Relaxation properties of weakly coupled classical systems |
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Authors: | Victor Romero-Rochin Irwin Oppenheim |
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Institution: | (1) Department of Chemistry, Massachusetts Institute of Technology, 02139 Cambridge, Massachusetts |
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Abstract: | The relaxation properties of a small classical system weakly coupled to a large classical system which acts as a heat bath are described using a generalized Fokker-Planck equation. The Fokker-Planck equation is derived in general using a modification of the elimination of fast variables techniques previously described. The specific example in which the small system is a harmonic oscillator linearly coupled to the heat bath is treated in detail and it is demonstrated that there is a dynamic frequency shift as well as a statistical shift of the oscillator frequency. |
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Keywords: | Relaxation weak coupling Fokker-Planck equation |
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