{"title":"Weighted Sequence Entropy and Maximal Pattern Entropy","authors":"Xiaoxiao Nie, Yu Huang","doi":"10.1007/s10955-025-03445-6","DOIUrl":"10.1007/s10955-025-03445-6","url":null,"abstract":"<div><p>As an extension of weighted entropy, the weighted topological sequence entropy and the weighted measure-theoretic sequence entropy are defined. A variational principle of relating the two weighted sequence entropies is established. The weighted maximal pattern entropy is also defined. It is shown that for homeomorphism dynamical systems the weighted maximal pattern entropy is equal to the supremum of the weighted sequence entropies over all strictly increasing sequences in integers both in topological and measure-theoretic settings.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856671","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}
Evan Habbershaw, Cory D. Hauck, Jingwei Hu, Jeffrey R. Haack
{"title":"A Nonlinear, Conservative, Entropic Fokker–Planck Model for Multi-species Collisions","authors":"Evan Habbershaw, Cory D. Hauck, Jingwei Hu, Jeffrey R. Haack","doi":"10.1007/s10955-025-03436-7","DOIUrl":"10.1007/s10955-025-03436-7","url":null,"abstract":"<div><p>A multi-species Fokker–Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumptions on these parameters, the model satisfies appropriate conservation laws, dissipates an entropy, and satisfies an <span>(mathcal {H})</span>-Theorem. In addition, the model parameters provide the additional flexibility that is used to match simultaneously momentum and temperature relaxation formulas derived from the Boltzmann collision operator for a binary mixture with Coulomb potential. A numerical method for solving the resulting space-homogeneous kinetic equation is presented and two examples are provided to demonstrate the relaxation of species bulk velocities and temperatures to their equilibrium values.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143840293","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}
{"title":"The Intertwining Property for Laguerre Processes with a Fixed Parameter","authors":"Alexander I. Bufetov, Yosuke Kawamoto","doi":"10.1007/s10955-025-03441-w","DOIUrl":"10.1007/s10955-025-03441-w","url":null,"abstract":"<div><p>We investigate the intertwining of Laguerre processes of parameter <span>(alpha )</span> in different dimensions. We introduce a Feller kernel that depends on <span>(alpha )</span> and intertwines the <span>(alpha )</span>-Laguerre process in <span>(N+1)</span> dimensions and that in <i>N</i> dimensions. When <span>(alpha )</span> is a non-negative integer, the new kernel is interpreted in terms of the conditional distribution of the squared singular values: if the singular values of a unitarily invariant random matrix of order <span>((N+alpha +1) times (N+1))</span> are fixed, then the those of its <span>((N+alpha ) times N )</span> truncation matrix are given by the new kernel.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03441-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143840359","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}
Gregory Wimsatt, Alexander B. Boyd, James P. Crutchfield
{"title":"Trajectory Class Fluctuation Theorem","authors":"Gregory Wimsatt, Alexander B. Boyd, James P. Crutchfield","doi":"10.1007/s10955-025-03422-z","DOIUrl":"10.1007/s10955-025-03422-z","url":null,"abstract":"<div><p>The Trajectory Class Fluctuation Theorem (TCFT) presents equalities between thermodynamic quantities, such as work costs and free energy changes, and the probabilities of classes of system-state trajectories in equilibrium-steady-state nonequilibrium processes. Conceptually, the TCFT unifies a host of previously-established fluctuation theorems, interpolating from Crooks’ Detailed Fluctuation Theorem (single trajectories) to Jarzynski’s Equality (full trajectory ensembles). Leveraging coarse-grained information about how systems evolve, the TCFT provides a substantial strengthening of the Second Law of Thermodynamics—that, in point of fact, can be a rather weak bound between requisite work and free energy change. It also can be used to improve empirical estimates of free energies, a task known to be statistically challenging, by diverting attention from rare, work-dominant trajectories in convenient but highly nonequilibrium processes. The TCFT also reveals new forms of free energy useful for bounding work costs when computing with systems whose microscopic details are difficult to ascertain—forms that can be solved analytically and practically estimated. For engineered systems more generally, it connects the role of system state trajectories in system functionality to the particular work costs required to evolve those trajectories. Previously, the TCFT was used to connect the microscopic dynamics of experimentally-implemented Josephson-junction information engines with the mesoscopic descriptions of how information was processed. The development here justifies that empirical analysis, explicating its mathematical foundations.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03422-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822014","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}
{"title":"The Steady Relativistic Boltzmann Equation in Half-Space","authors":"Jing Ouyang, Changguo Xiao","doi":"10.1007/s10955-025-03421-0","DOIUrl":"10.1007/s10955-025-03421-0","url":null,"abstract":"<div><p>We are concerned with the boundary layer problem for steady relativistic Boltzmann equation in half-space. By introducing some special test functions and choosing suitable estimate orders, we derive a crucial bound on the macroscopic part <span>(textbf{P}f)</span>. Under certain admissible conditions and assuming exponential decay for the source term, we demonstrate the existence, continuity and the exponential spacial decay of a boundary layer solution for both linear and nonlinear steady relativistic Boltzmann equations with hard potential collision kernel. The uniqueness is also established under specific constraint conditions.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818311","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}
{"title":"Transient Subtraction: A Control Variate Method for Computing Transport Coefficients","authors":"Renato Spacek, Pierre Monmarché, Gabriel Stoltz","doi":"10.1007/s10955-025-03424-x","DOIUrl":"10.1007/s10955-025-03424-x","url":null,"abstract":"<div><p>In molecular dynamics, transport coefficients measure the sensitivity of the invariant probability measure of the stochastic dynamics at hand with respect to some perturbation. They are typically computed using either the linear response of nonequilibrium dynamics, or the Green–Kubo formula. The estimators for both approaches have large variances, which motivates the study of variance reduction techniques for computing transport coefficients. We present an alternative approach, called the <i>transient subtraction technique</i> (inspired by early work by Ciccotti and Jaccucci in Phys Rev Lett 35(12):789–792, 1975, https://doi.org/10.1103/PhysRevLett.35.789), which amounts to simulating a transient dynamics started off equilibrium and relaxing towards the equilibrium state, from which we subtract a sensibly coupled equilibrium trajectory, resulting in an estimator with smaller variance. We present the mathematical formulation of the transient subtraction technique, give error estimates on the bias and variance of the associated estimator, and demonstrate the relevance of the method through numerical illustrations for various systems.</p></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":"143778035","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}
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><p>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 <span>(eta log ^2eta )</span> for incomplete but arbitrary accommodation at a curved surface, where <span>(eta )</span> 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.</p></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}
{"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><p>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.</p></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}
{"title":"Local Interaction Information and Local Quantum Mutual Information in Multiparty Systems","authors":"Qi Han, Lijie Gou, Shuai Wang, Rong Zhang","doi":"10.1007/s10955-025-03432-x","DOIUrl":"10.1007/s10955-025-03432-x","url":null,"abstract":"<div><p>Quantum correlation in bipartite systems has been extensively studied, and in recent years, people have been interested in the study of multipartite systems. Studying quantum correlations in local multipartite systems has also become a hot topic. In this paper, we define the local bipartite conditional mutual information, and further give the definitions of local multipartite interaction (common) information and local genuinely multipartite quantum mutual information. Then, we mainly study some properties and special relations of local genuinely multipartite quantum mutual information satisfaction. A special property that is different from the nonlocal case is that the local genuinely multipartite quantum mutual information may change under the local unitary operation. This is caused by the fact that the unitary operation may change the position of the particles.</p></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":"143778034","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}
{"title":"A Perturbative Approach to the Macroscopic Fluctuation Theory","authors":"Thierry Bodineau, Bernard Derrida","doi":"10.1007/s10955-025-03439-4","DOIUrl":"10.1007/s10955-025-03439-4","url":null,"abstract":"<div><p>In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed perturbatively by using the macroscopic fluctuation theory. This applies to general domains in <span>(mathbb {R}^d)</span> and diffusive dynamics with arbitrary transport coefficients. As a consequence, one can analyse the correlations at the first non trivial order in the forcing and show that, in general, all the long range correlation functions are not equal to 0, in contrast to the exactly solvable models previously known.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769717","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}