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We review a series of experimental studies of the thermodynamics of nonequilibrium processes at the microscale. In particular, in these experiments we studied the fluctuations of the thermodynamic properties of a single optically-trapped…

Statistical Mechanics · Physics 2016-06-22 L. Dinis , I. A. Martínez , É. Roldán , J. M. R. Parrondo , R. A. Rica

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

We discuss the thermodynamics of closed quantum systems driven out of equilibrium by a change in a control parameter and undergoing a unitary process. We compare the work actually done on the system with the one that would be performed…

Quantum Physics · Physics 2015-01-20 F. Plastina , A. Alecce , T. J. G. Apollaro , G. Falcone , G. Francica , F. Galve , N. Lo Gullo , R. Zambrini

Adiabatic theorem and non-adiabatic corrections have been widely applied in modern quantum technology. Recently, non-adiabatic linear response theory has been developed to probe the many-body correlations in closed systems. In this work, we…

Quantum Gases · Physics 2025-09-10 Xiaotian Nie , Wei Zheng

We algebraically prove the asymmetry in thermal relaxation in phase space in the entire range from overdamped dynamics to underdamped dynamics. We show that for the same setup as for overdamped dynamics, even in the more general case of…

Statistical Mechanics · Physics 2026-03-20 Cai Dieball , Aljaž Godec

Onsager's phenomenological equations successfully describe irreversible thermodynamic processes. They assume a symmetric coupling matrix between thermodynamic fluxes and forces. It is easily shown that the antisymmetric part of a coupling…

Chemical Physics · Physics 2020-08-10 Thomas Heimburg

This work is a further development of an approach to the description of relaxation processes in complex systems on the basis of the p-adic analysis. We show that three types of relaxation fitted into the Kohlrausch-Williams-Watts law, the…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. A. Avetisov , A. Kh. Bikulov , V. A. Osipov

Adiabatic preparation of the ground states of many-body Hamiltonians in the closed system limit is at the heart of adiabatic quantum computation, but in reality systems are always open. This motivates a natural comparison between, on the…

Quantum Physics · Physics 2017-04-05 Lorenzo Campos Venuti , Tameem Albash , Milad Marvian , Daniel Lidar , Paolo Zanardi

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

We present a comprehensive analysis of the relaxation dynamics of a Luttinger liquid subject to a sequence of sudden interaction quenches. We express the critical exponent $\beta$ governing the decay of the steady-state propagator as an…

Quantum Gases · Physics 2015-05-27 E. Perfetto , G. Stefanucci

The work treats systems combining slow and fast motions depending on each other where fast motions are perturbations of families of either dynamical systems or Markov processes with freezed slow variable. In the first case we consider…

Dynamical Systems · Mathematics 2013-02-21 Yuri Kifer

We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. Using the tools of adiabatic expansion, we develop a self-contained thermodynamic description of this model…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Daniele Nello , Alessandro Silva

We give an example of a simple mechanical system described by the generalized harmonic oscillator equation, which is a basic model in discussion of the adiabatic dynamics and geometric phase. This system is a linearized plane pendulum with…

Mathematical Physics · Physics 2018-02-14 G. M. Pritula , E. V. Petrenko , O. V. Usatenko

We numerically simulate a thermalization process in an energy landscape with hierarchically organized metastable states. The initial configuration is chosen to have a large energy excess, relative to the thermal equilibrium value at the…

Statistical Mechanics · Physics 2009-11-13 Andreas Fischer , Paolo Sibani , Karl Heinz Hoffmann

We investigate the consequences of requiring that a quantum measurement admit an adiabatic enclosure, so that it can be assigned a genuine thermodynamic description in which energy exchange is meaningfully resolved into work and heat. We…

Quantum Physics · Physics 2026-04-21 M. Hamed Mohammady , Francesco Buscemi

We show that the total entropy production in stochastic processes with odd-parity variables (under time reversal) is separated into three parts, only two of which satisfy the integral fluctuation theorems in general. One is the usual excess…

Statistical Mechanics · Physics 2015-06-11 Hyun Keun Lee , Chulan Kwon , Hyunggyu Park

We study the effect of interaction on the temperature change in the process of adiabatic mixing two components of fermi gases by the real-space Bogoliubov-de Gennes (BdG) method. We find that in the process of adiabatic mixing, the…

Quantum Gases · Physics 2011-02-21 Jing Zhou , Zi Cai , Xu-Bo Zou , Guang-Can Guo

We give meaning to the first and second laws of thermodynamics in case of mesoscopic out-of-equilibrium systems which are driven by diffusion processes. The notion of the entropy production is analyzed. The role of the Helmholtz extremum…

Statistical Mechanics · Physics 2008-11-26 Piotr Garbaczewski

Athermal systems across a large range of length scales, ranging from foams and granular bead packings to crumpled metallic sheets, exhibit slow stress relaxation when compressed. Experimentally they show a non-monotonic stress response when…

Soft Condensed Matter · Physics 2021-12-07 Rituparno Mandal , Diego Tapias , Peter Sollich

Isoenergetic thermalization amongst $n$ bodies is a well-known irreversible process, bringing the bodies to a common temperature $T_F$ and leading to a rise in the total entropy of the bodies. We express this change in entropy using the…

Statistical Mechanics · Physics 2024-11-07 Vansh Narang , Renuka Rai , Ramandeep S. Johal