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Statistical Mechanics

Authors and titles for October 2025

Total of 261 entries : 1-50 51-100 101-150 151-200 ... 251-261
Showing up to 50 entries per page: fewer | more | all
[1] arXiv:2510.00610 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Classical and Multiscale Non-equilibrium Thermodynamics
Title: 经典与多尺度非平衡热力学
Miroslav Grmela, Michal Pavelka
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Chemical Physics (physics.chem-ph)
[2] arXiv:2510.00659 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Melting of colloidal crystal in a two-dimensional periodic substrate: Switch from a single crossover to two-stage melting
Title: 二维周期势阱中胶体晶体的熔化:从单交叉熔化到两阶段熔化的转变
Akhilesh M P, Toby Joseph
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[3] arXiv:2510.00975 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion
Title: 砖匠模型的动力学:真正自避运动的多行走者实现
A.C. Maggs
Comments: 9 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)
[4] arXiv:2510.01103 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Depinning of KPZ Interfaces in Fractional Brownian Landscapes
Title: KPZ界面在分数布朗景观中的去钉扎
Neda Valizadeh, Morteza Nattagh Najafi
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Disordered Systems and Neural Networks (cond-mat.dis-nn)
[5] arXiv:2510.01787 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: A variational formulation of stochastic thermodynamics. Part I: Finite-dimensional systems
Title: 随机热力学的变分公式化。 第一部分:有限维系统
Héctor Vaquero del Pino, François Gay-Balmaz, Hiroaki Yoshimura, Lock Yue Chew
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)
[6] arXiv:2510.01823 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Optimal Control of Engineered Swift Equilibration of Nanomechanical Oscillators
Title: 工程快速平衡纳米机械振荡器的最优控制
Julia Sanders, Paolo Muratore-Ginanneschi
Comments: 42 pages, 10 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)
[7] arXiv:2510.02090 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Effective-medium theory for elastic systems with correlated disorder
Title: 弹性系统中相关无序的有效介质理论
Jorge M. Escobar-Agudelo, Rui Aquino, Danilo B. Liarte
Comments: 9 pages, 5 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Disordered Systems and Neural Networks (cond-mat.dis-nn) ; Soft Condensed Matter (cond-mat.soft)
[8] arXiv:2510.02440 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Statistical Signatures of Integrable and Non-Integrable Quantum Hamiltonians
Title: 可积与不可积量子哈密顿量的统计特征
Feng He, Arthur Hutsalyuk, Giuseppe Mussardo, Andrea Stampiggi
Comments: v2: minor corrections, references added. 68+23 pages, 27 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; High Energy Physics - Theory (hep-th) ; Quantum Physics (quant-ph)
[9] arXiv:2510.02448 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Finite-size fluctuations for stochastic coupled oscillators: A general theory
Title: 随机耦合振子的有限尺寸涨落:一种一般理论
Rupak Majumder, Julien Barré, Shamik Gupta
Comments: 26 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Adaptation and Self-Organizing Systems (nlin.AO)
[10] arXiv:2510.02458 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: One-dimensional long-range Ising model: two (almost) equivalent approximations
Title: 一维长程伊辛模型:两种(几乎)等价的近似方法
Valerio Pagni, Guido Giachetti, Andrea Trombettoni, Nicolò Defenu
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)
[11] arXiv:2510.02891 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Numerical methods for quasi-stationary distributions
Title: 拟稳态分布的数值方法
Sara Oliver-Bonafoux, Javier Aguilar, Tobias Galla, Raúl Toral
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)
[12] arXiv:2510.02961 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Percolation and criticality of systems with competing interactions on Bethe lattices: limitations and potential strengths of cluster schemes
Title: 渗流与贝叶斯格子上具有竞争相互作用系统的临界性:簇方案的局限性和潜在优势
Greivin Alfaro Miranda, Mingyuan Zheng, Patrick Charbonneau, Antonio Coniglio, Leticia F. Cugliandolo, Marco Tarzia
Comments: 31 pages, 13 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Soft Condensed Matter (cond-mat.soft) ; Mathematical Physics (math-ph)
[13] arXiv:2510.03087 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: The systemic impact of edges in financial networks
Title: 金融网络中边的系统性影响
Michel Alexandre, Thiago Christiano Silva, Francisco A. Rodrigues
Comments: 28 pages, 11 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Adaptation and Self-Organizing Systems (nlin.AO)
[14] arXiv:2510.03112 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Analytical solution of a free-fermion chain with time-dependent ramps
Title: 自由费米子链的时间依赖斜坡的解析解
Viktor Eisler, Riccarda Bonsignori, Stefano Scopa
Comments: 8 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Quantum Physics (quant-ph)
[15] arXiv:2510.03137 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Minimal-Dissipation Learning for Energy-Based Models
Title: 基于能量模型的最小耗散学习
Jeff Hnybida, Simon Verret
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Adaptation and Self-Organizing Systems (nlin.AO)
[16] arXiv:2510.03159 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Slow dynamics from a nested hierarchy of frozen states
Title: 从冻结态的嵌套层次中产生的慢动力学
Vanja Marić, Luka Paljk, Lenart Zadnik
Comments: 10 pages, 5 figures, v2: Fig. 1 axes updated; system size added to captions of Figs 4 and S1
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Quantum Physics (quant-ph)
[17] arXiv:2510.03900 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Optimal Computation from Fluctuation Responses
Title: 从涨落响应中进行最优计算
Jinghao Lyu, Kyle J. Ray, James P. Crutchfield
Comments: 10 pages, 6 figures; https://csc.ucdavis.edu/~cmg/compmech/pubs/ffr.htm
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Machine Learning (cs.LG)
[18] arXiv:2510.04104 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Dynamics of the Kac Ring Model with switching scatterers
Title: Kac环模型中切换散射器的动力学
Leonid A. Bunimovich, Emilio N. M. Cirillo, Matteo Colangeli, Lamberto Rondoni
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Dynamical Systems (math.DS)
[19] arXiv:2510.04109 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, other]
Title: Strong coupling phases of conserved growth models are crumpled
Title: 守恒生长模型的强耦合相是皱缩的
Debayan Jana, Abhik Basu
Comments: preliminary version
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[20] arXiv:2510.04238 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Interplay of order and disorder in two-dimensional critical systems with mixed boundary conditions
Title: 二维临界系统中有序与无序的相互作用与混合边界条件
E.Eisenriegler
Comments: 37 pages, 2 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[21] arXiv:2510.04485 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Identifying non-equilibrium fluctuations in Intracellular Motion Using Recurrent Neural Networks
Title: 使用循环神经网络识别细胞内运动中的非平衡涨落
Tomas Basile, Natascha Leijnse, Malte Slot Lauridsen, Younes Farhangi Barooji, Amin Doostmohammadi, Karel Proesmans
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[22] arXiv:2510.04575 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Directed percolation transition to active turbulence driven by non-reciprocal forces
Title: 由非对称力驱动的活性湍流的定向渗流相变
Juliane U. Klamser, Ludovic Berthier
Comments: 7 pages, 4 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Disordered Systems and Neural Networks (cond-mat.dis-nn)
[23] arXiv:2510.05042 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Field-Theoretic Simulation of Dean-Kawasaki Dynamics for Interacting Particles
Title: 场论模拟相互作用粒子的Dean-Kawasaki动力学
Jaehyeok Jin, Chen Liu, David R. Reichman
Comments: 21 pages, 10 figures (Supplemental Material: 17 pages, 7 figures, 2 tables)
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Soft Condensed Matter (cond-mat.soft) ; Chemical Physics (physics.chem-ph) ; Computational Physics (physics.comp-ph)
[24] arXiv:2510.05222 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Scalable accuracy gains from postselection in quantum error correcting codes
Title: 量子纠错码中后选择带来的可扩展精度提升
Hongkun Chen, Daohong Xu, Grace M. Sommers, David A. Huse, Jeff D. Thompson, Sarang Gopalakrishnan
Comments: 17 pages, 11 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Quantum Physics (quant-ph)
[25] arXiv:2510.05346 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Exact Quench Dynamics from Thermal Pure Quantum States
Title: 从热纯量子态出发的精确淬火动力学
Hui-Huang Chen
Comments: v2: Revised introduction and conclusion for clarity. Emphasis shifted from thermalization to coherent dephasing and entanglement dynamics. Minor textual improvements. 6+17 pages, 2 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Strongly Correlated Electrons (cond-mat.str-el) ; High Energy Physics - Theory (hep-th) ; Quantum Physics (quant-ph)
[26] arXiv:2510.05502 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, other]
Title: Full counting statistics of electron-photon hybrid systems: Joint statistics and fluctuation symmetry
Title: 电子-光子混合系统的完整计数统计:联合统计和涨落对称性
Tianyi Xiao, Junjie Liu
Comments: 16 pages, 6 figures, comments are welcome!
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Quantum Physics (quant-ph)
[27] arXiv:2510.05887 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Full Eigenstate Thermalization in Integrable Spin Systems
Title: 可积自旋系统中的完全本征态热化
Tanay Pathak
Comments: 7pages, 4 figures + Supplementary Material
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; High Energy Physics - Theory (hep-th) ; Quantum Physics (quant-ph)
[28] arXiv:2510.05940 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Analytic expressions for estimation of the critical properties of inhomogeneous Ising models
Title: 非均匀伊辛模型临界性质的估计解析表达式
Vladislav Egorov (1), Stepan Osipov (2) ((1) Research Center "Kurchatov Institute" - Scientific Research Institute of System Analysis, Moscow, Russian Federation, (2) Cherepovets State University, Cherepovets, Russian Federation)
Comments: 13 pages, 2 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Disordered Systems and Neural Networks (cond-mat.dis-nn)
[29] arXiv:2510.06037 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Unveiling the entropic role of hydration water in SOD1 partitioning within FUS condensate
Title: 揭示水合水在SOD1在FUS凝聚物中分配中的熵作用
Luis Enrique Coronas, Stepan Timr, Fabio Sterpone, Giancarlo Franzese
Comments: 25 pages, 13 figures, 3 tables. Submitted to The Journal of Chemical Physics
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[30] arXiv:2510.06568 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Recurrence in a periodically driven and weakly damped Fermi-Pasta-Ulam-Tsingou chain
Title: 周期驱动和弱阻尼费米-帕斯塔-乌拉姆-津戈链中的递归
Yujun Shi, Haijiang Ren
Comments: 16 pages, 7 figures, submitted to a peer-reviewed journal
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Pattern Formation and Solitons (nlin.PS)
[31] arXiv:2510.06641 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Anomalous Criticality of Absorbing State Transition toward Jamming
Title: 吸收态转向阻塞的异常临界性
He-Da Wang, Bo Wang, Qun-Li Lei, Yu-Qiang Ma
Comments: 9 pages, 4 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[32] arXiv:2510.06795 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Comparison of typicality in quantum and classical many-body systems
Title: 量子和经典多体系统中的典型性比较
Peter Reimann, Nicolas Nessi
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[33] arXiv:2510.06818 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, other]
Title: Thermodynamics of data
Title: 数据的热力学
Borko Stosic
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Data Analysis, Statistics and Probability (physics.data-an)
[34] arXiv:2510.07186 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Renormalization of Interacting Random Graph Models
Title: 相互作用随机图模型的重整化
Alessio Catanzaro, Diego Garlaschelli, Subodh P. Patil
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Disordered Systems and Neural Networks (cond-mat.dis-nn) ; High Energy Physics - Theory (hep-th)
[35] arXiv:2510.07212 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Non-uniqueness of the steady state for run-and-tumble particles with a double-well interaction potential
Title: 具有双势阱相互作用势的跑动-翻转粒子稳态的非唯一性
Léo Touzo, Pierre Le Doussal
Comments: 29 pages, 11 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Soft Condensed Matter (cond-mat.soft) ; Mathematical Physics (math-ph)
[36] arXiv:2510.07301 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Dynamics of feedback Ising model
Title: 反馈伊辛模型的动力学
Yi-Ping Ma, Ivan Sudakow, P. L. Krapivsky, Sergey A. Vakulenko
Comments: 22 pages, 13 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Dynamical Systems (math.DS)
[37] arXiv:2510.07394 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Localization of information driven by stochastic resetting
Title: 由随机重置驱动的信息定位
Camille Aron, Manas Kulkarni
Comments: 5 pages
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Chaotic Dynamics (nlin.CD)
[38] arXiv:2510.07552 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Thermodynamically Consistent Continuum Theory of Magnetic Particles in High-Gradient Fields
Title: 热力学一致的高梯度场中磁性粒子连续介质理论
Marko Tesanovic, Daniel M. Markiewitz, Marcus L. Popp, Martin Z. Bazant, Sonja Berensmeier
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Fluid Dynamics (physics.flu-dyn)
[39] arXiv:2510.07571 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: What is the most optimal diffusion?
Title: 什么是最优扩散?
Vasili Baranau
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[40] arXiv:2510.07797 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Non-Kramers State Transitions in a Synthetic Toggle Switch Biosystem
Title: 非克劳默斯态跃迁在合成切换开关生物系统中
Jianzhe Wei, Jingwen Zhu, Pan Chu, Liang Luo, Xiongfei Fu
Comments: 5 pages, 3 figures in main text; 17 pages, 15 figures in supplemental information
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Cell Behavior (q-bio.CB) ; Molecular Networks (q-bio.MN)
[41] arXiv:2510.07938 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Phase Transitions Without Instability: A Universal Mechanism from Non-Normal Dynamics
Title: 无不稳定性的相变:来自非正常动力学的普遍机制
Virgile Troude, Didier Sornette
Comments: Short letter (8 pages, 1 box and 1 figure) + supplementary document of 21 pages and 5 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[42] arXiv:2510.08021 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Exact solution for the current generated by dissipative master equation in single-band tight-binding systems subject to time-dependent uniform electric fields
Title: 耗散主方程在单带紧束缚系统中产生的电流的精确解,该系统受到时间依赖的均匀电场作用
J. M. Alendouro Pinho, B. Amorim, J. M. Viana Parente Lopes
Comments: 12 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[43] arXiv:2510.08315 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: A nonequilibrium distribution for stochastic thermodynamics
Title: 非平衡分布用于随机热力学
Jean-Luc Garden
Comments: 14 pages; 20 references
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[44] arXiv:2510.08502 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Kinetic description of one-dimensional stochastic dynamics with small inertia
Title: 一维小惯性随机动力学的运动学描述
Denis S. Goldobin, Lyudmila S. Klimenko, Irina V. Tyulkina, Vasily A. Kostin, Lev A. Smirnov
Comments: 24 pages, 5 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Adaptation and Self-Organizing Systems (nlin.AO)
[45] arXiv:2510.08733 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Extreme events scaling in self-organized critical models
Title: 自组织临界模型中的极端事件尺度
Abdul Quadir, Haider Hasan Jafri
Comments: 7 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2410.05705
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[46] arXiv:2510.08909 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Gravity-Induced Modulation of Negative Differential Thermal Resistance in Fluids
Title: 重力引起的流体中负微分热阻的调制
Qiyuan Zhang, Juncheng Guo, Juchang Zou, Rongxiang Luo
Subjects: Statistical Mechanics (cond-mat.stat-mech)
[47] arXiv:2510.08960 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, other]
Title: Collective Variables Based on Multipole Expansion of Ewald Summation for Crystallization
Title: 基于Ewald求和多重展开的结晶集体变量
YaoKun Lei, MaoDong Li, Yi Isaac Yang
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Materials Science (cond-mat.mtrl-sci) ; Soft Condensed Matter (cond-mat.soft)
[48] arXiv:2510.09191 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: An exactly solvable asymmetric simple inclusion process
Title: 一个精确求解的非对称简单包含过程
Arvind Ayyer, Samarth Misra
Comments: 31 pages, 12 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph) ; Combinatorics (math.CO) ; Probability (math.PR)
[49] arXiv:2510.09446 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]
Title: Deep Learning of the Biswas-Chatterjee-Sen Model
Title: 深度学习Biswas-Chatterjee-Sen模型
J. F. Silva Neto, D. S. M. Alencar, L. T. Brito, G. A. Alves, F. W. S. Lima, A. Macedo-Filho, R. S. Ferreira, T. F. A. Alves
Comments: 11 pages, 8 figures. arXiv admin note: text overlap with arXiv:2509.14155
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Data Analysis, Statistics and Probability (physics.data-an)
[50] arXiv:2510.09467 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, other]
Title: Restoring detailed balance in non-Hermitian Markov processes
Title: 在非厄米马尔可夫过程中恢复详细平衡
Tim Van Wesemael, Gilberto Nakamura, Jan Baetens, Odemir M. Bruno, Alexandre S. Martinez, Christophe Deroulers
Comments: 16 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Total of 261 entries : 1-50 51-100 101-150 151-200 ... 251-261
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