Perturbation spreading in many-particle systems: a random walk approach
Abstract
The propagation of an initially localized perturbation via an interacting many-particle Hamiltonian dynamics is investigated. We argue that the propagation of the perturbation can be captured by the use of a continuous-time random walk where a single particle is traveling through an active, fluctuating medium. Employing two archetype ergodic many-particle systems, namely (i) a hard-point gas composed of two unequal masses and (ii) a Fermi-Pasta-Ulam chain we demonstrate that the corresponding perturbation profiles coincide with the diffusion profiles of the single-particle L\'{e}vy walk approach. The parameters of the random walk can be related through elementary algebraic expressions to the physical parameters of the corresponding test many-body systems.
Cite
@article{arxiv.1101.1839,
title = {Perturbation spreading in many-particle systems: a random walk approach},
author = {V. Zaburdaev and S. Denisov and P. Hanggi},
journal= {arXiv preprint arXiv:1101.1839},
year = {2012}
}