The Langcvin equation is derived by separating the velocity into a position-dependent component plus a fluctuating component with zero mean Thereby the Smoluchowski equation for diffusion with corrections up to O( l/b) is obtained, and an approximate closed equation for the mean value of the velocit
The diffusion equation for a mechanical system in the high-friction limit
β Scribed by M. Battezzati
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 487 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
classical mechanical system coupled to a heat reservoir through frictional forces is established. The explicit expressions for the diffusion coefficient and the drift velocity which were formulated in preceding articles are evaluated here by an expansion in inverse powers of the frictional constant up to fifth order. The results are consistent with those obtained in the literature by projection of the full Fokker-Planck equation in phase-space onto contiguration space.
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