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Scaling of the Memory Function and Brownian Motion

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2004
American Institute of Physics Melville, NY

The journal of chemical physics 120, 1667 - 1669 () [10.1063/1.1642599]

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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


Note: Record converted from VDB: 12.11.2012

Contributing Institute(s):
  1. Zentralinstitut für Angewandte Mathematik (ZAM)
Research Program(s):
  1. Betrieb und Weiterentwicklung des Höchstleistungsrechners (I03)

Appears in the scientific report 2004
Notes: This version is available at the following Publisher URL: http://jcp.aip.org
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 Record created 2012-11-13, last modified 2020-04-23


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