Normal Transport Properties in a Metastable Stationary State for a Classical Particle Coupled to a Non-Ohmic Bath |
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Authors: | P Lafitte P E Parris S De Bièvre |
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Institution: | (1) Laboratoire Paul Painlevé, CNRS, UMR 8524 et UFR de Mathématiques, Université des Sciences et Technologies de Lille, 59655 Villeneuve d’Ascq Cedex, France;(2) Equipe-Projet SIMPAF, Centre de Recherche INRIA Futurs, Parc Scientifique de la Haute Borne, 40, avenue Halley, B.P. 70478, 59658 Villeneuve d’Ascq Cedex, France;(3) Department of Physics, Missouri University of Science and Technology, Rolla, MO 65409, USA |
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Abstract: | We study the Hamiltonian motion of an ensemble of unconfined classical particles driven by an external field F through a translationally-invariant, thermal array of monochromatic Einstein oscillators. The system does not sustain a stationary state, because the oscillators cannot effectively absorb the
energy of high speed particles. We nonetheless show that the system has at all positive temperatures a well-defined low-field
mobility μ over macroscopic time scales of order exp (c/F), during which it finds itself in a metastable stationary state. The mobility is independent of F at low fields, and related to the zero-field diffusion constant D through the Einstein relation. The system therefore exhibits normal transport even though the bath obviously has a discrete
frequency spectrum (it is simply monochromatic) and is therefore highly non-Ohmic. Such features are usually associated with
anomalous transport properties. |
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Keywords: | Normal transport Inelastic Lorentz gas Diffusion Mobility |
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