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Related papers: Metastable states in the FPU system

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We investigate, both analytically and numerically, dispersive fractalization and quantization of solutions to periodic linear and nonlinear Fermi-Pasta-Ulam-Tsingou systems. When subject to periodic boundary conditions and discontinuous…

Pattern Formation and Solitons · Physics 2025-06-02 Peter J. Olver , Ari Stern

We study the stochastic energetic exchanges in quantum heat engines. Due to microreversibility, these obey a fluctuation relation, called the heat engine fluctuation relation, which implies the Carnot bound: no machine can have an…

Quantum Physics · Physics 2015-03-24 Michele Campisi , Jukka Pekola , Rosario Fazio

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

Statistical Mechanics · Physics 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

Statistical Mechanics · Physics 2008-04-22 Marco Zoli

We study nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces, in a stochastic as well as a deterministic set up. We consider a system and a heat bath, called the combined…

Statistical Mechanics · Physics 2010-02-22 Punyabrata Pradhan

We study the stationary dynamics of an active interacting Brownian particle system. We measure the violations of the fluctuation dissipation theorem, and the corresponding effective temperature, in a locally resolved way. Quite naturally,…

Statistical Mechanics · Physics 2020-07-29 Isabella Petrelli , Leticia F. Cugliandolo , Giuseppe Gonnella , Antonio Suma

Recent experimental advances in ultrafast phenomena have triggered renewed interest in the dynamics of correlated quantum systems away from equilibrium. We review nonequilibrium dynamical mean-field theory studies of both the transient and…

Strongly Correlated Electrons · Physics 2020-05-25 Herbert F. Fotso , James K. Freericks

We use the work done on and the heat removed from a system to maintain it in a nonequilibrium steady state for a thermodynamic-like description of such a system as well as of its fluctuations. Based on a generalized Onsager-Machlup theory…

Statistical Mechanics · Physics 2008-02-10 Tooru Taniguchi , E. G. D. Cohen

Nonlinear normal modes are periodic orbits that survive in nonlinear chains, whose instability plays a crucial role in the dynamics of many-body Hamiltonian systems toward thermalization. Here we focus on how the stability of nonlinear…

Chaotic Dynamics · Physics 2022-08-02 Liangtao Peng , Weicheng Fu , Yong Zhang , Hong Zhao

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

A recent theory by Bertini, De Sole, Gabrielli, Jona-Lasinio and Landim predicts a temporal asymmetry in the fluctuation-relaxation paths of certain observables of nonequilibrium systems in local thermodynamic equilibrium. We find temporal…

Statistical Mechanics · Physics 2009-11-11 C. Giberti , L. Rondoni , C. Vernia

The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well as saturation states. Starting from the Gibbs formalism, we…

Analysis of PDEs · Mathematics 2019-11-01 Hala Ghazi , Francois James , Hélène Mathis

The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for…

Quantum Physics · Physics 2013-07-11 C. H. Fleming , B. L. Hu , Albert Roura

The signature for a non-Fermi liquid behavior near a quantum phase transition has been observed in thermal and transport properties of many metallic systems at low temperatures. In the present work we consider specific examples of itinerant…

Strongly Correlated Electrons · Physics 2009-10-30 Suresh G. Mishra , P. A. Sreeram

Having established the fact that interacting classical kicked rotor systems exhibit long-lived prethermal phase with quasi-conserved average Hamiltonian before entering into chaotic heating regime, we use spatio-temporal fluctuation…

Statistical Mechanics · Physics 2021-09-01 Aritra Kundu , Atanu Rajak , Tanay Nag

Thermodynamic parameters such as temperature and pressure can be defined from the statistical behavior of a system. Therefore, thermal fluctuation is an inseparable characteristic of these parameters which eventually finds its way into…

Computational Physics · Physics 2017-02-28 Alek Bedroya , Mahmud Bahmanabadi

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

The driving force of the dynamical system can be decomposed into the gradient of a potential landscape and curl flux (current). The fluctuation-dissipation theorem (FDT) is often applied to near equilibrium systems with detailed balance.…

Statistical Mechanics · Physics 2015-05-30 Haidong Feng , Jin Wang

We briefly review some of the most relevant results that our group obtained in the past, while investigating the dynamics of the Fermi-Pasta-Ulam (FPU) models. A first result is the numerical evidence of the existence of two different kinds…

Statistical Mechanics · Physics 2016-08-31 Marco Pettini , Lapo Casetti , Monica Cerruti-Sola , Roberto Franzosi , E. G. D. Cohen

In a stochastic heat engine driven by a cyclic non-equilibrium protocol, fluctuations in work and heat give rise to a fluctuating efficiency. Using computer simulations and tools from large deviation theory, we have examined these…

Statistical Mechanics · Physics 2014-10-27 Todd R. Gingrich , Grant M. Rotskoff , Suriyanarayanan Vaikuntanathan , Phillip L. Geissler