Classical transport in a maximally chaotic chain

Fuente: arXiv
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Main Authors: Alderson, William, Dubertrand, Rémy, Shudo, Akira
Format: Preprint
Published: 2024
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author Alderson, William
Dubertrand, Rémy
Shudo, Akira
author_facet Alderson, William
Dubertrand, Rémy
Shudo, Akira
contents A model for a lattice of coupled cat maps has been recently introduced. This new and specific choice of the coupling makes the description especially easy and nontrivial quantities as Lyapunov exponents determined exactly. We studied the ergodic property of the dynamics along such a chain for a local perturbation. While the perturbation spreads across a front growing ballistically, the position and momentum profiles show large fluctuations due to chaos leading to diffusive transport in the phase space. It provides an example where the diffusion can be directly inferred from the microscopic chaos.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19828
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Classical transport in a maximally chaotic chain
Alderson, William
Dubertrand, Rémy
Shudo, Akira
Chaotic Dynamics
Statistical Mechanics
Mathematical Physics
A model for a lattice of coupled cat maps has been recently introduced. This new and specific choice of the coupling makes the description especially easy and nontrivial quantities as Lyapunov exponents determined exactly. We studied the ergodic property of the dynamics along such a chain for a local perturbation. While the perturbation spreads across a front growing ballistically, the position and momentum profiles show large fluctuations due to chaos leading to diffusive transport in the phase space. It provides an example where the diffusion can be directly inferred from the microscopic chaos.
title Classical transport in a maximally chaotic chain
topic Chaotic Dynamics
Statistical Mechanics
Mathematical Physics
url https://arxiv.org/abs/2411.19828