Exact solutions to the time-dependent Lorentz gas Boltzmann Equation: The approach to hydrodynamics |
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| Authors: | John Palmeri |
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| Affiliation: | (1) Department of Physics, University of Illinois at Urbana-Champaign, 61801 Urbana, Illinois;(2) Present address: CEA-CEN de Saclay, Service de Physique Théorique, F-91191 Gif-sur-Yvette Cedex, France |
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| Abstract: | New exact solutions to the time-dependent Lorentz gas Boltzmann equation are presented for two classes of nonequilibrium initial value problems: thedecay of localized disturbances and theresponse to applied electric fields. These exact results are used to gain some insight into the crossover of the nonequilibrium state from the early-timekinetic regime to the late-timehydrodynamic regime. |
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| Keywords: | Transport theory Lorentz gas time-dependent Boltzmann equation exact results |
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