%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 }