Journal of Statistical Physics最新文献

Cumulants and Large Deviations for the Linear Statistics of the One-Dimensional Trapped Riesz Gas

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-02 DOI: 10.1007/s10955-025-03429-6

Pierre Le Doussal, Grégory Schehr

{"title":"Cumulants and Large Deviations for the Linear Statistics of the One-Dimensional Trapped Riesz Gas","authors":"Pierre Le Doussal, Grégory Schehr","doi":"10.1007/s10955-025-03429-6","DOIUrl":"10.1007/s10955-025-03429-6","url":null,"abstract":"<div>We consider the classical trapped Riesz gas, i.e., N particles at positions (x_i) in one dimension with a repulsive power law interacting potential (propto 1/|x_i-x_j|^{k}), with (k>-2), in an external confining potential of the form (V(x) sim |x|^n). We focus on the equilibrium Gibbs state of the gas, for which the density has a finite support ([-ell _0/2,ell _0/2]). We study the fluctuations of the linear statistics ({{mathcal {L}}}_N = sum _{i=1}^N f(x_i)) in the large N limit for smooth functions f(x). We obtain analytic formulae for the cumulants of ({{mathcal {L}}}_N) for general (k>-2). For long range interactions, i.e. (k<1), which include the log-gas ((k rightarrow 0)) and the Coulomb gas ((k =-1)) these are obtained for monomials (f(x)= |x|^m). For short range interactions, i.e. (k>1), which include the Calogero–Moser model, i.e. (k=2), we compute the third cumulant of ({{mathcal {L}}}_N) for general f(x) and arbitrary cumulants for monomials (f(x)= |x|^m). We also obtain the large deviation form of the probability distribution of ({{mathcal {L}}}_N), which exhibits an “evaporation transition” where the fluctuation of ({{mathcal {L}}}_N) is dominated by the one of the largest (x_i). In addition, in the short range case, we extend our results to a (non-smooth) indicator function f(x), obtaining thereby the higher order cumulants for the full counting statistics of the number of particles in an interval ([-L/2,L/2]). We show in particular that they exhibit an interesting scaling form as L/2 approaches the edge of the gas (L/ell _0 rightarrow 1), which we relate to the large deviations of the emptiness probability of the complementary interval on the real line.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749229","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

Variational Principles of Relative Weighted Topological Pressure

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-02 DOI: 10.1007/s10955-025-03434-9

Zhengyu Yin

引用次数: 0

Analyticity for Locally Stable Hard-Core Gases Via Recursion

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-27 DOI: 10.1007/s10955-025-03435-8

Qidong He

引用次数: 0

A Non-inertial Model for Particle Aggregation Under Turbulence 湍流条件下的粒子聚集非惯性模型

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-25 DOI: 10.1007/s10955-025-03437-6

Franco Flandoli, Ruojun Huang

{"title":"A Non-inertial Model for Particle Aggregation Under Turbulence","authors":"Franco Flandoli, Ruojun Huang","doi":"10.1007/s10955-025-03437-6","DOIUrl":"10.1007/s10955-025-03437-6","url":null,"abstract":"<div>We consider an abstract non-inertial model of aggregation under the influence of a Gaussian white noise with prescribed space-covariance, and prove a formula for the mean collision rate R, per unit of time and volume. Specializing the abstract theory to a non-inertial model obtained by an inertial one, with physical constants, in the limit of infinitesimal relaxation time of the particles, and the white noise obtained as an approximation of a Gaussian noise with correlation time (tau _{eta }), up to approximations the formula reads (Rsim tau _{eta }leftlangle left| Delta _{a}uright| ^{2}rightrangle acdot n^{2}) where n is the particle number per unit of volume and (leftlangle left| Delta _{a}uright| ^{2}rightrangle ) is the square-average of the increment of random velocity field u between points at distance a, the particle radius. If we choose the Kolmogorov time scale (tau _{eta }sim left( frac{nu }{varepsilon }right) ^{1/2}) and we assume that a is in the dissipative range where (leftlangle left| Delta _{a}uright| ^{2}rightrangle sim left( frac{varepsilon }{nu }right) a^{2}), we get Saffman–Turner formula for the collision rate R.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03437-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688376","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

Implementing Bogoliubov Transformations Beyond the Shale–Stinespring Condition

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-25 DOI: 10.1007/s10955-025-03415-y

Sascha Lill

引用次数: 0

Entropy-Driven Dimerization

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-14 DOI: 10.1007/s10955-025-03426-9

Mauro Sellitto

引用次数: 0

Quasi-Stationary Distributions of Non-Absorbing Markov Chains

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-14 DOI: 10.1007/s10955-025-03427-8

Roberto Fernandez, Francesco Manzo, Matteo Quattropani, Elisabetta Scoppola

{"title":"Quasi-Stationary Distributions of Non-Absorbing Markov Chains","authors":"Roberto Fernandez, Francesco Manzo, Matteo Quattropani, Elisabetta Scoppola","doi":"10.1007/s10955-025-03427-8","DOIUrl":"10.1007/s10955-025-03427-8","url":null,"abstract":"<div>We consider reversible ergodic Markov chains with finite state space, and we introduce a new notion of quasi-stationary distribution that does not require the presence of any absorbing state. In our setting, the hitting time of the absorbing set is replaced by an optimal strong stationary time, representing the “hitting time of the stationary distribution”. On the one hand, we show that our notion of quasi-stationary distribution corresponds to the natural generalization of the Yaglom limit. On the other hand, similarly to the classical quasi-stationary distribution, we show that it can be written in terms of the eigenvectors of the underlying Markov kernel, and it is therefore amenable of a geometric interpretation. Moreover, we recover the usual exponential behavior that characterizes quasi-stationary distributions and metastable systems. We also provide some toy examples, which show that the phenomenology is richer compared to the absorbing case. Finally, we present some counterexamples, showing that the assumption on the reversibility cannot be weakened in general.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03427-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612285","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

Symmetry Classes of Classical Stochastic Processes

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-12 DOI: 10.1007/s10955-025-03423-y

Lucas Sá, Pedro Ribeiro, Tomaž Prosen, Denis Bernard

{"title":"Symmetry Classes of Classical Stochastic Processes","authors":"Lucas Sá, Pedro Ribeiro, Tomaž Prosen, Denis Bernard","doi":"10.1007/s10955-025-03423-y","DOIUrl":"10.1007/s10955-025-03423-y","url":null,"abstract":"<div>We perform a systematic symmetry classification of the Markov generators of classical stochastic processes. Our classification scheme is based on the action of involutive symmetry transformations of a real Markov generator, extending the Bernard-LeClair scheme to the arena of classical stochastic processes and leading to a set of up to fifteen allowed symmetry classes. We construct families of solutions of arbitrary matrix dimensions for five of these classes with a simple physical interpretation of particles hopping on multipartite graphs. In the remaining classes, such a simple construction is prevented by the positivity of entries of the generator particular to classical stochastic processes, which imposes a further requirement beyond the usual symmetry classification constraints. We partially overcome this difficulty by resorting to a stochastic optimization algorithm, finding specific examples of generators of small matrix dimensions in six further classes, leaving the existence of the final four allowed classes an open problem. Our symmetry-based results unveil new possibilities in the dynamics of classical stochastic processes: Kramers degeneracy of eigenvalue pairs, dihedral symmetry of the spectra of Markov generators, and time reversal properties of stochastic trajectories and correlation functions.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03423-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143594671","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

Numerical Prediction of the Steady-State Distribution Under Stochastic Resetting from Measurements

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-11 DOI: 10.1007/s10955-025-03431-y

Ron Vatash, Amy Altshuler, Yael Roichman

{"title":"Numerical Prediction of the Steady-State Distribution Under Stochastic Resetting from Measurements","authors":"Ron Vatash, Amy Altshuler, Yael Roichman","doi":"10.1007/s10955-025-03431-y","DOIUrl":"10.1007/s10955-025-03431-y","url":null,"abstract":"<div>A common and effective method for calculating the steady-state distribution of a process under stochastic resetting is the renewal approach that requires only the knowledge of the reset-free propagator of the underlying process and the resetting time distribution. The renewal approach is widely used for simple model systems such as a freely diffusing particle with exponentially distributed resetting times. However, in many real-world physical systems, the propagator, the resetting time distribution, or both are not always known beforehand. In this study, we develop a numerical renewal method to determine the steady-state probability distribution of particle positions based on the measured system propagator in the absence of resetting combined with the known or measured resetting time distribution. We apply and validate our method in two distinct systems: one involving interacting particles and the other featuring strong environmental memory. Thus, the renewal approach can be used to predict the steady state under stochastic resetting of any system, provided that the free propagator can be measured and that it undergoes complete resetting.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03431-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583598","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

Villain Action in Lattice Gauge Theory

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-03-10 DOI: 10.1007/s10955-025-03420-1

Ilya Chevyrev, Christophe Garban

引用次数: 0