Collision brackets in quantum kinetic theory
Ch.J. Calkoen and
Ch.G. van Weert
Physica A: Statistical Mechanics and its Applications, 1986, vol. 135, issue 2, 370-387
Abstract:
The method for reducing collision brackets, developed in a previous paper, is applied to a hot classical plasma, a highly degenerate plasma, and a neutrino-nucleus system as a particular example of a Lorentz model. Various known results are rederived from a unified point of view, and generalized relativistically. In particular the quantum-mechanical Balescu-Guernsey-Lenard (BGL) bracket is studied and reduced to a twofold collision integral. With regards to degenerate systems, the method is shown to be superior to the standard phase-space decomposition (PSD) approximation to the extent that the first finite-temperature contribution, which may be substantial, is furnished correctly. For a statistically screened interaction this is corroborated by numerical calculation of the exact fourfold integral expression for the collision bracket, which appears to be well suited for integration by the Monte Carlo routine VEGAS.
Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:135:y:1986:i:2:p:370-387
DOI: 10.1016/0378-4371(86)90149-4
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