markovian response with respect to the excitation. The latter are calculated exactly by means of the state-transition matrix of variational, time-varying systems. Subsequently, an approximation scheme is implemented, relying on a decomposition of the state-transition matrix in its instantaneous mean value and its fluctuation around it. By a current-time approximation to the latter, we obtain our final equation, in which the effect of the instantaneous mean value of the response is maintained, rendering it nonlinear and non-local in time. Numerical results for the response pdf are provided for a bistable Duffing oscillator, under Gaussian excitation. The pdfs obtained from the solution of the novel equation and a simpler small correlation time (SCT) pdf-evolution equation are compared to Monte Carlo (MC) simulations. The novel equation outperforms the SCT equation as the excitation correlation time increases, keeping good agreement with the MC simulations.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 7","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03626-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323273","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

Effect of Visual Field in the Cucker-Smale Flocking Model 视野对cucker - small flock模型的影响

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-06-24 DOI: 10.1007/s10955-026-03653-8

Yu-Jie Gao, Jiu-Gang Dong

引用次数: 0

Large Deviations for Subgraphs in Inhomogeneous Random Graphs 非齐次随机图中子图的大偏差

IF 1.1 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-06-22 DOI: 10.1007/s10955-026-03647-6

Riccardo Michielan, Clara Stegehuis, Bert Zwart

引用次数: 0

Resonances and Adiabatic Invariants for the FPUT System FPUT系统的共振和绝热不变量