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We establish a link between unitary relaxation dynamics after a quench in closed many-body systems and the entanglement in the energy eigenbasis. We find that even if reduced states equilibrate, they can have memory on the initial…

Quantum Physics · Physics 2011-01-25 Christian Gogolin , Markus P. Mueller , Jens Eisert

We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the…

High Energy Physics - Theory · Physics 2013-03-14 Jyotirmoy Bhattacharya , Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

The thermal conductivity of classical multi-component fluids is seemingly affected by the intrinsic arbitrariness in the definition of the atomic energies and it is ill-conditioned numerically, when evaluated from the Green-Kubo theory of…

Statistical Mechanics · Physics 2019-09-30 Riccardo Bertossa , Federico Grasselli , Loris Ercole , Stefano Baroni

We demonstrate the existence of a thermal analog of Coulomb drag in many-body systems which is driven by thermal photons. We show that this frictional effect can either be positive or negative depending on the separation distances within…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Philippe Ben-Abdallah

The energetics of the stochastic process has shown the balance of energy on the mesoscopic level. The heat and the energy defined there are, however, generally different from their macroscopic counterpart. We show that this discrepancy can…

Statistical Mechanics · Physics 2009-11-13 Ken Sekimoto

Many-body quantum systems with local interactions undergo ``sudden death of entanglement" at high temperatures, whereby thermal states become classical mixtures of product states. We investigate whether symmetry constraints can prevent this…

Quantum Physics · Physics 2025-10-06 Amir-Reza Negari , Leonardo A. Lessa , Subhayan Sahu

We explore the perspective of considering the squeezed thermal reservoir as an equilibrium reservoir in a generalized Gibbs ensemble with two non-commuting conserved quantities. We outline the main properties of such a reservoir in terms of…

Quantum Physics · Physics 2018-10-16 Gonzalo Manzano

Heat and energy are conceptually different, but often are assumed to be the same without justification. An effective method for investigating diffusion properties in equilibrium systems is discussed. With this method, we demonstrate that…

Statistical Mechanics · Physics 2015-11-03 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

The role of thermodynamics in continuum mechanics and the derivation of the proper constitutive relations is a discussed subject of Rational Mechanics. The classical literature did not use the accumulated knowledge of thermostatics and was…

Statistical Mechanics · Physics 2020-09-02 Peter Ván

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Abhishek Dhar , Dibyendu Roy

Heat conduction of one-dimensional chain of equivalent rigid particles in the field of external on-site potential is considered. Zero diameters of the particles correspond to exactly integrable case with divergent heat conduction…

Condensed Matter · Physics 2009-11-10 O. V. Gendelman , A. V. Savin

Given the full shift over a countable state space on a countable amenable group, we develop its thermodynamic formalism. First, we introduce the concept of pressure and, using tiling techniques, prove its existence and further properties…

Dynamical Systems · Mathematics 2024-11-20 Elmer R. Beltrán , Rodrigo Bissacot , Luísa Borsato , Raimundo Briceño

Macroscopic thermodynamics, via the weak coupling approximation, assumes that the equi?librium properties of a system are not affected by interactions with its environment. However, this assumption may not hold for quantum systems, where…

Quantum Physics · Physics 2023-05-23 Z. Abuali , F. H. Kamin , R. J. S. Afonso , D. O. Soares-Pinto , S. Salimi

A general thermodynamic framework is presented for open quantum systems in fixed contact with a thermal reservoir. The first and second law are obtained for arbitrary system-reservoir coupling strengths, and including both factorized and…

Quantum Physics · Physics 2020-04-23 Ángel Rivas

When studying the thermodynamic properties of mesoscopic systems the most appropriate microcanonical entropy is the volume entropy, i.e. the logarithm of the volume of phase space enclosed by the hypersurface of constant energy. For systems…

Statistical Mechanics · Physics 2007-09-10 Michele Campisi

In this paper we discuss about the validity of the Shannon entropy functional in connection with the correct Gibbs-Hertz probability distribution function. We show that there is no contradiction in using the Shannon-Gibbs functional and…

Classical Physics · Physics 2015-03-11 Alessio Gagliardi , Alessandro Pecchia

It was predicted and recently experimentally confirmed that systems with microscopically reversible dynamics in locally quadratic potentials warm up faster than they cool down. This thermal relaxation asymmetry challenged the…

Statistical Mechanics · Physics 2023-12-12 Cai Dieball , Gerrit Wellecke , Aljaž Godec

This paper gives a 2D hamonic lattices model with missing bond defects, when the capacity ratio of defects is enough large, the temperature gradient can be formed and the finite heat conduction is found in the model. The defects in the 2D…

Chaotic Dynamics · Physics 2009-11-07 Lei Yang , Yang Kongqing

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…

Statistical Mechanics · Physics 2007-05-23 A. S. Parvan

Star clusters in isothermal spheres are studied from a thermodynamic point of view. New density profiles are presented, that describe the collapsed phase at low temperatures. At the transition a set of binaries is formed that carries 13 %…

Statistical Mechanics · Physics 2007-05-23 Th. M. Nieuwenhuizen
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