9780199664504

Simple Brownian Diffusion An Introduction to the Standard Theoretical Models

by ;
  • ISBN13:

    9780199664504

  • ISBN10:

    0199664501

  • Format: Hardcover
  • Copyright: 12/12/2012
  • Publisher: Oxford University Press
  • Purchase Benefits
  • Free Shipping On Orders Over $59!
    Your order must be $59 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • Get Rewarded for Ordering Your Textbooks! Enroll Now

Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
  • The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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.

Rewards Program

Write a Review