Home > Publications database > Scaling of the Memory Function and Brownian Motion |
Journal Article | PreJuSER-42302 |
;
2004
American Institute of Physics
Melville, NY
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Please use a persistent id in citations: http://hdl.handle.net/2128/2224 doi:10.1063/1.1642599
Abstract: It has been recently shown that the velocity autocorrelation function of a tracer particle immersed in a simple liquid scales approximately with the inverse of its mass. With increasing mass the amplitude is systematically reduced and the velocity autocorrelation function tends to a slowly decaying exponential, which is characteristic for Brownian motion. We give here an analytical proof for this behavior and comment on the usual explanation for Brownian dynamics which is based on the assumption that the memory function is proportional to a Dirac distribution. We also derive conditions for Brownian dynamics of a tracer particle which are entirely based on properties of its memory function.
Keyword(s): J
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