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arXiv · 1406.6370

Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems

Tanguy Laffargue·Peter Sollich·Julien Tailleur·Frédéric van Wijland
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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.

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BibTeXRIS

Tanguy Laffargue, Peter Sollich, Julien Tailleur, Frédéric van Wijland. 2014-06-24. Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems. https://doi.org/10.1209/0295-5075/110/10006

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