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Simple Brownian Diffusion - An Introduction to the Standard Theoretical Models (Hardcover)
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Simple Brownian Diffusion - An Introduction to the Standard Theoretical Models (Hardcover)
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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, 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.
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