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Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequilibrium steady state for the quasifree fermionic system corresponding to…

Mathematical Physics · Physics 2020-12-21 Walter H. Aschbacher

For the general class of quasifree fermionic right mover/left mover systems over the infinitely extended two-sided discrete line introduced in [8] within the algebraic framework of quantum statistical mechanics, we study the von Neumann…

Mathematical Physics · Physics 2025-05-27 Walter H. Aschbacher

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we show that the nonequilibrium steady state, constructed in the quasifree fermionic system corresponding…

Mathematical Physics · Physics 2016-09-22 Walter H. Aschbacher

We consider a model of quantum dynamical semigroup on a finite dimensional fermionic space, obtained as the continuous-time limit of a repeated interactions model between a system and several thermal baths, with a dynamic driven by…

Mathematical Physics · Physics 2019-10-04 Andreys Simon

We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system. By combining full counting statistics with newly developed non-Markovian master equation…

Quantum Physics · Physics 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the…

Statistical Mechanics · Physics 2014-07-29 Jiří Pešek

Heat transport exhibits distinct regimes ranging from ballistic propagation to diffusive relaxation, traditionally described by disparate theoretical frameworks. Here, we introduce a unified first-order operator formulation in which…

Optics · Physics 2026-04-29 Pengfei Zhu

Recent research on the fundamentals of statistical mechanics has led to an interesting discovery [1-3]: With locally nonchaotic barriers, as Boltzmann's H-theorem is inapplicable, there exist nontrivial non-thermodynamic systems that can…

Statistical Mechanics · Physics 2025-05-27 Yu Qiao

We consider a discrete-time non-Hamiltonian dynamics of a quantum system consisting of a finite sample locally coupled to several bi-infinite reservoirs of fermions with a translation symmetry. In this setup, we compute the asymptotic…

Mathematical Physics · Physics 2022-09-21 Simon Andréys , Alain Joye , Renaud Raquépas

We study heat transfers in a single level quantum dot strongly coupled to fermionic reservoirs and subjected to a time-dependent protocol modulating the dot energy as well as the dot-reservoir coupling strength. The dynamics is described…

Statistical Mechanics · Physics 2016-01-01 Massimiliano Esposito , Maicol A. Ochoa , Michael Galperin

We explore two- and three-state Markov models driven out of thermal equilibrium by non-potential forces to demonstrate basic properties of the steady heat capacity based on the concept of quasistatic excess heat. It is shown that large…

Statistical Mechanics · Physics 2012-05-11 Jiri Pesek , Eliran Boksenbojm , Karel Netocny

We study non-interacting fermionic systems undergoing continuous monitoring and driven by biased reservoirs. Averaging over the measurement outcomes, we derive exact formulas for the particle and heat flows in the system. We show that these…

Quantum Physics · Physics 2024-04-10 João Ferreira , Tony Jin , Jochen Mannhart , Thierry Giamarchi , Michele Filippone

Electric resistance in conducting media is related to heat (or entropy) production in presence of electric fields. In this paper, by using Araki's relative entropy for states, we mathematically define and analyze the heat production of free…

Mathematical Physics · Physics 2016-11-24 J. -B. Bru , W. de Siqueira Pedra , C. Hertling

We consider heat fluctuations and fluctuation theorems for systems driven by multiple reservoirs. We establish a fundamental symmetry obeyed by the joint probability distribution for the heat transfers and system coordinates. The symmetry…

Statistical Mechanics · Physics 2014-10-03 Hans C. Fogedby , Alberto Imparato

We analyze the heat exchange distribution of quantum open systems undergoing a thermal relaxation that maximizes the entropy production. We show that the process implies a type of generalized law of cooling in terms of a time dependent…

Statistical Mechanics · Physics 2019-05-06 D. S. P. Salazar , A. M. S. Macêdo , G. L. Vasconcelos

The Hamiltonian Mean Field model describes a system of N fully-coupled particles showing a second-order phase transition as a function of the energy. The dynamics of the model presents interesting features in a small energy region below the…

Statistical Mechanics · Physics 2008-11-26 Vito Latora , Andrea Rapisarda

We study the dynamics of heat flux in the thermalization process of a pair of identical quantum system that interact dissipatively with a reservoir in a {\it cascaded} fashion. Despite the open dynamics of the bipartite system S is globally…

An attempt toward the operational formulation of quantum thermodynamics is made by employing the recently proposed operations forming positive operator-valued measures for generating thermodynamic processes. The quantity of heat as well as…

Statistical Mechanics · Physics 2015-06-04 Sumiyoshi Abe , Yuki Aoyaghi

We show that models of opinion formation and dissemination in a community of individuals can be framed within stochastic thermodynamics from which we can build a nonequilibrium thermodynamics of opinion dynamics. This is accomplished by…

Statistical Mechanics · Physics 2023-07-12 Tânia Tomé , Carlos E. Fiore , Mário J. de Oliveira
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