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Brownian MotionFluctuations, Dynamics, and Applications$
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Robert M. Mazo

Print publication date: 2008

Print ISBN-13: 9780199556441

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199556441.001.0001

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Brownian Motion

Robert M. Mazo

Oxford University Press

This chapter discusses several configuration space aspects of Brownian motion, in particular, problems related to diffusion. The Smoluchowski theory of diffusion controlled chemical reactions is presented. The effect of long range forces between reacting particles is introduced. It is shown that essentially the same theory applies to the coagulation and growth of colloids. Taylor diffusion, the effect of a longitudinal flow on transverse diffusion is discussed by the method of elimination of fast variables.

Keywords:   diffusion, diffusion control, Smoluchowski theory of diffusion, Debye, Taylor diffusion, colloids, coagulation, variables

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