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

Daniel Thomas Gillespie and Effrosyni Seitaridou

Abstract

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 book focuses 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 book carefully develops the theories underlying these models, assess their relative advantages, and clarify their condition ... More

Keywords: Brownian diffusion, molecules, Fickian model, Einstein model, discrete-stochastic, cell-jumping model, Langevin model, applicability, stochastic simulation, theory, random variables, continuous Markov processes, stochastic differential equations

Bibliographic Information

Print publication date: 2012 Print ISBN-13: 9780199664504
Published to Oxford Scholarship Online: January 2013 DOI:10.1093/acprof:oso/9780199664504.001.0001

Authors

Affiliations are at time of print publication.

Daniel Thomas Gillespie, author

Effrosyni Seitaridou, author

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