Perturbation spreading in many-particle systems: A random walk approach

Zaburdaev V, Denisov SV, Hänggi P (2011)

Publication Type: Journal article

Publication year: 2011

Journal

Physical Review Letters American Physical Society

Book Volume: 106

Article Number: 180601

Journal Issue: 18

DOI: 10.1103/PhysRevLett.106.180601

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 Lévy 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. © 2011 American Physical Society.

Authors with CRIS profile

Vasily Zaburdaev Lehrstuhl für Mathematik in den Lebenswissenschaften

Involved external institutions

Lobachevsky State University of Nizhni Novgorod RU Russian Federation (RU)

How to cite

APA:

Zaburdaev, V., Denisov, S.V., & Hänggi, P. (2011). Perturbation spreading in many-particle systems: A random walk approach. Physical Review Letters, 106(18). https://doi.org/10.1103/PhysRevLett.106.180601

MLA:

Zaburdaev, Vasily, Sergei V. Denisov, and P. Hänggi. "Perturbation spreading in many-particle systems: A random walk approach." Physical Review Letters 106.18 (2011).

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