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We develop a consistent stochastic thermodynamics for environments composed of thermodynamic reservoirs in an external conservative force field, that is environments described by the Generalized or Gibbs canonical ensemble. We demonstrate…

统计力学 · 物理学 2016-09-14 Jordan M. Horowitz , Massimiliano Esposito

Morphological development into evolutionary patterns under structural instability is ubiquitous in living systems and often of vital importance for engineering structures. Here we propose a data-driven approach to understand and predict…

斑图形成与孤子 · 物理学 2024-07-23 Yingjie Zhao , Zhiping Xu

We introduce a system of self-propelled agents (active Brownian particles) with velocity alignment in two spatial dimensions and derive a mean-field theory from the microscopic dynamics via a nonlinear Fokker-Planck equation and a moment…

统计力学 · 物理学 2011-09-26 Pawel Romanczuk , Lutz Schimansky-Geier

Mean-field systems provide a natural framework in which collective effects persist as the number of degrees of freedom N increases, raising fundamental questions about the emergence of integrability and the nature of chaos in large but…

混沌动力学 · 物理学 2026-02-12 Matheus Rolim Sales , Edson Denis Leonel , Chris G. Antonopoulos

Phase diagrams are an invaluable tool for material synthesis and provide information on the phases of the material at any given thermodynamic condition. Conventional phase diagram generation involves experimentation to provide an initial…

Periodic control systems used in spacecrafts and automotives are usually period-driven and can be decomposed into different modes with each mode representing a system state observed from outside. Such systems may also involve intensive…

系统与控制 · 计算机科学 2012-07-05 Zheng Wang , Geguang Pu , Shenchao Qin , Jianwen Li , Kim G. Larsen , Jan Madsen , Bin Gu , Jifeng He

Phase transitions are ubiquitous across life, yet hard to quantify and describe accurately. In this work, we develop an approach for characterizing generic attributes of phase transitions from very limited observations made deep within…

统计力学 · 物理学 2023-08-30 Lukas Herron , Kinjal Mondal , John S. Schneekloth , Pratyush Tiwary

There are two paradigms to study nanoscale engines in stochastic and quantum thermodynamics. Autonomous models, which do not rely on any external time-dependence, and models that make use of time-dependent control fields, often combined…

量子物理 · 物理学 2021-05-10 Philipp Strasberg , Christopher W. Wächtler , Gernot Schaller

Influenced mixed moving average fields are a versatile modeling class for spatio-temporal data. However, their predictive distribution is not generally known. Under this modeling assumption, we define a novel spatio-temporal embedding and a…

机器学习 · 统计学 2024-08-05 Imma Valentina Curato , Orkun Furat , Lorenzo Proietti , Bennet Stroeh

The thermodynamic formalism, which was first developed for dynamical systems and then applied to discrete Markov processes, turns out to be well suited for continuous time Markov processes as well, provided the definitions are interpreted…

统计力学 · 物理学 2009-11-13 Vivien Lecomte , Cecile Appert-Rolland , Frederic Van-Wijland

We develop an axiomatic reconstruction of thermodynamics based entirely on two primitive components: a description of what aspects of a system are observed and a reference measure that encodes the underlying descriptive convention. These…

化学物理 · 物理学 2026-01-21 Tatsuaki Tsuruyama

Time-dependent quantities are calculated in the linear response limit for a correlated one dimensional model atom driven by an external quadrupolar time-dependent field. Besides the analysis of the time-evolving energy change in the…

量子物理 · 物理学 2015-01-29 I. Nagy , I. Aldazabal , M. L. Glasser

We construct a mean field theory for the lattice model of a structural glass and solve it using the replica method and one step replica symmetry breaking ansatz; this theory becomes exact in the limit of infinite dimensions. Analyzing…

无序系统与神经网络 · 物理学 2009-11-07 A. V. Lopatin , L. B. Ioffe

Non-equilibrium assembly, driven by fluxes controllable by continuous external energy inputs, enables dynamic and reconfigurable structures. Such controlled 3D assembly is desired for the design of adaptive materials that exploit…

软凝聚态物质 · 物理学 2024-12-17 Desmond J. Quinn , Diptabrata Paul , Frank Cichos

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

统计力学 · 物理学 2015-12-03 Ian J. Ford

This paper frames a general prediction system as an observer traveling around a continuous space, measuring values at some locations, and predicting them at others. The observer is completely agnostic about any particular task being solved;…

神经与进化计算 · 计算机科学 2021-03-24 Elliot Meyerson , Risto Miikkulainen

Traffic simulation models have long been popular in modern traffic planning and operation applications. Efficient calibration of simulation models is usually a crucial step in a simulation study. However, traditional calibration procedures…

最优化与控制 · 数学 2025-01-22 Ran Sun , Zihao Wang , Xingmin Wang , Henry X. Liu

Entropic independence is a structural property of measures that underlies modern proofs of functional inequalities, notably (modified) log-Sobolev inequalities, via ``annealing'' or local-to-global schemes. Existing sufficient criteria for…

信息论 · 计算机科学 2026-04-14 Vishesh Jain , Huy Tuan Pham , Thuy-Duong Vuong

We develop a framework for characterizing quantum temporal correlations in a general temporal scenario, in which an initial quantum state is measured, sent through a quantum channel, and finally measured again. This framework does not make…

量子物理 · 物理学 2024-07-03 Shin-Liang Chen , Jens Eisert

The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current in the system. This kind of inference…

统计力学 · 物理学 2021-09-23 Timur Koyuk , Udo Seifert