Journal of Statistical Physics最新文献_第2页

Near-Continuum Gas Flows to Second Order in Knudsen Number with Arbitrary Surface Accommodation

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-05 DOI: 10.1007/s10955-025-03417-w

Nitay Ben-Shachar, Joseph T. Johnson, Douglas R. Brumley, Jason Nassios, John E. Sader

{"title":"Near-Continuum Gas Flows to Second Order in Knudsen Number with Arbitrary Surface Accommodation","authors":"Nitay Ben-Shachar, Joseph T. Johnson, Douglas R. Brumley, Jason Nassios, John E. Sader","doi":"10.1007/s10955-025-03417-w","DOIUrl":"10.1007/s10955-025-03417-w","url":null,"abstract":"<div>Asymptotic analyses of the Boltzmann equation for near-continuum low-Mach-number gas flows predominantly assume diffuse scattering from solid surfaces, i.e., complete surface accommodation, despite gas scattering often deviating from this idealized behavior in practice. While some results for arbitrary surface accommodation exist to second order in small Knudsen number, the full theory to this order is yet to be reported. Here, we present a matched asymptotic expansion of the linearized Boltzmann–BGK equation that generalizes existing theories to Maxwell-type boundary conditions with arbitrary accommodation at solid surfaces. This is performed to second order in small Knudsen number for smooth solid surfaces, and holds for steady and unsteady flow at oscillatory frequencies far smaller than the molecular collision frequency. In contrast to diffuse scattering, we find that the second-order Knudsen layer functions vary as (eta log ^2eta ) for incomplete but arbitrary accommodation at a curved surface, where (eta ) is the dimensionless normal coordinate. A modified refined moment method is developed to numerically handle this spatial dependency. Analytical formulas for all velocity slip and temperature jump coefficients for the Hilbert region are reported that exhibit accuracies greater than 99.9%. This resolves conflicting literature reports on the second-order velocity slip and temperature jump coefficients.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143778028","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

Statistics for the Triangle Density in ERGM and Its Mean-Field Approximation ERGM 三角形密度统计及其平均场近似值

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-05 DOI: 10.1007/s10955-025-03430-z

Elena Magnanini, Giacomo Passuello

{"title":"Statistics for the Triangle Density in ERGM and Its Mean-Field Approximation","authors":"Elena Magnanini, Giacomo Passuello","doi":"10.1007/s10955-025-03430-z","DOIUrl":"10.1007/s10955-025-03430-z","url":null,"abstract":"<div>We consider the edge-triangle model (also known as the Strauss model) and its mean-field approximation, within the region of parameters called replica symmetric regime. While our motivation stems from analyzing the asymptotic behavior of the triangle density in the edge-triangle model, a significant part of our work is devoted to studying an approximation of this observable in the mean-field setting, where explicit computations are possible. More specifically, for the first model, we prove that the triangle density concentrates with high probability in a neighborhood of its typical values. For the second model we can go further and prove, for the approximated triangle density, a standard and non-standard central limit theorem at the critical point, still not known for the edge-triangle model. Additionally, we obtain many concentration results derived via large deviations and statistical mechanics techniques. Although a rigorous comparison between these two models is still lacking, we believe that they are asymptotically equivalent in many respects. To support this conjectured behavior, we complement the analysis with simulations related to the central limit theorem for the edge-triangle model.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03430-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143778032","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

Local Interaction Information and Local Quantum Mutual Information in Multiparty Systems

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-05 DOI: 10.1007/s10955-025-03432-x

Qi Han, Lijie Gou, Shuai Wang, Rong Zhang

引用次数: 0

A Perturbative Approach to the Macroscopic Fluctuation Theory

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-04 DOI: 10.1007/s10955-025-03439-4

Thierry Bodineau, Bernard Derrida

引用次数: 0

Effective Affinity for Generic Currents in Markov Processes

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-03 DOI: 10.1007/s10955-025-03433-w

Adarsh Raghu, Izaak Neri

{"title":"Effective Affinity for Generic Currents in Markov Processes","authors":"Adarsh Raghu, Izaak Neri","doi":"10.1007/s10955-025-03433-w","DOIUrl":"10.1007/s10955-025-03433-w","url":null,"abstract":"<div>In nonequilibrium systems with uncoupled currents, the thermodynamic affinity determines the direction of currents, quantifies dissipation, and constrains current fluctuations. However, these properties of the thermodynamic affinity do not hold in complex systems with multiple coupled currents. For this reason, there has been an ongoing search in nonequilibrium thermodynamics for an affinity-like quantity, known as the effective affinity, which applies to a single current in a system with multiple coupled currents. Here, we introduce an effective affinity that applies to generic currents in time-homogeneous Markov processes. We show that the effective affinity is a single number encapsulating several dissipative and fluctuation properties of fluctuating currents: the effective affinity determines the direction of flow of the current; the effective affinity multiplied by the current is a lower bound for the rate of dissipation; for systems with uncoupled currents the effective affinity equals the standard thermodynamic affinity; and the effective affinity constrains negative fluctuations of currents, namely, it is the exponential decay constant of the distribution of current infima. We derive the above properties with large deviation theory and martingale theory, and one particular interesting finding is a class of martingales associated with generic currents. Furthermore, we make a study of the relation between effective affinities and stalling forces in a biomechanical model of motor proteins, and we find that both quantities are approximately equal when this particular model is thermodynamically consistent. This brings interesting perspectives on the use of stalling forces for the estimation of dissipation.</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03433-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769759","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

What Does Bose–Einstein Condensation Look Like When the Noise is Nonthermal?

IF 1.3 3区物理与天体物理

Journal of Statistical Physics Pub Date : 2025-04-03 DOI: 10.1007/s10955-025-03440-x

Martin Bier

引用次数: 0

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