Simple Brownian Diffusion

£72.99

Simple Brownian Diffusion

An Introduction to the Standard Theoretical Models

Statistical physics Mathematical physics Biophysics Chemical physics Physical chemistry

Authors: Daniel Thomas Gillespie, Effrosyni Seitaridou

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Language: English

Published by: OUP Oxford

Published on: 18th October 2012

Format: LCP-protected ePub

Size: 34 Mb

ISBN: 9780191641534


Brownian diffusion

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 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. Two self-contained tutorial chapters

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