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We illustrate recent results concerning the validity of the work fluctuation theorem in open quantum systems [M. Campisi, P. Talkner, and P. H\"{a}nggi, Phys. Rev. Lett. {\bf 102}, 210401 (2009)], by applying them to a solvable model of an…

Statistical Mechanics · Physics 2009-09-14 Michele Campisi , Peter Talkner , Peter Hänggi

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

Statistical Mechanics · Physics 2016-04-11 Gianmaria Falasco , Marco Baiesi

Almost a century ago, Johnson and Nyquist presented evidence of fluctuating electrical current and the governing fluctuation dissipation theorem (FDT). Whether, likewise, temperature T can fluctuate is a controversial topic and has led to…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Bayan Karimi , Fredrik Brange , Peter Samuelsson , Jukka P. Pekola

Strongly correlated systems far from equilibrium can exhibit scaling solutions with a dynamically generated weak coupling. We show this by investigating isolated systems described by relativistic quantum field theories for initial…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Berges , A. Rothkopf , J. Schmidt

We establish a new non-equilibrium scaling regime in the short time evolution of one-dimensional interacting open quantum systems subject to a generic heating mechanism. This dynamical regime is characterized by uncompensated phonon…

Quantum Gases · Physics 2018-09-13 Michael Buchhold , Sebastian Diehl

In presence of interactions, a closed, homogeneous (disorder-free) many-body system is believed to generically heat up to an `infinite temperature' ensemble when subjected to a periodic drive: in the spirit of the ergodicity hypothesis…

Statistical Mechanics · Physics 2018-06-20 Asmi Haldar , Roderich Moessner , Arnab Das

Periodically driven systems are a common topic in modern physics. In optical lattices specifically, driving is at the origin of many interesting phenomena. However, energy is not conserved in driven systems, and under periodic driving,…

Statistical Mechanics · Physics 2017-11-27 Anton Quelle , Cristiane Morais Smith

The local equilibrium thermodynamics is a basic assumption of macroscopic descriptions of the out of equilibrium dynamics for Hamiltonian systems. We numerically analyze the Hamiltonian Potts model in two dimensions to study the violation…

Statistical Mechanics · Physics 2023-06-21 Michikazu Kobayashi , Naoko Nakagawa , Shin-ichi Sasa

Active matter systems exhibit rich emergent behavior due to constant injection and dissipation of energy at the level of individual agents. Since these systems are far from equilibrium, their dynamics and energetics cannot be understood…

Soft Condensed Matter · Physics 2020-04-23 Sarah Eldeen , Ryan Muoio , Paris Blaisdell-Pijuan , Ngoc La , Mauricio Gomez , Alex Vidal , Wylie Ahmed

Measurement of energy dissipation in small nonequilibrium systems is generally a difficult task. Recently, Harada and Sasa [Phys.Rev.Lett. 95, 130602(2005)] derived an equality relating the energy dissipation rate to experimentally…

Statistical Mechanics · Physics 2009-11-11 Shoichi Toyabe , Hong-Ren Jiang , Takenobu Nakamura , Yoshihiro Murayama , Masaki Sano

We introduce a new microcanonical dynamics for a large class of Ising systems isolated or maintained out of equilibrium by contact with thermostats at different temperatures. Such a dynamics is very general and can be used in a wide range…

Statistical Mechanics · Physics 2009-07-28 Elena Agliari , Mario Casartelli , Alessandro Vezzani

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of…

Statistical Mechanics · Physics 2022-03-24 Mingxi Yue , Xiaoqin Yang , Zi Cai

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is…

Statistical Mechanics · Physics 2015-06-11 Luca D'Alessio , Anatoli Polkovnikov

We show how to use a central limit approximation for additive co-cycles to describe non-equilibrium and far from equilibrium thermodynamic behavior. We consider first two weakly coupled Hamiltonian dynamical systems initially at different…

Statistical Mechanics · Physics 2012-04-11 Hans Henrik Rugh

We show that quantum fluctuations display a singularity at thermal critical points, involving the dynamical $z$ exponent. Quantum fluctuations, captured by the quantum variance (I. Fr\'erot and T. Roscilde, Phys. Rev. B 94, 075121 (2016)),…

Statistical Mechanics · Physics 2022-03-31 Irénée Frérot , Adam Rançon , Tommaso Roscilde

We consider mesoscopic fluctuations of the Coulomb drag coefficient $\rho_D$ in the system of two separated two-dimensional electron gases. It is shown that at low temperatures sample to sample fluctuations of $\rho_D$ exceed its ensemble…

Condensed Matter · Physics 2009-10-31 B. N. Narozhny , I. L. Aleiner

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

We reanalyse the work of Cleuren et al., Phys. Rev. Lett. 109, 248902 (2012), in the light of Jiang et al. Phys. Rev. B 85, 075412 (2012). The condition for cooling enforces its rate to be exponentially small at low temperatures. Thus, the…

Mesoscale and Nanoscale Physics · Physics 2013-11-05 O. Entin-Wohlman , Y. Imry

We consider the thermodynamic potential describing the macroscopic fluctuation of the current and local energy of a general class of Hamiltonian models including aerogels. We argue that this potential is neither analytic nor strictly…

Mathematical Physics · Physics 2015-05-19 Raphael Lefevere , Mauro Mariani , Lorenzo Zambotti