عنوان

Brownian dynamics at boundaries and interfaces :

(Number (ISBN

1461476879 (electronic bk.)

(Number (ISBN

9781461476870 (electronic bk.)

Erroneous ISBN

9781461476863

Number

b431269

Title Proper

Brownian dynamics at boundaries and interfaces :

General Material Designation

[Book]

Other Title Information

in physics, chemistry, and biology /

First Statement of Responsibility

Zeev Schuss

Specific Material Designation and Extent of Item

1 online resource (xx, 322 pages) :

Other Physical Details

illustrations (some color)

Series Title

Applied mathematical sciences,

Volume Designation

volume 186

ISSN of Series

0066-5452 ;

Text of Note

Includes bibliographical references and index

Text of Note

The mathematical Brownian motion -- Euler simulation of Ito SDEs -- Simulation of the overdamped Langevin equation -- The first passage time of a diffusion process -- Chemical reaction in microdomains -- The stochastic separatrix -- Narrow escape in R² -- Narrow escape in R³

0

Text of Note

Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions of biological micro devices such as protein ionic channels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry, biophysics, computer science, communications theory, mathematical finance theory, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematical problems that neither the kinetic theory of Maxwell and Boltzmann, nor Einstein's and Langevin's theories of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition of mathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who are interested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout

Title

OhioLINK electronic book center (Online)

Title

SpringerLink

Brownian motion processes

MAT029000

PBT

PBWL

Number

Edition

Class number

Class number

Book number

Book number

Schuss, Zeev,1937-

Ohio Library and Information Network

Date of Transaction

20131202122227.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y