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The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

统计力学 · 物理学 2016-06-29 Kay Brandner , Udo Seifert

Describing and understanding the motion of quantum gases out of equilibrium is one of the most important modern challenges for theorists. In the groundbreaking Quantum Newton Cradle experiment [Kinoshita, Wenger and Weiss, Nature 440, 900,…

Operational quantum stochastic thermodynamics is a recently proposed theory to study the thermodynamics of open systems based on the rigorous notion of a quantum stochastic process or quantum causal model. In there, a stochastic trajectory…

量子物理 · 物理学 2020-03-04 Philipp Strasberg

The classical thermodynamic laws fail to capture the behavior of systems with energy Hamiltonian which is an explicit function of the temperature. Such Hamiltonian arises, for example, in modeling information processing systems, like…

统计力学 · 物理学 2009-11-13 Ori Shental , Ido Kanter

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

统计力学 · 物理学 2024-04-18 Gyula I. Tóth

Thermodynamics is traditionally concerned with systems comprised of a large number of particles. Here we present a framework for extending thermodynamics to individual quantum systems, including explicitly a thermal bath and work-storage…

量子物理 · 物理学 2014-09-29 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

We develop a highly efficient framework for computing the thermal entropy in the doped Fermi-Hubbard model within the grand-canonical ensemble. The framework comprises four calculation schemes that express the entropy as path integrals in…

强关联电子 · 物理学 2026-03-20 Yu-Feng Song , Youjin Deng , Yuan-Yao He

Recently, some of us developed a novel model glass-forming liquid with k extra interactions with pseudo neighbours to each liquid particle over and above the regular interactions with its neighbours. Analysis of the structure and dynamics…

The dynamics and the thermodynamics of particles/spins interacting via long-range forces display several unusual features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model, a Hamiltonian system of…

统计力学 · 物理学 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

We investigate the phase space structure and dynamics of a Hamiltonian isokinetic thermostat, for which ergodic thermostat trajectories at fixed (zero) energy generate a canonical distribution in configuration space. Model potentials…

统计力学 · 物理学 2015-05-18 Peter Collins , Gregory S. Ezra , Stephen Wiggins

The microscopic foundation of the generalized equilibrium statistical mechanics based on the Tsallis entropy is given by using the Gibbs idea of statistical ensembles of the classical and quantum mechanics. The equilibrium distribution…

统计力学 · 物理学 2007-05-23 A. S. Parvan

We study the problem of thermoelectricity and propose a simple microscopic mechanism for the increase of thermoelectric efficiency. We consider the cross transport of particles and energy in open classical ergodic billiards. We show that,…

统计力学 · 物理学 2011-09-08 Giulio Casati , Carlos Mejia-Monasterio , Tomaz Prosen

Multiscale thermodynamics is a theory of relations among levels of description. Energy and entropy are its two main ingredients. Their roles in the time evolution describing approach of a level (starting level) to another level involving…

统计力学 · 物理学 2024-02-26 Miroslav Grmela

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

Thermodynamics and transport are investigated in a holographic QCD model that extends the Einstein--Maxwell--Dilaton framework by incorporating Gauss--Bonnet corrections. Model parameters are fixed using state-of-the-art lattice QCD…

高能物理 - 理论 · 物理学 2026-05-25 ChenWei Tong , Jie Zhou , YuanXu Wang , Rong-Gen Cai , Song He , Li Li

Entropy, its production, and its change in a dynamical system can be understood from either a fully stochastic dynamic description or from a deterministic dynamics exhibiting chaotic behavior. By taking the former approach based on the…

数学物理 · 物理学 2025-08-26 Hong Qian , Zhongwei Shen

Two identities in statistical mechanics involving entropy differences (or ratios of density of states) at constant energy are derived. The first provides a nontrivial extension of the Jarzynski equality to the microcanonical ensemble [C.…

统计力学 · 物理学 2009-11-10 Artur B. Adib

A typical strategy of realizing an adiabatic change of a many-particle system is to vary parameters very slowly on a time scale $t_\text{r}$ much larger than intrinsic equilibration time scales. In the ideal case of adiabatic state…

统计力学 · 物理学 2021-03-24 Philipp S. Weiß , Dennis Hardt , Achim Rosch

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

统计力学 · 物理学 2015-06-11 Tânia Tomé , Mário J. de Oliveira

The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

物理学史与哲学 · 物理学 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson
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