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Kinetic theory in the weak-coupling approximation

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  • Tzanakis, C.

Abstract

The kinetic theory of open classical systems in the weak-coupling approximation presented in a previous paper (paper I), is extended here to a wider class of systems so that it is applicable when the Liouville operator of the open system has a continuous spectrum. It is applied (i) to an anharmonic-oscillator and (ii) to a free test-particle model, thus leading to a generalization of the conventionally used linearized Landau equation. Problems related to the divergences that appear when the kinetic equations, obtained by the formalism of paper I, are considered in the limit of a continuous spectrum of the open system's Liouville operator are also discussed.

Suggested Citation

  • Tzanakis, C., 1991. "Kinetic theory in the weak-coupling approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(3), pages 531-552.
    • Handle: RePEc:eee:phsmap:v:179:y:1991:i:3:p:531-552
    DOI: 10.1016/0378-4371(91)90092-Q
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