The Resource Brownian Dynamics at Boundaries and Interfaces : In Physics, Chemistry, and Biology, by Zeev Schuss, (electronic resource)

Brownian Dynamics at Boundaries and Interfaces : In Physics, Chemistry, and Biology, by Zeev Schuss, (electronic resource)

Label
Brownian Dynamics at Boundaries and Interfaces : In Physics, Chemistry, and Biology
Title
Brownian Dynamics at Boundaries and Interfaces
Title remainder
In Physics, Chemistry, and Biology
Statement of responsibility
by Zeev Schuss
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Schuss, Zeev
Image bit depth
0
LC call number
  • QA273.A1-274.9
  • QA274-274.9
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Applied Mathematical Sciences,
Series volume
186
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations, partial
  • Distribution (Probability theory)
  • Mathematical physics
  • Mathematics
  • Probability Theory and Stochastic Processes
  • Partial Differential Equations
  • Mathematical Methods in Physics
  • Mathematical and Computational Biology
Label
Brownian Dynamics at Boundaries and Interfaces : In Physics, Chemistry, and Biology, by Zeev Schuss, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XX, 322 p. 45 illus., 9 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781461476870
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-7687-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-7687-0
Label
Brownian Dynamics at Boundaries and Interfaces : In Physics, Chemistry, and Biology, by Zeev Schuss, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XX, 322 p. 45 illus., 9 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781461476870
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-7687-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-7687-0

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