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We explore the consequences of a deterministic microscopic thermostat-reservoir contact mechanism. With different temperature reservoirs at each end of a two-dimensional system, a heat current is produced and the system has an anomalous…

统计力学 · 物理学 2015-06-15 Gary P. Morriss , Daniel P. Truant

Recently a number of approaches has been developed to connect the microscopic dynamics of particle systems to the macroscopic properties of systems in nonequilibrium stationary states, via the theory of dynamical systems. This way a direct…

统计力学 · 物理学 2009-10-31 L. Rondoni , E. G. D. Cohen

Comparison of the thermodynamic entropy with Boltzmann's principle shows that under conditions of constant volume the total number of arrangements in simple thermodynamic systems with temperature-independent heat capacities is TC/k. A…

综合物理 · 物理学 2009-11-13 David Sands

A new approach to non-extensive thermodynamical systems with non-additive energy and entropy is proposed. The main idea of the paper is based on the statistical matching of the thermodynamical systems with the additive multi-step Markov…

数据分析、统计与概率 · 物理学 2007-05-23 S. S. Apostolov , Z. A. Mayzelis , O. V. Usatenko , V. A. Yampol'skii

Here we investigate how local properties of particles in a thermal bath influence the thermodynamics of the bath. We utilize nanothermodynamics, based on two postulates: that small systems can be treated self-consistently by coupling to an…

统计力学 · 物理学 2022-10-26 Ralph V. Chamberlin , Michael R. Clark , Vladimiro Mujica , George H. Wolf

Traditional random-walk particle-tracking (PT) models of advection and dispersion do not track entropy, because particle masses remain constant. Newer mass-transfer particle tracking (MTPT) models have the ability to do so because masses of…

计算物理 · 物理学 2019-05-16 David A. Benson , Stephen Pankavich , Michael Schmidt , Guillem Sole-Mari

Thermodynamics makes definite predictions about the thermal behavior of macroscopic systems in and out of equilibrium. Statistical mechanics aims to derive this behavior from the dynamics and statistics of the atoms and molecules making up…

统计力学 · 物理学 2018-03-28 Sheldon Goldstein , David A. Huse , Joel L. Lebowitz , Pablo Sartori

It is known that the equilibrium properties of open classical systems that are strongly coupled to a heat bath are described by a set of thermodynamic potentials related to the system's Hamiltonian of mean force. By adapting this framework…

统计力学 · 物理学 2017-06-28 Harry J. D. Miller , Janet Anders

The concept of entropy has been pivotal in the formulation of thermodynamics. For systems driven away from thermal equilibrium, a comparable role is played by entropy production and dissipation. Here we provide a comprehensive picture how…

软凝聚态物质 · 物理学 2025-05-15 Robin Bebon , Joshua F. Robinson , Thomas Speck

Based on quantum statistical mechanics and microscopic quantum dynamics, we prove Planck's and Kelvin's principles for macroscopic systems in a general and realistic setting. We consider a hybrid quantum system that consists of the…

统计力学 · 物理学 2016-05-04 Hal Tasaki

In this paper, we derive both the Adam-Gibbs and the Rosenfield relations from the microscopic point of view and compare them with the numerical calculation for one and two dimensional systems. The comparison shows there is an excellent…

统计力学 · 物理学 2025-04-21 Bidhan Chandra Bag

In this Letter, we investigate how changes in the system entropy influence the characteristic time scale of the system molecular dynamics near the glass transition. Independently of any model of thermodynamic evolution of the time scale,…

软凝聚态物质 · 物理学 2015-06-24 K. Grzybowska , A. Grzybowski , S. Pawlus , J. Pionteck , M. Paluch

Controversy exists regarding the possible existence of a transition between the liquid and glassy states of water. Here we use experimental measurements of the entropy, specific heat, and enthalpy of both liquid and glassy water to…

凝聚态物理 · 物理学 2007-05-23 Francis W. Starr , C. Austen Angell , Robin J. Speedy , H. Eugene Stanley

Entropy is a quantity for counting physical degrees of freedom in a system. At a finite temperature, one can use thermal entropy to study thermodynamical properties. At zero temperature, entanglement entropy is expected to provide a…

高能物理 - 理论 · 物理学 2018-10-29 Chen-Te Ma

We develop the framework of classical Observational entropy, which is a mathematically rigorous and precise framework for non-equilibrium thermodynamics, explicitly defined in terms of a set of observables. Observational entropy can be seen…

统计力学 · 物理学 2020-09-09 Dominik Šafránek , Anthony Aguirre , J. M. Deutsch

Pinning a fraction of particles from an equilibrium configuration in supercooled liquids has been recently proposed as a way to induce a new kind of glass transition, the Random Pinning Glass Transition (RPGT). The RPGT has been predicted…

无序系统与神经网络 · 物理学 2014-10-13 Chiara Cammarota

We investigate the entropic consequences of the relaxation of an open two-level quantum system towards a thermalised statistical state, using a framework of quantum state diffusion with a minimal set of raising and lowering Lindblad…

量子物理 · 物理学 2023-03-08 Jonathan Dexter , Ian J. Ford

Charged plasma and Fermi liquid are two distinct states of electronic matter intrinsic to dilute two-dimensional electron systems at elevated and low temperatures, respectively. Probing their thermodynamics represents challenge because of…

介观与纳米尺度物理 · 物理学 2015-11-18 A. Yu. Kuntsevich , Y. V. Tupikov , V. M. Pudalov , I. S. Burmistrov

A theory for thermodynamic induction (TI) under isothermal conditions is presented. This includes a treatment of the Helmholtz free energy budget available for a gate variable to utilize towards aiding another variable's approach towards…

介观与纳米尺度物理 · 物理学 2021-10-07 S. N. Patitsas

One of the key objectives in investigating small stochastic systems is the development of micrometer-sized engines and the understanding of their thermodynamics. However, the primary mathematical tool used for this purpose, the overdamped…

统计力学 · 物理学 2025-03-31 Shakul Awasthi , Hyunggyu Park , Jae Sung Lee