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The diffusion equation for a classical mechanical system in a nonlinear force field: an improved treatment

โœ Scribed by M. Battezzati


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
439 KB
Volume
172
Category
Article
ISSN
0375-9601

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๐Ÿ“œ SIMILAR VOLUMES


The diffusion equation for a classical m
โœ M. Battezzati ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 452 KB

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

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โœ M. Battezzati ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 487 KB

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