Journal of Statistical Physics最新文献_第2页

Can One Condition a Killed Random Walk to Survive? 被杀死的随机漫步是否能够存活？

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-17 DOI: 10.1007/s10955-025-03511-z

Lucas Rey, Augusto Teixeira

{"title":"Can One Condition a Killed Random Walk to Survive?","authors":"Lucas Rey, Augusto Teixeira","doi":"10.1007/s10955-025-03511-z","DOIUrl":"10.1007/s10955-025-03511-z","url":null,"abstract":"<div><p>We consider the simple random walk on <span>(mathbb {Z}^d)</span> killed with probability <i>p</i>(|<i>x</i>|) at site <i>x</i> for a function <i>p</i> decaying at infinity. Due to recurrence in dimension <span>(d=2)</span>, the killed random walk (KRW) dies almost surely if <i>p</i> is positive, while in dimension <span>(d ge 3)</span> it is known that the KRW dies almost surely if and only if <span>(int _0^{infty }rp(r)dr = infty )</span>, under mild technical assumptions on <i>p</i>. In this paper we consider, for any <span>(d ge 2)</span>, functions <i>p</i> for which the random walk will die almost surely and we ask ourselves if the KRW conditioned to survive is well-defined. More precisely, given an exhaustion <span>((Lambda _R)_{R in mathbb {N}})</span> of <span>(mathbb {Z}^d)</span>, does the KRW conditioned to leave <span>(Lambda _R)</span> before dying converges in distribution towards a limit which does not depend on the exhaustion? We first prove that this conditioning is well-defined for <span>(p(r) = o(r^{-2}))</span>, and that it is not for <span>(p(r) = min (1, r^{-alpha }))</span> for <span>(alpha in (14/9,2))</span>. This question is connected to branching random walks and the infinite snake. More precisely, in dimension <span>(d=4)</span>, the infinite snake is related to the KRW with <span>(p(r) asymp (r^2log (r))^{-1})</span>, therefore our results imply that the infinite snake conditioned to avoid the origin in four dimensions is well-defined.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073719","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

Accelerated First-Passage Dynamics in a Non-Markovian Feedback Ornstein–Uhlenbeck Process 非马尔可夫反馈Ornstein-Uhlenbeck过程的加速首通道动力学

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-13 DOI: 10.1007/s10955-025-03509-7

Francesco Coghi, Romain Duvezin, John S. Wettlaufer

{"title":"Accelerated First-Passage Dynamics in a Non-Markovian Feedback Ornstein–Uhlenbeck Process","authors":"Francesco Coghi, Romain Duvezin, John S. Wettlaufer","doi":"10.1007/s10955-025-03509-7","DOIUrl":"10.1007/s10955-025-03509-7","url":null,"abstract":"<div><p>We study the first-passage dynamics of a non-Markovian stochastic process with time-averaged feedback, which we model as a one-dimensional Ornstein–Uhlenbeck process wherein the particle drift is modified by the empirical mean of its trajectory. This process maps onto a class of self-interacting diffusions. Using weak-noise large deviation theory, we calculate the leading order asymptotics of the time-dependent distribution of the particle position, derive the most probable paths that reach the specified position at a given time and quantify their likelihood via the action functional. We compute the feedback-modified Kramers rate and its inverse, which approximates the mean first-passage time, and show that the feedback accelerates dynamics by storing finite-time fluctuations, thereby lowering the effective energy barrier and shifting the optimal first-passage time from infinite to finite. Although we identify alternative mechanisms, such as slingshot and ballistic trajectories, we find that they remain sub-optimal and hence do not accelerate the dynamics. These results show how memory feedback reshapes rare event statistics, thereby offering a mechanism to potentially control first-passage dynamics.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03509-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037535","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

A Consistent Non-Linear Fokker-Planck Model for a Gas Mixture of Polyatomic Molecules 多原子分子气体混合物的一致非线性Fokker-Planck模型

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-09 DOI: 10.1007/s10955-025-03507-9

Marlies Pirner

引用次数: 0

Bounds on Fluctuations of First Passage Times for Counting Observables in Classical and Quantum Markov Processes 经典马尔可夫过程和量子马尔可夫过程中可观测数第一遍时间涨落的界

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-08 DOI: 10.1007/s10955-025-03506-w

George Bakewell-Smith, Federico Girotti, Mădălin Guţă, Juan P. Garrahan

{"title":"Bounds on Fluctuations of First Passage Times for Counting Observables in Classical and Quantum Markov Processes","authors":"George Bakewell-Smith, Federico Girotti, Mădălin Guţă, Juan P. Garrahan","doi":"10.1007/s10955-025-03506-w","DOIUrl":"10.1007/s10955-025-03506-w","url":null,"abstract":"<div><p>We study the statistics of first passage times (FPTs) of trajectory observables in both classical and quantum Markov processes. We consider specifically the FPTs of <i>counting observables</i>, that is, the times to reach a certain threshold of a trajectory quantity which takes values in the positive integers and is non-decreasing in time. For classical continuous-time Markov chains we rigorously prove: (i) a large deviation principle (LDP) for FPTs, whose corollary is a strong law of large numbers; (ii) a concentration inequality for the FPT of the dynamical activity, which provides an upper bound to the probability of its fluctuations to all orders; and (iii) an upper bound to the probability of the tails for the FPT of an arbitrary counting observable. For quantum Markov processes we rigorously prove: (iv) the quantum version of the LDP, and subsequent strong law of large numbers, for the FPTs of generic counts of quantum jumps; (v) a concentration bound for the the FPT of total number of quantum jumps, which provides an upper bound to the probability of its fluctuations to all orders, together with a similar bound for the sub-class of quantum reset processes which requires less strict irreducibility conditions; and (vi) a tail bound for the FPT of arbitrary counts. Our results allow to extend to FPTs the so-called “inverse thermodynamic uncertainty relations” that upper bound the size of fluctuations in time-integrated quantities. We illustrate our results with simple examples.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03506-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145007809","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

Wigner Path Integral Representation of the Density of States. Monte Carlo Simulation of Plasma Media. 态密度的维格纳路径积分表示。等离子体介质的蒙特卡罗模拟。

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-06 DOI: 10.1007/s10955-025-03508-8

Vladimir Filinov, Pavel Levashov, Alexander Larkin

{"title":"Wigner Path Integral Representation of the Density of States. Monte Carlo Simulation of Plasma Media.","authors":"Vladimir Filinov, Pavel Levashov, Alexander Larkin","doi":"10.1007/s10955-025-03508-8","DOIUrl":"10.1007/s10955-025-03508-8","url":null,"abstract":"<div><p>A new phase space path integral representation of quantum density of states (DOS) was derived for a strongly coupled plasma media representing hydrogen plasma and two-component Coulomb system with uniformly distributed in space uncorrelated positive charges (“protons”) simulating a neutralizing background (“OCP”). A path integral Monte Carlo approach was used for the calculation of DOS, energy and momentum distribution functions as well as spin–resolved radial distribution functions (RDFs). The RDFs for electrons with the same spin projection revealed exchange–correlation cavities. For a two-component hydrogen plasma (TCP) the Coulomb attraction results in the appearance of high peaks on the proton–electron RDFs at small interparticle distances, while for the “OCP” the analogous RDFs demonstrate an unexpected significant drop arising due to a three–particle effect caused by the electron repulsion preventing for any two electrons to be in the vicinity of any uncorrelated charge. At negative plasma energy the “OCP” DOS is a fast-decaying function, while in hydrogen plasma at a temperature of the order of 1 <span>(textrm{Ry} = 0.5text {Ha}approx 13.6)</span> eV the DOS shows a well-pronounced peak related to the bound states. Quantum effects make momentum distribution functions non-maxwellian with a power-law high-momentum asymptotics (“quantum tails”) even under the condition of thermodynamic equilibrium.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998547","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

Subcritical regimes in Poisson Boolean percolation on Ahlfors regular spaces Ahlfors正则空间上泊松布尔渗透的次临界状态

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-06 DOI: 10.1007/s10955-025-03504-y

Yutaka Takeuchi

{"title":"Subcritical regimes in Poisson Boolean percolation on Ahlfors regular spaces","authors":"Yutaka Takeuchi","doi":"10.1007/s10955-025-03504-y","DOIUrl":"10.1007/s10955-025-03504-y","url":null,"abstract":"<div><p>We study the Poisson Boolean percolation model on Ahlfors regular metric measure spaces, extending fundamental results from the Euclidean spaces to more general geometric settings. Ahlfors regular space is a metric measure space that has a polynomial growth rate of metric balls. Our main result establishes that for s-Ahlfors regular spaces, the model exhibits a subcritical regime (no infinite clusters for small intensities) if and only if the radius distribution has a finite s-th moment, generalizing Gouéré’s result for the Euclidean spaces. We prove both directions: when an s-th moment is finite, we show that subcritical behavior exists using geometric properties of Ahlfors regular spaces, particularly the doubling property and the uniform perfectness. Conversely, when an s-th moment diverges, we demonstrate that infinite clusters occur almost surely for any positive intensity. The key technical innovation lies in handling the geometric challenges absent in Euclidean spaces, such as potentially empty annuli between concentric balls. We overcome this using uniform perfectness, which guarantees nonempty annuli under sufficient expansion, combined with doubling properties to control covering numbers. Our results apply broadly to Riemannian manifolds with nonnegative Ricci curvature, ultrametric spaces, unbounded Sierpinski gaskets, and snowflake constructions of Ahlfors regular spaces.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998549","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

Long-Time Analysis of a Pair of On-lattice and Continuous Run-and-tumble Particles with Jamming Interactions 具有干扰相互作用的一对晶格上连续滚跑粒子的长时间分析

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-06 DOI: 10.1007/s10955-025-03485-y

Arnaud Guillin, Leo Hahn, Manon Michel

{"title":"Long-Time Analysis of a Pair of On-lattice and Continuous Run-and-tumble Particles with Jamming Interactions","authors":"Arnaud Guillin, Leo Hahn, Manon Michel","doi":"10.1007/s10955-025-03485-y","DOIUrl":"10.1007/s10955-025-03485-y","url":null,"abstract":"<div><p>Run-and-Tumble Particles (RTPs) are a key model of active matter. They are characterized by alternating phases of linear travel and random direction reshuffling. By this dynamic behavior, they break time reversibility and energy conservation at the microscopic level. It leads to complex out-of-equilibrium phenomena such as collective motion, pattern formation, and motility-induced phase separation (MIPS). In this work, we study two fundamental dynamical models of a pair of RTPs with jamming interactions and provide a rigorous link between their discrete- and continuous-space descriptions. We demonstrate that as the lattice spacing vanishes, the discrete models converge to a continuous RTP model on the torus, described by a Piecewise Deterministic Markov Process (PDMP). This establishes that the invariant measures of the discrete models converge to that of the continuous model, which reveals finite mass at jamming configurations and exponential decay away from them. This indicates effective attraction, which is consistent with MIPS. Furthermore, we quantitatively explore the convergence towards the invariant measure. Such convergence study is critical for understanding and characterizing how MIPS emerges over time. Because RTP systems are non-reversible, usual methods may fail or are limited to qualitative results. Instead, we adopt a coupling approach to obtain more accurate, non-asymptotic bounds on mixing times. The findings thus provide deeper theoretical insights into the mixing times of these RTP systems, revealing the presence of both persistent and diffusive regimes.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998548","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

Entropy dynamics of the Heisenberg chain with binary bond disorder 具有二元键无序的海森堡链的熵动力学

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-09-05 DOI: 10.1007/s10955-025-03505-x

Di Han, Yan-Kui Bai, Yang Zhao

{"title":"Entropy dynamics of the Heisenberg chain with binary bond disorder","authors":"Di Han, Yan-Kui Bai, Yang Zhao","doi":"10.1007/s10955-025-03505-x","DOIUrl":"10.1007/s10955-025-03505-x","url":null,"abstract":"<div><p>In this article, we study the entropy dynamics of the Heisenberg spin chain with binary bond disorder. We first develop a new method that integrates the purification scheme and the time-evolving block decimation (TEBD) algorithm, named ancillary TEBD, to study the entropy dynamics of spin chains with binary bond disorder. Secondly, with the support of exact diagonalization (ED), we calculate the multifractal dimension of the eigenstates of the bond-disordered Heisenberg chain and the quench dynamics of the inverse participation ratio (IPR), finding that the dependence of the multifractal dimension on the strength of the disorder shows no critical behavior, ruling out the existence of the many-body localization transition in the system. Then, using the ED and the ancillary TEBD method, we study the entropy dynamics of the Heisenberg chain with binary bond disorder and ascertain that the quench dynamics of the entanglement entropy can be divided into four different stages, which are attributed to the competition of the spin interaction and the disorder. Our results propose a new mechanism for the generation of logarithmic scaling behavior of entropy dynamics in disordered systems. Finally, using the ancillary TEBD method, we numerically prove the existence of the transient Mpemba effect in the bond-disordered Heisenberg chain.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990457","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

Shock Propagation in a Driven hard-sphere Gas: Molecular Dynamics Simulations and Hydrodynamics 激波在驱动硬球气体中的传播：分子动力学模拟和流体力学

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-08-30 DOI: 10.1007/s10955-025-03503-z

Amit Kumar, R. Rajesh

引用次数: 0

Memory Effect by Coupling Between Translational and Rotational Brownian Motion in Water–Ethanol Mixtures 水-乙醇混合物中平移和旋转布朗运动耦合的记忆效应

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-08-29 DOI: 10.1007/s10955-025-03501-1

Ken Judai, Satoshi Shibuta, Kazuki Furukawa

引用次数: 0