Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems
Statistical Mechanics
2015-04-27 v3 Chaotic Dynamics
Abstract
We present a general formalism for computing the largest Lyapunov exponent and its fluctuations in spatially extended systems described by diffusive fluctuating hydrodynamics, thus extending the concepts of dynamical system theory to a broad range of non-equilibrium systems. Our analytical results compare favourably with simulations of a lattice model of heat conduction. We further show how the computation of the Lyapunov exponent for the Symmetric Simple Exclusion Process relates to damage spreading and to a two-species pair annihilation process, for which our formalism yields new finite size results.
Keywords
Cite
@article{arxiv.1406.6370,
title = {Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems},
author = {Tanguy Laffargue and Peter Sollich and Julien Tailleur and Frédéric van Wijland},
journal= {arXiv preprint arXiv:1406.6370},
year = {2015}
}