Derivation of the Boltzmann equation for a Fermi gas |
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Authors: | N. M. Hugenholtz |
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Affiliation: | 1. Institut für Theoretische Physik, Technische Hochschule Aachen, Germany 2. Fakult?t für Physik, Ludwig-Maximilians-Universit?t München, Germany
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Abstract: | Point scatterers are placed on the real line such that the distances between scatterers are independent identically distributed random variables (stationary renewal process). For a fixed configuration of scatterers a particle performs the following random walk: The particle starts at the pointx with velocityυ, ¦υ¦=1. In between scatterers the particle moves freely. At a scatterer the particle is either transmitted or reflected, both with probability 1/2. For given initial conditions of the particle the velocity autocorrelation function is a random variable on the scatterer configurations. If this variable is averaged over the distribution of scatterers, it decays not faster thant ?3/2. |
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