Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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Tuesday, 05.07.2011 10:15 s.t.

Perturbation spreading in many particle systems: a random walk approach Vasily Zaburdaev, Sergey Denisov, and Peter Hanggi

by Dr. Vasily Zaburdaev
from Harvard University, USA

Contact person: Marc Timme


Seminarraum Haus 2, 4. Stock (Bunsenstr.)


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 Levy 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.

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