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We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and…

High Energy Physics - Theory · Physics 2017-09-13 Stefan Hollands , Roberto Longo

We consider a simple one dimensional stochastic model of heat transport which locally conserves both energy and momentum and which is coupled to heat reservoirs with different temperatures at its two ends. The steady state is analyzed and…

Statistical Mechanics · Physics 2016-04-20 Anupam Kundu , Ori Hirschberg , David Mukamel

We consider a $W^*$-dynamical system $(\Mg,\taug)$, which models finitely many particles coupled to an infinitely extended heat bath. The energy of the particles can be described by an unbounded operator, which has infinitely many energy…

Mathematical Physics · Physics 2011-01-14 Martin Könenberg

We study a system formed by $M$ particles moving in 3 dimension and interacting with 2 heat reservoirs with $N>>M$ particles each. The system and the reservoirs evolve and interact via random collision described by a Kac-type master…

Mathematical Physics · Physics 2026-04-21 Federico Bonetto , Michael Loss , Matthew Powell

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

Statistical Mechanics · Physics 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

The resource theory of thermal operations explains the state transformations that are possible in a very specific thermodynamic setting: there is only one thermal bath, auxiliary systems can only be in corresponding thermal state (free…

Quantum Physics · Physics 2019-10-15 Angeline Shu , Yu Cai , Stella Seah , Stefan Nimmrichter , Valerio Scarani

An atom, coupled linearly to an environment, is considered in a harmonic approximation in thermal equilibrium inside a cavity. The environment is modeled by an infinite set of harmonic oscillators. We employ the notion of dressed states to…

Quantum Physics · Physics 2012-01-25 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Floquet engineering of closed quantum systems can lead to the formation of long-lived prethermal states that, in general, eventually thermalize to infinite temperature. Coupling these driven systems to dissipative baths can stabilize such…

Strongly Correlated Electrons · Physics 2020-06-02 Hristiana Atanasova , Alexander I. Lichtenstein , Guy Cohen

To understand the mechanism allowing for the long-term storage of excess energy in proteins, we study a Hamiltonian system consisting of several coupled pendula in partial contact with a heat bath. It is found that energy storage is…

Statistical Mechanics · Physics 2009-10-31 Naoko Nakagawa , Kunihiko Kaneko

Results on heat current, entropy production rate and entanglement are reported for a quantum system coupled to two different temperature heat reservoirs. By applying a temperature gradient, different quantum states can be found with exactly…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Luis Quiroga , Ferney J. Rodriguez , Maria E. Ramirez , Roberto Paris

Hamiltonian mechanics can be used to constrain temperature simultaneously with energy. We illustrate the interesting situations that develop when two different temperatures are imposed within a composite Hamiltonian system. The model…

Statistical Mechanics · Physics 2015-06-15 Wm. G. Hoover , Carol G. Hoover

We study a model of random colliding particles interacting with an infinite reservoir at fixed temperature and chemical potential. Interaction between the particles is modeled via a Kac master equation \cite{kac}. Moreover, particles can…

Mathematical Physics · Physics 2022-06-08 Justin Beck , Federico Bonetto

We study a particle immersed in a heat bath, in the presence of an external force which decays at least as rapidly as $1/x$, for example a particle interacting with a surface through a Lennard-Jones or a logarithmic potential. As time…

Statistical Mechanics · Physics 2019-01-09 Erez Aghion , David A. Kessler , Eli Barkai

We consider two high-frequency thermal processes in uniformly heated harmonic crystals relaxing towards equilibrium: (i) equilibration of kinetic and potential energies and (ii) redistribution of energy among spatial directions. Equation…

Statistical Mechanics · Physics 2017-08-01 Vitaly A. Kuzkin , Anton M. Krivtsov

We consider a simple model of a stochastic heat engine, which consists of a single Brownian particle moving in a one-dimensional periodically breathing harmonic potential. Overdamped limit is assumed. Expressions of second moments…

Statistical Mechanics · Physics 2022-05-04 Shinji Iida , Koki Negoro , Kanta Yamada

We propose a new look at the heat bath for two Brownian particles, in which the heat bath as a `system' is both perturbed and sensed by the Brownian particles. Non-local thermal fluctuation give rise to bath-mediated static forces between…

Statistical Mechanics · Physics 2015-06-17 Caterina De Bacco , Fulvio Baldovin , Enzo Orlandini , Ken Sekimoto

In this article, we develop a functional-analytic framework to establish existence, uniqueness, regularity of disintegration, and statistical properties of equilibrium states for a broad class of dynamical systems, potentially discontinuous…

Dynamical Systems · Mathematics 2026-02-20 Rafael Bilbao , Rafael Lucena

When modeling charge dynamics in a chain of N sites at a temperature T, a Langevin thermostat and a Hamiltonian system, i.e., a chain heated to a given temperature before charge is injected, are compared. It is shown that the polaron…

Statistical Mechanics · Physics 2023-10-10 N. Fialko , M. Olshevets , V. D. Lakhno