Distribution function for classical and quantum systems far from thermal equilibrium |
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Authors: | H Haken |
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Institution: | 1. Institut für theoretische Physik der Universit?t Stuttgart, Deutschland 2. Laboratoire de Spectroscopie et d'Optique du Corps Solides, Strasbourg
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Abstract: | We consider a system composed of many subsystems which are coupled to individual reservoirs at different temperatures. We show how the solution of a many-dimensional Fokker-Planck equation may be reduced to a Fokker-Planck equation of dimensionn, wheren is the number of relevant constants of motion. We treat also a Fokker-Planck equation with continuously many variables and the time-dependent one. The usefulness of the present procedure to determine explicitly distribution functions is exhibited by several examples. If all temperatures are equal the Boltzman distribution function is obtained as a special case. Using the method of quantum-classical correspondence, the distribution function for quantum systems may be found. |
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