A numerical approach to large deviations in continuous-time
V. Lecomte, and J. Tailleur. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
Over the last decade, there has been a growing interest within the physics community in the use of large deviation functions to describe the fluctuations of physical observables. This tools proved especially well-suited to probe transient or non-equilibrium phenomena, for which one lacks a general approach such as the Boltzman-Gibbs thermodynamics of equilibrium.
We present an algorithm to evaluate the large deviation functions associated to history-dependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide a direct continuous-time algorithm, valuable for systems with multiple time scales. The procedure yields a direct access to typical configurations giving birth to deviations, which we
illustrate on a driven lattice gas.
We also show how the method can be used to probe large deviation functions
in systems with a dynamical phase transition -- revealed in our context through the appearance of a non-analyticity in the large deviation functions and a discontinuity of the (dynamical) order parameter.
Reference: Lecomte V and Tailleur J, J. Stat. Mech. (2007) P03004
%0 Book Section
%1 statphys23_0601
%A Lecomte, V.
%A Tailleur, J.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K deviation dynamical dynamics function large non-equilibrium path phase sampling statphys23 topic-3 transition
%T A numerical approach to large deviations in continuous-time
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=601
%X Over the last decade, there has been a growing interest within the physics community in the use of large deviation functions to describe the fluctuations of physical observables. This tools proved especially well-suited to probe transient or non-equilibrium phenomena, for which one lacks a general approach such as the Boltzman-Gibbs thermodynamics of equilibrium.
We present an algorithm to evaluate the large deviation functions associated to history-dependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide a direct continuous-time algorithm, valuable for systems with multiple time scales. The procedure yields a direct access to typical configurations giving birth to deviations, which we
illustrate on a driven lattice gas.
We also show how the method can be used to probe large deviation functions
in systems with a dynamical phase transition -- revealed in our context through the appearance of a non-analyticity in the large deviation functions and a discontinuity of the (dynamical) order parameter.
Reference: Lecomte V and Tailleur J, J. Stat. Mech. (2007) P03004
@incollection{statphys23_0601,
abstract = {Over the last decade, there has been a growing interest within the physics community in the use of large deviation functions to describe the fluctuations of physical observables. This tools proved especially well-suited to probe transient or non-equilibrium phenomena, for which one lacks a general approach such as the Boltzman-Gibbs thermodynamics of equilibrium.
We present an algorithm to evaluate the large deviation functions associated to history-dependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide a direct continuous-time algorithm, valuable for systems with multiple time scales. The procedure yields a direct access to typical configurations giving birth to deviations, which we
illustrate on a driven lattice gas.
We also show how the method can be used to probe large deviation functions
in systems with a dynamical phase transition -- revealed in our context through the appearance of a non-analyticity in the large deviation functions and a discontinuity of the (dynamical) order parameter.
Reference: Lecomte V and Tailleur J, J. Stat. Mech. (2007) P03004},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Lecomte, V. and Tailleur, J.},
biburl = {https://www.bibsonomy.org/bibtex/2cbfeddd402a45c8b559838019ed1c38a/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {5ee059864b0412edf8aa52f0175ca1f3},
intrahash = {cbfeddd402a45c8b559838019ed1c38a},
keywords = {deviation dynamical dynamics function large non-equilibrium path phase sampling statphys23 topic-3 transition},
month = {9-13 July},
timestamp = {2007-06-20T10:16:24.000+0200},
title = {A numerical approach to large deviations in continuous-time},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=601},
year = 2007
}