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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Palmeri, J. Exact solutions to the time-dependent Lorentz gas Boltzmann Equation: The approach to hydrodynamics. J Stat Phys 58, 885–921 (1990). https://doi.org/10.1007/BF01026556
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DOI: https://doi.org/10.1007/BF01026556