Journal of Statistical Physics最新文献

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Mean Field Limits of a Class of Conservative Systems with Position-Dependent Transition Rates 一类保守系统的平均场极限与位置相关的转换率
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-11-22 DOI: 10.1007/s10955-024-03372-y
Xiaofeng Xue
{"title":"Mean Field Limits of a Class of Conservative Systems with Position-Dependent Transition Rates","authors":"Xiaofeng Xue","doi":"10.1007/s10955-024-03372-y","DOIUrl":"10.1007/s10955-024-03372-y","url":null,"abstract":"<div><p>In this paper, we are concerned with a class of conservative systems including asymmetric exclusion processes and zero-range processes as examples, where some particles are initially placed on <i>N</i> positions. A particle jumps from a position to another at a rate depending on the coordinates of these two positions and the number of particles on these two positions. We show that the hydrodynamic limit of our model is driven by a nonlinear function-valued ordinary differential equation which is consistent with a mean field analysis. Furthermore, in the case where the number of particles on all positions are bounded by <span>(mathcal {K}&lt;+infty )</span>, we show that the fluctuation of our model is driven by a generalized Ornstein–Uhlenbeck process. A crucial step in the proofs of our main results is to show that the number of particles on different positions are approximately independent by utilizing a graphical method.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691927","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
Dynamical Transition of Quantum Scrambling in a Non-Hermitian Floquet Synthetic System 非ermitian Floquet 合成系统中的量子争用动态转变
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-11-21 DOI: 10.1007/s10955-024-03368-8
Liang Huo, Han Ke, Wen-Lei Zhao
{"title":"Dynamical Transition of Quantum Scrambling in a Non-Hermitian Floquet Synthetic System","authors":"Liang Huo,&nbsp;Han Ke,&nbsp;Wen-Lei Zhao","doi":"10.1007/s10955-024-03368-8","DOIUrl":"10.1007/s10955-024-03368-8","url":null,"abstract":"<div><p>We investigate the dynamics of quantum scrambling, characterized by the out-of-time ordered correlators (OTOCs), in a non-Hermitian quantum kicked rotor subjected to quasi-periodical modulation in kicking potential. Quasi-periodic modulation with incommensurate frequencies creates a high-dimensional synthetic space, where two different phases of quantum scrambling emerge: the freezing phase characterized by the rapid increase of OTOCs towards saturation, and the chaotic scrambling phase featured by the linear growth of OTOCs with time. We find the dynamical transition from the freezing phase to the chaotic scrambling phase, which is assisted by increasing the real part of the kicking potential along with a zero value of its imaginary part. The opposite transition occurs with the increase in the imaginary part of the kicking potential, demonstrating the suppression of quantum scrambling by non-Hermiticity. The underlying mechanism is uncovered by the extension of the Floquet theory. Possible applications in the field of quantum information are discussed.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679776","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
Maxentropy Completion and Properties of Some Partially Defined Stationary Markov Chains 某些部分定义的固定马尔可夫链的最大熵完备性及其特性
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-11-21 DOI: 10.1007/s10955-024-03369-7
Pierre Collet, Servet Martínez
{"title":"Maxentropy Completion and Properties of Some Partially Defined Stationary Markov Chains","authors":"Pierre Collet,&nbsp;Servet Martínez","doi":"10.1007/s10955-024-03369-7","DOIUrl":"10.1007/s10955-024-03369-7","url":null,"abstract":"<div><p>We consider a stationary Markovian evolution with values on a finite disjointly partitioned set space <span>(Isqcup mathcal{E})</span>. The evolution is visible (in the sense of knowing the transition probabilities) on the states in <i>I</i> but not for the states in <span>(mathcal{E})</span>. One only knows some partial information on the transition probabilities on <span>(mathcal{E})</span>, the input and output transition probabilities and some constraints of the transition probabilities on <span>(mathcal{E})</span>. Under some conditions we supply the transition probabilities on <span>(mathcal{E})</span> that satisfies the maximum entropy principle.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679775","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
Hidden Temperature in the KMP Model KMP 模型中隐藏的温度
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-11-12 DOI: 10.1007/s10955-024-03363-z
Anna de Masi, Pablo A. Ferrari, Davide Gabrielli
{"title":"Hidden Temperature in the KMP Model","authors":"Anna de Masi,&nbsp;Pablo A. Ferrari,&nbsp;Davide Gabrielli","doi":"10.1007/s10955-024-03363-z","DOIUrl":"10.1007/s10955-024-03363-z","url":null,"abstract":"<div><p>In the Kipnis Marchioro Presutti model a positive energy <span>(zeta _i)</span> is associated with each vertex <i>i</i> of a finite graph with a boundary. When a Poisson clock rings at an edge <i>ij</i> with energies <span>(zeta _i,zeta _j)</span>, those values are substituted by <span>(U(zeta _i+zeta _j))</span> and <span>((1-U)(zeta _i+zeta _j))</span>, respectively, where <i>U</i> is a uniform random variable in (0, 1). A value <span>(T_jge 0)</span> is fixed at each boundary vertex <i>j</i>. The dynamics is defined in such way that the resulting Markov process <span>(zeta (t))</span>, satisfies that <span>(zeta _j(t))</span> is exponential with mean <span>(T_j)</span>, for each boundary vertex <i>j</i>, for all <i>t</i>. We show that the invariant measure is the distribution of a vector <span>(zeta )</span> with coordinates <span>(zeta _i=T_iX_i)</span>, where <span>(X_i)</span> are iid exponential(1) random variables, the law of <i>T</i> is the invariant measure for an opinion random averaging/gossip model with the same boundary conditions of <span>(zeta )</span>, and the vectors <i>X</i> and <i>T</i> are independent. The result confirms a conjecture based on the large deviations of the model. When the graph is one-dimensional, we bound the correlations of the invariant measure and perform the hydrostatic limit. We show that the empirical measure of a configuration chosen with the invariant measure converges to the linear interpolation of the boundary values.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142600628","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
Bad Local Minima Exist in the Stochastic Block Model 随机区块模型中存在坏的局部极小值
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-11-11 DOI: 10.1007/s10955-024-03366-w
Amin Coja-Oghlan, Lena Krieg, Johannes Christian Lawnik, Olga Scheftelowitsch
{"title":"Bad Local Minima Exist in the Stochastic Block Model","authors":"Amin Coja-Oghlan,&nbsp;Lena Krieg,&nbsp;Johannes Christian Lawnik,&nbsp;Olga Scheftelowitsch","doi":"10.1007/s10955-024-03366-w","DOIUrl":"10.1007/s10955-024-03366-w","url":null,"abstract":"<div><p>We study the disassortative stochastic block model with three communities, a well-studied model of graph partitioning and Bayesian inference for which detailed predictions based on the cavity method exist (Decelle et al. in Phys Rev E 84:066106, 2011). We provide strong evidence that for a part of the phase where efficient algorithms exist that approximately reconstruct the communities, inference based on maximum a posteriori (MAP) fails. In other words, we show that there exist modes of the posterior distribution that have a vanishing agreement with the ground truth. The proof is based on the analysis of a graph colouring algorithm from Achlioptas and Moore (J Comput Syst Sci 67:441–471, 2003).</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03366-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142598840","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
Polymer in a Multi-Interface Medium with Weak Repulsion 弱斥力多界面介质中的聚合物
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-11-11 DOI: 10.1007/s10955-024-03352-2
Elric Angot
{"title":"Polymer in a Multi-Interface Medium with Weak Repulsion","authors":"Elric Angot","doi":"10.1007/s10955-024-03352-2","DOIUrl":"10.1007/s10955-024-03352-2","url":null,"abstract":"<div><p>Pinning phenomena for long linear polymers have been studied for a long time. In 2009 Caravenna and Pétrélis (Electron J Probab 14(70):2038–2067, 2009) investigated the effect of a periodic and repulsive multi-interface medium on a <span>((1+1))</span>-directed polymer model, when the distance between consecutive interfaces scales with the length of the polymer and with a constant temperature. In this paper, we extend that model and consider <i>weak repulsion</i>, by letting both the temperature and the distance between interfaces scale with the length of the polymer. We obtain a full diagram for this model, showing the behaviour of the polymer depending on the scaling exponents associated to the repulsion and the spacing parameters. When the repulsion is not too weak compared to the interface spacing, we obtain different regimes that extend those obtained by Caravenna and Pétrélis, and either finitely or infinitely many interfaces are visited. When the two exponents match we obtain a diffusive regime with a non-trivial and temperature-dependent diffusion constant. Our key tools include the renewal approach used in the original paper as well as new sharp results on the simple random walk evolving between interfaces.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142600562","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
Condensation in Zero-Range Processes with a Fast Rate 零范围过程中的快速凝结
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-11-02 DOI: 10.1007/s10955-024-03362-0
Watthanan Jatuviriyapornchai, Stefan Grosskinsky
{"title":"Condensation in Zero-Range Processes with a Fast Rate","authors":"Watthanan Jatuviriyapornchai,&nbsp;Stefan Grosskinsky","doi":"10.1007/s10955-024-03362-0","DOIUrl":"10.1007/s10955-024-03362-0","url":null,"abstract":"<div><p>We introduce a simple zero-range process with constant rates and one fast rate for a particular occupation number, which diverges with the system size. Surprisingly, this minor modification induces a condensation transition in the thermodynamic limit, where the structure of the condensed phase depends on the scaling of the fast rate. We study this transition and its dependence on system parameters in detail on a rigorous level using size-biased sampling. This approach generalizes to any particle system with stationary product measures, and the techniques used in this paper provide a foundation for a more systematic understanding of condensing models with a non-trivial condensed phase.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03362-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142565806","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
Lattice Fundamental Measure Theory Beyond 0D Cavities: Dimers on Square Lattices 超越 0D 空腔的晶格基本量度理论:方格上的二聚体
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-30 DOI: 10.1007/s10955-024-03350-4
Michael Zimmermann, Martin Oettel
{"title":"Lattice Fundamental Measure Theory Beyond 0D Cavities: Dimers on Square Lattices","authors":"Michael Zimmermann,&nbsp;Martin Oettel","doi":"10.1007/s10955-024-03350-4","DOIUrl":"10.1007/s10955-024-03350-4","url":null,"abstract":"<div><p>Using classical density functional theory, we study the behavior of dimers, i.e. hard rods of length <span>(L=2)</span>, on a two-dimensional cubic lattice. For deriving a free energy functional, we employ Levy’s prescription which is based on the minimization of a microscopic free energy with respect to the many-body probability under the constraint of a fixed density profile. Using that, we recover the \"0D cavity\" functional originally found by Lafuente and Cuesta and derive an extension by applying a more general \"cluster density functional theory\" method introduced by Lafuente and Cuesta as well. Moreover, we introduce a new free energy functional, which is based on approximated configurational probabilities. Both derived free energy functionals are exact on cavities that can hold at most two particles simultaneously. The first functional allows to improve the prediction of the free energy in bulk and both of them improve the prediction in highly confined systems, especially for high packing fractions, in comparison to the \"0D cavity\" functional.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03350-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142540674","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
Fluctuations of the Free Energy of the Spherical Sherrington–Kirkpatrick Model with Heavy-Tailed Interaction 重尾相互作用球形谢林顿-柯克帕特里克模型自由能的波动
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-30 DOI: 10.1007/s10955-024-03358-w
Taegyun Kim, Ji Oon Lee
{"title":"Fluctuations of the Free Energy of the Spherical Sherrington–Kirkpatrick Model with Heavy-Tailed Interaction","authors":"Taegyun Kim,&nbsp;Ji Oon Lee","doi":"10.1007/s10955-024-03358-w","DOIUrl":"10.1007/s10955-024-03358-w","url":null,"abstract":"<div><p>We consider the 2-spin spherical Sherrington–Kirkpatrick model without external magnetic field where the interactions between the spins are given as random variables with heavy-tailed distribution. We show that the free energy exhibits a sharp phase transition depending on the location of the largest eigenvalue of the interaction matrix. We also prove the order of the limiting free energy and the limiting distribution of the fluctuation of the free energy for both regimes.\u0000</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142540675","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
Fluctuations of the Occupation Density for a Parking Process 停车过程中的占用密度波动
IF 1.3 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-10-30 DOI: 10.1007/s10955-024-03336-2
Cristian F. Coletti, Sandro Gallo, Alejandro Roldán-Correa, León A. Valencia
{"title":"Fluctuations of the Occupation Density for a Parking Process","authors":"Cristian F. Coletti,&nbsp;Sandro Gallo,&nbsp;Alejandro Roldán-Correa,&nbsp;León A. Valencia","doi":"10.1007/s10955-024-03336-2","DOIUrl":"10.1007/s10955-024-03336-2","url":null,"abstract":"<div><p>Consider the following simple parking process on <span>(Lambda _n:= {-n, ldots , n}^d,dge 1)</span>: at each step, a site <i>i</i> is chosen at random in <span>(Lambda _n)</span> and if <i>i</i> and all its nearest neighbor sites are empty, <i>i</i> is occupied. Once occupied, a site remains so forever. The process continues until all sites in <span>(Lambda _n)</span> are either occupied or have at least one of their nearest neighbors occupied. The final configuration (occupancy) of <span>(Lambda _n)</span> is called the jamming limit and is denoted by <span>(X_{Lambda _n})</span>. Ritchie (J Stat Phys 122:381–398, 2006) constructed a stationary random field on <span>(mathbb {Z}^d)</span> obtained as a (thermodynamic) limit of the <span>(X_{Lambda _n})</span>’s as <i>n</i> tends to infinity. As a consequence of his construction, he proved a strong law of large numbers for the proportion of occupied sites in the box <span>(Lambda _n)</span> for the random field <i>X</i>. Here we prove the central limit theorem, the law of iterated logarithm, and a gaussian concentration inequality for the same statistics. A particular attention will be given to the case <span>(d=1)</span>, in which we also obtain new asymptotic properties for the sequence <span>(X_{Lambda _n},nge 1)</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-024-03336-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142555246","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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