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Perturbation Spreading in Many-Particle Systems: A Random Walk Approach

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Zaburdaev, V., Denisov, S., & Haenggi, P. (2011). Perturbation Spreading in Many-Particle Systems: A Random Walk Approach. Physical Review Letters, 106(18): 180601. doi:10.1103/PhysRevLett.106.180601.


Cite as: http://hdl.handle.net/21.11116/0000-0008-6172-A
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 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.