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Simple Brownian Diffusion : An Introduction to the Standard Theoretical Models,9780199664504
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Simple Brownian Diffusion : An Introduction to the Standard Theoretical Models

by ;
ISBN13:

9780199664504

ISBN10:
0199664501
Format:
Hardcover
Pub. Date:
12/12/2012
Publisher(s):
Oxford University Press, USA
List Price: $90.65

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Summary

Brownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian diffusion is one of the ways in which key reactant molecules move about inside a living cell. This bookfocuses on the four simplest models of Brownian diffusion: the classical Fickian model, the Einstein model, the discrete-stochastic (cell-jumping) model, and the Langevin model. The authors carefully develop the theories underlying these models, assess their relative advantages, and clarify their conditions of applicability. Special attention is given to the stochastic simulation of diffusion, and to showing how simulation can complement theory and experiment. Twoself-contained tutorial chapters, one on the mathematics of random variables and the other on the mathematics of continuous Markov processes (stochastic differential equations), make the book accessible to researchers from a broad spectrum of technical backgrounds.

Table of Contents

The Fickian theory of diffusion
A review of random variable theory
Einstein's theory of diffusion
Implications and limitations of the Einstein theory of diffusion
The discrete-stochastic approach
Master equations and simulation algorithms for the discrete-stochastic approach
Continuous Markov process theory
Langevin's theory of diffusion
Implications of Langevin's theory
Diffusion in an external force field
The first-passage time approach
Table of Contents provided by Publisher. All Rights Reserved.


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