INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461476870
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-58785
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Brownian Dynamics at Boundaries and Interface
General Material Designation
[Book]
Other Title Information
:In Physics, Chemistry, and Biology
First Statement of Responsibility
/ by Zeev Schuss
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY
Name of Publisher, Distributor, etc.
: Springer New York :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XX, 322 p. 45 illus., 9 illus. in color., online resource.
SERIES
Series Title
(Applied Mathematical Sciences,0066-5452
Volume Designation
; 186)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
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.
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.?╗╣
SERIES
Title
Applied Mathematical Sciences,0066-5452
Volume Number
186
TOPICAL NAME USED AS SUBJECT
Mathematics
Differential equations, partial
Distribution (Probability theory)
Mathematical physics
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Schuss, Zeev.
PERSONAL NAME - SECONDARY RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9781461476863.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9781461476863.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
