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Honeycomb-lattice monomer-dimer mixtures 蜂窝状晶格单体-二聚体混合物
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-25 DOI: 10.1007/s10955-025-03535-5
Sanghyeok Chung, Hyoungjun Kim, Seungeun Lee, Suinne Lee, Seungsang Oh
{"title":"Honeycomb-lattice monomer-dimer mixtures","authors":"Sanghyeok Chung,&nbsp;Hyoungjun Kim,&nbsp;Seungeun Lee,&nbsp;Suinne Lee,&nbsp;Seungsang Oh","doi":"10.1007/s10955-025-03535-5","DOIUrl":"10.1007/s10955-025-03535-5","url":null,"abstract":"<div><p>Originally proposed to model the adsorption of diatomic molecules on crystal surfaces, the monomer-dimer model has since found extensive applications in statistical mechanics and combinatorics. In this study, we examine mixtures of monomers and dimers on planar honeycomb lattices, focusing on the derivation of a generating function that enumerates all possible configurations as a function of monomer activity. We highlight the relevance of the Hosoya index in this context and introduce an expression for the matching polynomial specific to honeycomb structures. Furthermore, we investigate lozenge tilings of semiregular hexagons, which correspond bijectively to dimer coverings of honeycomb graphs. In particular, we provide a detailed combinatorial analysis of symmetric lozenge tilings of a hexagon with side lengths (<i>m</i>, <i>m</i>, <i>n</i>, <i>m</i>, <i>m</i>, <i>n</i>).</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145352305","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
Jones Polynomials and their Zeros for a Family of Knots and Links 一类结点和连杆的琼斯多项式及其零点
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-25 DOI: 10.1007/s10955-025-03531-9
Yue Chen, Robert Shrock
{"title":"Jones Polynomials and their Zeros for a Family of Knots and Links","authors":"Yue Chen,&nbsp;Robert Shrock","doi":"10.1007/s10955-025-03531-9","DOIUrl":"10.1007/s10955-025-03531-9","url":null,"abstract":"<div><p>We calculate Jones polynomials <span>(V(H_r,t))</span> for a family of alternating knots and links <span>(H_r)</span> with arbitrarily many crossings <i>r</i>, by computing the Tutte polynomials <span>(T(G_+(H_r),x,y))</span> for the associated graphs <span>(G_+(H_r))</span> and evaluating these with <span>(x=-t)</span> and <span>(y=-1/t)</span>. Our method enables us to circumvent the generic feature that the computational complexity of <span>(V(L_r,t))</span> for a knot or link <span>(L_r)</span> for generic <i>t</i> grows exponentially rapidly with <i>r</i>. We also study the accumulation set of the zeros of these polynomials in the limit of infinitely many crossings, <span>(r rightarrow infty )</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145352387","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
Branching with selection and mutation II: Mutant fitness of Gumbel type 分枝选择与突变II：甘贝尔型的突变适合度
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-25 DOI: 10.1007/s10955-025-03533-7
Su-Chan Park, Joachim Krug, Peter Mörters
{"title":"Branching with selection and mutation II: Mutant fitness of Gumbel type","authors":"Su-Chan Park,&nbsp;Joachim Krug,&nbsp;Peter Mörters","doi":"10.1007/s10955-025-03533-7","DOIUrl":"10.1007/s10955-025-03533-7","url":null,"abstract":"<div><p>We study a model of a branching process subject to <i>selection</i>, modeled by giving each family an individual fitness acting as a branching rate, and <i>mutation</i>, modeled by resampling the fitness of a proportion of offspring in each generation. For two large classes of fitness distributions of Gumbel type we determine the growth of the population, almost surely on survival. We then study the empirical fitness distribution in a simplified model, which is numerically indistinguishable from the original model, and show the emergence of a Gaussian travelling wave.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03533-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145406105","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
Time reversal of Reflected Brownian Motion with Poissonian Resetting 带泊松重置的反射布朗运动的时间反转
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-22 DOI: 10.1007/s10955-025-03527-5
Fausto Colantoni, Mirko D’Ovidio, Gianni Pagnini
{"title":"Time reversal of Reflected Brownian Motion with Poissonian Resetting","authors":"Fausto Colantoni,&nbsp;Mirko D’Ovidio,&nbsp;Gianni Pagnini","doi":"10.1007/s10955-025-03527-5","DOIUrl":"10.1007/s10955-025-03527-5","url":null,"abstract":"<div><p>In this paper, we study reflecting Brownian motion with Poissonian resetting. After providing a probabilistic description of the phenomenon using jump diffusions and semigroups, we analyze the time-reversed process starting from the stationary measure. We prove that the time-reversed process is a Brownian motion with a negative drift and non-local boundary conditions at zero. Moreover, we further study the time-reversed process between two consecutive resetting points and show that, within this time window, it behaves as the same reflecting Brownian motion with a negative drift, where both the jump sizes and the time spent at zero coincide with those of the process obtained under the stationary measure. We characterize the dynamics of both processes, their local times, and finally investigate elliptic problems on positive half-spaces, showing that the two processes leave the same traces at the boundary.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03527-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145352852","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
Irreversibility as Divergence from Equilibrium 不可逆性作为偏离均衡
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-21 DOI: 10.1007/s10955-025-03528-4
David Andrieux
{"title":"Irreversibility as Divergence from Equilibrium","authors":"David Andrieux","doi":"10.1007/s10955-025-03528-4","DOIUrl":"10.1007/s10955-025-03528-4","url":null,"abstract":"<div><p>The entropy production is commonly interpreted as measuring the distance from equilibrium. However, this explanation lacks a rigorous description due to the absence of a natural equilibrium measure. The present analysis formalizes this interpretation by expressing the entropy production of a Markov system as a divergence with respect to particular equilibrium dynamics. These equilibrium dynamics correspond to the closest reversible systems in the information-theoretic sense. This result yields novel links between nonequilibrium thermodynamics and information geometry.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145352822","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
Correlations in Uniform Spanning Trees: a Fermionic Approach 一致生成树中的相关性：费米子方法
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-18 DOI: 10.1007/s10955-025-03510-0
Alan Rapoport
{"title":"Correlations in Uniform Spanning Trees: a Fermionic Approach","authors":"Alan Rapoport","doi":"10.1007/s10955-025-03510-0","DOIUrl":"10.1007/s10955-025-03510-0","url":null,"abstract":"<div><p>In the present paper we establish a clear correspondence between probabilities of certain edges belonging to a realization of the <i>uniform spanning tree</i> (UST), and the states of a <i>fermionic Gaussian free field</i>. Namely, we express the probabilities of given edges belonging or not to the UST in terms of fermionic Gaussian expectations. This allows us to explicitly calculate joint probability mass functions of the degree of the UST on a general finite graph, as well as obtain their scaling limits for certain regular lattices.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 11","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03510-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316251","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
Statistical Estimates for 2D stochastic Navier-Stokes Equations 二维随机Navier-Stokes方程的统计估计
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-12 DOI: 10.1007/s10955-025-03526-6
Anuj Kumar, Ali Pakzad
{"title":"Statistical Estimates for 2D stochastic Navier-Stokes Equations","authors":"Anuj Kumar,&nbsp;Ali Pakzad","doi":"10.1007/s10955-025-03526-6","DOIUrl":"10.1007/s10955-025-03526-6","url":null,"abstract":"<div><p>The statistical features of homogeneous, isotropic, two-dimensional stochastic turbulence are discussed. We derive some rigorous bounds for the mean value of the bulk energy dissipation rate <span>(varepsilon )</span> and enstrophy dissipation rates <span>(chi )</span> for 2D flows sustained by a variety of stochastic driving forces. We show that </p><div><div><span>$$ varepsilon rightarrow 0 hspace{0.5cm}text{ and } hspace{0.5cm} chi lesssim mathcal {O}(1)$$</span></div></div><p>in the inviscid limit, consistent with the dual-cascade in 2D turbulence.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316084","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
Correction: Homoenergetic Solutions for the Rayleigh-Boltzmann Equation: Existence of a Stationary non-equilibrium Solution 修正：瑞利-玻尔兹曼方程的同能解：存在一个平稳的非平衡解
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-10 DOI: 10.1007/s10955-025-03519-5
Nicola Miele, Alessia Nota, Juan J. L. Velázquez
{"title":"Correction: Homoenergetic Solutions for the Rayleigh-Boltzmann Equation: Existence of a Stationary non-equilibrium Solution","authors":"Nicola Miele,&nbsp;Alessia Nota,&nbsp;Juan J. L. Velázquez","doi":"10.1007/s10955-025-03519-5","DOIUrl":"10.1007/s10955-025-03519-5","url":null,"abstract":"","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03519-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256511","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
Existence of smooth solutions to the Landau equation with hard potentials and irregular initial data 具有硬势和不规则初始数据的朗道方程光滑解的存在性
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-09 DOI: 10.1007/s10955-025-03525-7
Stanley Snelson, Shelly Ann Taylor
{"title":"Existence of smooth solutions to the Landau equation with hard potentials and irregular initial data","authors":"Stanley Snelson,&nbsp;Shelly Ann Taylor","doi":"10.1007/s10955-025-03525-7","DOIUrl":"10.1007/s10955-025-03525-7","url":null,"abstract":"<div><p>This paper addresses large-data local existence and uniqueness of classical solutions to the inhomogeneous Landau equation in the hard potentials case (including Maxwell molecules). Solutions have previously been constructed by Chaturvedi [SIAM J. Math. Anal., 55(5), 5345–5385, 2023] for initial data in an exponentially-weighted <span>(H^{10})</span> space, but it is not a priori clear whether these solutions have more regularity than the initial data. We improve Chaturvedi’s existence result in two ways: our solutions are <span>(C^infty )</span> for positive times, and we allow initial data in a sub-exponentially-weighted <span>(L^infty )</span> space, at the cost of requiring a mild positivity condition at time zero. To prove uniqueness, we require stronger assumptions on the initial data: Hölder continuity and the absence of vacuum regions. These are the same assumptions that are required for uniqueness in prior work on the soft potentials case. Along the way to proving existence and uniqueness, we establish some useful results that were previously only known in the case of soft potentials, including spreading of positivity and propagation of Hölder continuity. Many of the proof strategies from the soft potentials case do not apply here because of the more severe loss of velocity moments.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256450","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
Wave like behavior in a column of ants. Mathematical modeling 一群蚂蚁的波动行为。数学建模
IF 1.2 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2025-10-06 DOI: 10.1007/s10955-025-03521-x
Guillermo H. Goldsztein, Caleb Anderson, Alberto Fernandez-Nieves
{"title":"Wave like behavior in a column of ants. Mathematical modeling","authors":"Guillermo H. Goldsztein,&nbsp;Caleb Anderson,&nbsp;Alberto Fernandez-Nieves","doi":"10.1007/s10955-025-03521-x","DOIUrl":"10.1007/s10955-025-03521-x","url":null,"abstract":"<div><p>In recent experiments, ants were constrained to a two-dimensional rectangular domain by enclosing them between two flat transparent surfaces and their dynamic behavior was studied. The large sides of the domain were in the vertical direction and thus, gravity affected the dynamics of the ants. The experiments showed that the collective dynamics of the ants displayed wave-like behavior. In this article, we develop and analyze a mathematical model of the mentioned experiments. Our work contributes to the understanding of the dynamics of active matter and its mathematical modeling.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 10","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-025-03521-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256476","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
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