Journal of Statistical Physics最新文献

Random Walk on a Random Rough Surface: Conservation Law, Dangerous Irrelevant Operator and Non-conventional Renormalization Group 随机粗糙表面上的随机行走：守恒律、危险无关算子和非常规重整化群

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-05-08 DOI: 10.1007/s10955-026-03598-y

N V Antonov, P I Kakin, A Yu Luchin

{"title":"Random Walk on a Random Rough Surface: Conservation Law, Dangerous Irrelevant Operator and Non-conventional Renormalization Group","authors":"N V Antonov, P I Kakin, A Yu Luchin","doi":"10.1007/s10955-026-03598-y","DOIUrl":"10.1007/s10955-026-03598-y","url":null,"abstract":"<div>The long-time, large-distance behaviour of a randomly walking particle on a random rough surface in a uniform gravitational field is studied by means of the field-theoretic renormalization group (RG). The random walk is governed by the Fokker–Planck equation for the particle’s probability distribution function, while the surface is described by the conserved Kardar–Parisi–Zhang (CKPZ) model due to Sun, Guo and Grant [Phys. Rev. A 40 6763 (1989)]. The corresponding field-theoretic model is logarithmic at (d = 2) and is shown to be multiplicatively renormalizable. The standard RG analysis based on the minimal subtraction scheme (where the ultraviolet divergences have the form of the poles in (varepsilon =2-d)) reveals no infrared (IR) attractive fixed points. However, it shows that a certain IR irrelevant (in the sense of Wilson) term (composite operator) in the corresponding De Dominicis–Janssen action functional, necessarily omitted in that scheme, is in fact inevitably needed to exhaustively describe the IR behaviour of the relevant Green’s functions. Thus, we use a non-conventional formulation of the renormalization scheme in fixed d dimensions, in which that operator is included from the very beginning into the action functional and is treated on the equal footing with the other terms. That scheme reveals at least one nontrivial IR attractive fixed point, elusive in the standard RG approach. The resulting asymptotic scaling expressions appear rather cumbersome, as they simultaneously involve two different critical dimensions of time/frequency (so-called weak scaling) and describe several different asymptotic sub-domains of the whole IR asymptotic region.\u0000</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 5","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147830008","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

Skew-Normal Diffusions Skew-Normal扩散

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-05-07 DOI: 10.1007/s10955-026-03616-z

Max-Olivier Hongler, Daniele Rinaldo

{"title":"Skew-Normal Diffusions","authors":"Max-Olivier Hongler, Daniele Rinaldo","doi":"10.1007/s10955-026-03616-z","DOIUrl":"10.1007/s10955-026-03616-z","url":null,"abstract":"<div>We construct a class of stochastic differential equations driven by white Gaussian noise sources whose solutions can be drawn from skewed Gaussian probability laws, here referred to as skew-Normal diffusion (SKN) processes. The non-Gaussian nature of such processes results from introducing a nonlinear and time-inhomogeneous drift constructed via ad-hoc changes of probability measure (Doob’s h-transform). SKN processes fit naturally within the statistical mechanics of trajectories as they are the driven processes associated with conditioning a Brownian motion on a terminal restriction to a subset of its domain. A SKN process can be alternatively constructed as a truncated marginal of a bi-dimensional diffusion, and can be interpreted as a dynamic censoring model. While explicitly non-Gaussian, SKN processes share several properties of Gaussian processes, in particular the invariance under linear transformations. This result allows us to discuss analytically the characteristics of this novel class of stochastic dynamics. As an illustration, we show how linear noisy monitoring of SKN processes yields a fully solvable, finite-dimensional and non-linear stochastic filter which naturally extends the Kalman-Bucy Gaussian case.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 5","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03616-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829759","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

Asymptotics of the Real Eigenvalue Distribution for the Real Spherical Ensemble 实球系综实特征值分布的渐近性

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-05-07 DOI: 10.1007/s10955-026-03620-3

Peter J. Forrester

{"title":"Asymptotics of the Real Eigenvalue Distribution for the Real Spherical Ensemble","authors":"Peter J. Forrester","doi":"10.1007/s10955-026-03620-3","DOIUrl":"10.1007/s10955-026-03620-3","url":null,"abstract":"<div>The real Ginibre spherical ensemble consists of random matrices of the form (A B^{-1}), where A, B are independent standard real Gaussian (N times N) matrices. The expected number of real eigenvalues is known to be of order (sqrt{N}). We consider the probability (p_{N.M}^textrm{r}) that there are M real eigenvalues in various regimes. These are when M is proportional to N (large deviations), when M is proportional to (sqrt{N}) (intermediate deviations), and when M is in the neighbourhood of the mean (local central limit theorem). This is done using a Coulomb gas formalism in the large deviations case, and by determining the leading asymptotic form of the generating function for the probabilities in the case of intermediate deviations (the local central limit regime was known from earlier work). Moreover a matching of the left tail asymptotics of the intermediate deviation regime with that of the right tail of the large deviation regime is exhibited, as is a matching of the right tail intermediate deviation regime with the leading order form of the probabilities in the local central limit regime. We also give the leading asymptotic form of (p_{N,0}^textrm{r}), i.e. the probability of no real eigenvalues.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 5","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03620-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829760","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

On One-Dimensional Cluster-cluster Model 关于一维簇-簇模型

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-04-28 DOI: 10.1007/s10955-026-03615-0

Noam Berger, Eviatar B. Procaccia, Daniel Sharon

引用次数: 0

Stationary Boltzmann Equation for Polyatomic Gases in a slab 平板中多原子气体的稳态玻尔兹曼方程

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-04-28 DOI: 10.1007/s10955-026-03605-2

Ki Nam Hong, Marwa Shahine, Seok-Bae Yun

引用次数: 0

An Exactly Solvable Asymmetric Simple Inclusion Process 一个精确可解的非对称简单包含过程

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-04-21 DOI: 10.1007/s10955-026-03607-0

Arvind Ayyer, Samarth Misra

{"title":"An Exactly Solvable Asymmetric Simple Inclusion Process","authors":"Arvind Ayyer, Samarth Misra","doi":"10.1007/s10955-026-03607-0","DOIUrl":"10.1007/s10955-026-03607-0","url":null,"abstract":"<div>We study a generalization of the asymmetric simple inclusion process (ASIP) on a periodic one-dimensional lattice, where the integers in the particles rates are deformed to their t-analogues. We call this the ((q, t, theta )) ASIP, where q is the asymmetric hopping parameter and (theta ) is the diffusion parameter. We show that this process is a misanthrope process, and consequently the steady state is independent of q. We compute the steady state, the one-point correlation and the current in the steady state. In particular, we show that the single-site occupation probabilities follow a beta-binomial distribution at (t=1). We compute the two-dimensional phase diagram in various regimes of the parameters ((t, theta )) and perform simulations to justify the results. We also show that a modified form of the steady state weights at (t ne 1) satisfy curious palindromic and antipalindromic symmetries. Lastly, we define an enriched process at (t=1) and (theta ) an integer which projects onto the ((q, 1, theta )) ASIP and whose steady state is uniform, which may be of independent interest.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 5","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737986","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

Hydrodynamic Limit and Large Deviations for Run-And-Tumble Particles with Mean-Field Switching Rates 具有平均场转换率的滚落颗粒的流体动力极限和大偏差

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-04-18 DOI: 10.1007/s10955-026-03609-y

Elena Pulvirenti, Frank Redig, Hidde van Wiechen

引用次数: 0

The Continuum Limit of Some Products of Random Matrices Associated with Renewing Flows 与更新流相关的一些随机矩阵乘积的连续极限

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-04-15 DOI: 10.1007/s10955-026-03610-5

Yves Tourigny

{"title":"The Continuum Limit of Some Products of Random Matrices Associated with Renewing Flows","authors":"Yves Tourigny","doi":"10.1007/s10955-026-03610-5","DOIUrl":"10.1007/s10955-026-03610-5","url":null,"abstract":"<div>We consider the continuum limit of some products of random matrices in (text {SL}(d,{mathbb {R}})) that arise as discretisations of incompressible renewing flows— that is, of flows corresponding to a divergence-free velocity field that takes independent, identically-distributed values in successive time intervals of duration proportional to (tau ). The statistical properties of the product are encoded in its generalised Lyapunov exponent whose computation reduces to finding the leading eigenvalue of a certain transfer operator. In the continuum limit obtained by neglecting the terms of order (o(tau ^2)), the transfer operator becomes a partial differential operator and, for a certain type of disorder which we call “symmetric”, some calculations are feasible. For (d=2), we compute the growth rate of the product in terms of complete elliptic integrals. By letting the elliptic modulus vary, we obtain a spectral problem, corresponding to a modulus-dependent random renewing flow, which may be viewed as a perturbation of the spectral problem for the angular Laplacian. In this way, we deduce expansions for the generalised Lyapunov exponent in ascending powers of the modulus. These expansions generalise to the case (d ge 2), and we compute the first few terms explicitly for (d in {2,3}).</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03610-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737466","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

Rectangular Gilbert Tessellation 矩形吉尔伯特镶嵌

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-04-13 DOI: 10.1007/s10955-026-03603-4

Emily Ewers, Tatyana S. Turova

{"title":"Rectangular Gilbert Tessellation","authors":"Emily Ewers, Tatyana S. Turova","doi":"10.1007/s10955-026-03603-4","DOIUrl":"10.1007/s10955-026-03603-4","url":null,"abstract":"<div>A random planar quadrangulation process is introduced as an approximation for certain cellular automata in terms of random growth of lines, called rays, from a given set of points. This model turns out to be a particular (rectangular) case of the well-known Gilbert tessellation, which originally models the growth of needle-shaped crystals from the initial random points with a Poisson distribution in a plane. From each point the rays grow on both sides of vertical and horizontal directions until they meet another ray. This process results in a rectangular tessellation of the plane. The central and still open question is the distribution of the length of the line segments in this tessellation. We derive exponential bounds for the tail of this distribution. The correlations between the segment lengths are proved to decay exponentially with the distance between their initial points. Furthermore, the sign of the correlation is investigated for some instructive examples. In the case when the initial set of points is confined in a box ([0,N]^2), it is proved that the average number of rays reaching the border of the box has a linear order in N.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-026-03603-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737616","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

Compressible Navier-Stokes System with Slip Boundary from the Boltzmann Equation with Reflection Boundary: Derivations and Justifications 带反射边界的Boltzmann方程的带滑移边界的可压缩Navier-Stokes系统：推导和证明

IF 1.2 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2026-04-13 DOI: 10.1007/s10955-026-03606-1

Ning Jiang, Yulong Wu

{"title":"Compressible Navier-Stokes System with Slip Boundary from the Boltzmann Equation with Reflection Boundary: Derivations and Justifications","authors":"Ning Jiang, Yulong Wu","doi":"10.1007/s10955-026-03606-1","DOIUrl":"10.1007/s10955-026-03606-1","url":null,"abstract":"<div>This is the first in a series of papers connecting the boundary conditions for the compressible Navier-Stokes system from the Boltzmann equations with the Maxwell reflection boundary. The slip boundary conditions are formally derived from the Boltzmann equation with both specular and almost specular reflection boundary conditions. That is, the accommodation coefficient (alpha _varepsilon =O(varepsilon ^beta )) with (beta >0) or (alpha _varepsilon =0). Here, the small number (varepsilon >0) denotes the Knudsen number. The systematic formal analysis is based on the Chapman-Enskog expansion and the analysis of the Knudsen layer. In particular, for the first time, we employ the appropriate ansatz for the general (beta >0). This completes the program started in [2]. In the second part, the compressible Navier-Stokes-Fourier approximation for the Boltzmann equation with specular reflection in general bounded domains is rigorously justified. The uniform regularity for the compressible Navier-Stokes system with the derived boundary conditions is investigated. For the remainder equation, the (L^2text{- }L^6text{- }L^infty ) framework is employed to obtain uniform estimates in (varepsilon ).</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"193 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737615","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