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We investigate a novel type of Langevin model that describes the nonequilibrium dynamics of a classical particle interacting with a spatially extended environment. In this model, a particle, which interacts with the environment through the…

Statistical Mechanics · Physics 2015-10-20 Taiki Haga

We consider a driven Brownian particle, subject to both conservative and non-conservative applied forces, whose probability evolves according to the Kramers equation. We derive a general fluctuation relation, expressing the ratio of the…

Statistical Mechanics · Physics 2007-05-23 A. Imparato , L. Peliti

The fundamental vacuum state of quantum fields, related to Minkowski space, produces divergent fluctuations that must be suppressed in order to bring reality to the description of physical systems. As a consequence, negative vacuum…

Quantum Physics · Physics 2021-06-14 G. H. S. Camargo , V. A. De Lorenci , A. L. Ferreira Junior , C. C. H. Ribeiro

The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics. In such a context all non-trivial ergodic theory issues are by-passed, and the theorem takes a particularly simple form. As a particular…

Statistical Mechanics · Physics 2009-10-30 Jorge Kurchan

We consider a transport equation of the Boltzmann-Langevin type for non-Abelian plasmas close to equilibrium to derive the spectral functions of the underlying microscopic fluctuations from the entropy. The correlator of the stochastic…

High Energy Physics - Phenomenology · Physics 2009-10-31 Daniel F. Litim , Cristina Manuel

While the issues of dissipation, fluctuations, noise and decoherence in open quantum systems (with autocratic divide) analyzed via Langevin dynamics are familiar subjects, the treatment of corresponding issues in closed quantum systems is…

Statistical Mechanics · Physics 2020-08-25 Bei-Lok Hu

A formula to calculate the quantum fluctuations of energy in small subsystems of a hot and relativistic gas is derived. We find an increase in fluctuations for subsystems of small sizes, but we agrees with the energy fluctuations in the…

Nuclear Theory · Physics 2021-10-08 Rajeev Singh

The Einstein-Langevin equation is a perturbative correction to the semiclassical Einstein equation which takes into account the lowest order quantum fluctuations of the matter stress-energy tensor. It predicts classical stochastic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rosario Martin , Enric Verdaguer

The linear response of non-equilibrium systems with Markovian dynamics satisfies a generalized fluctuation-dissipation relation derived from time symmetry and antisymmetry properties of the fluctuations. The relation involves the sum of two…

Statistical Mechanics · Physics 2011-01-07 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto , Christian Maes

We address the question of the microscopic origin of dissipation in collective motion of a quantum many--body system in the framework of a parametric random matrix approach to the intrinsic dynamics. We show that the…

Nuclear Theory · Physics 2007-05-23 Aurel Bulgac , Giu Do Dang , Dimitri Kusnezov

Mesoscopic physics deals with three fundamental issues: quantum coherence, fluctuations and correlations. Here we analyze these issues for atom optics, using a simplified model of an assembly of atoms (or detectors, which are particles with…

Quantum Physics · Physics 2007-05-23 B. L. Hu , Alpan Raval

We present a derivation of the effect of the classical field configuration to the diffusion equations. Using the formalism of the thermo field dynamics we propose a systematic and consistent way to treat the classical background and to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jukka Sirkka , Iiro Vilja

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matters in difference phases. Normally, the atomic dynamics are described by classical equations of motion…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing-Tao Lü , Bing-Zhong Hu , Per Hedegård , Mads Brandbyge

It has long been recognized that the dynamics of linear quantum systems is classical in the Wigner representation. Yet many conceptually important linear problems are typically analyzed using such generally applicable techniques as…

Quantum Physics · Physics 2011-08-04 James Anglin , Salman Habib

We focus on the dynamics of a Brownian particle whose mass fluctuates. First we show that the behaviour is similar to that of a Brownian particle moving in a fluctuating medium, as studied by Beck [Phys. Rev. Lett. 87 (2001) 180601]. By…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , M. Ausloos

Large dynamical fluctuations - atypical realizations of the dynamics sustained over long periods of time - can play a fundamental role in determining the properties of collective behavior of both classical and quantum non-equilibrium…

Statistical Mechanics · Physics 2018-07-18 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

In non-relativistic field theories, quantum fluctuations give rise to dissipative behaviour even at zero temperature. Here we use holographic methods to explore the dissipative dynamics of massive particles coupled to quantum critical…

High Energy Physics - Theory · Physics 2013-05-30 David Tong , Kenny Wong

In a description of physical systems with Langevin equations, interacting degrees of freedom are usually coupled through symmetric parameter matrices. This coupling symmetry is a consequence of time-reversal symmetry of the involved…

Statistical Mechanics · Physics 2017-08-09 Benedikt Sabass

Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal lattice. The particle motion is described by a Langevin…

Statistical Mechanics · Physics 2011-11-04 I. G. Marchenko , I. I. Marchenko

In this paper we address the problem of consistently construct Langevin equations to describe fluctuations in non-linear systems. Detailed balance severely restricts the choice of the random force, but we prove that this property together…

Condensed Matter · Physics 2007-05-23 J. Bonet Avalos , I. Pagonabarraga
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