Simple Brownian diffusion: an introduction to the standard theoretical models
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Oxford
Oxford University Press
2012
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Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | 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 |
Beschreibung: | 1 Online-Ressource |
ISBN: | 0191641529 019174851X 0199664501 1283689146 9780191641527 9780191748516 9780199664504 9781283689144 |
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500 | |a 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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Datensatz im Suchindex
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author | Gillespie, Daniel T. |
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discipline | Physik |
format | Electronic eBook |
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spelling | Gillespie, Daniel T. Verfasser aut Simple Brownian diffusion an introduction to the standard theoretical models by Daniel Thomas Gillespie, Effrosyni Seitaridou Oxford Oxford University Press 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier 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 SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh Brownian motion processes fast Brownian motion processes Brownsche Bewegung (DE-588)4128328-4 gnd rswk-swf Diffusion (DE-588)4012277-3 gnd rswk-swf Brownsche Bewegung (DE-588)4128328-4 s Diffusion (DE-588)4012277-3 s 1\p DE-604 Seitaridou, Effrosyni Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=493723 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Gillespie, Daniel T. Simple Brownian diffusion an introduction to the standard theoretical models SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh Brownian motion processes fast Brownian motion processes Brownsche Bewegung (DE-588)4128328-4 gnd Diffusion (DE-588)4012277-3 gnd |
subject_GND | (DE-588)4128328-4 (DE-588)4012277-3 |
title | Simple Brownian diffusion an introduction to the standard theoretical models |
title_auth | Simple Brownian diffusion an introduction to the standard theoretical models |
title_exact_search | Simple Brownian diffusion an introduction to the standard theoretical models |
title_full | Simple Brownian diffusion an introduction to the standard theoretical models by Daniel Thomas Gillespie, Effrosyni Seitaridou |
title_fullStr | Simple Brownian diffusion an introduction to the standard theoretical models by Daniel Thomas Gillespie, Effrosyni Seitaridou |
title_full_unstemmed | Simple Brownian diffusion an introduction to the standard theoretical models by Daniel Thomas Gillespie, Effrosyni Seitaridou |
title_short | Simple Brownian diffusion |
title_sort | simple brownian diffusion an introduction to the standard theoretical models |
title_sub | an introduction to the standard theoretical models |
topic | SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh Brownian motion processes fast Brownian motion processes Brownsche Bewegung (DE-588)4128328-4 gnd Diffusion (DE-588)4012277-3 gnd |
topic_facet | SCIENCE / Energy SCIENCE / Mechanics / General SCIENCE / Physics / General Brownian motion processes Brownsche Bewegung Diffusion |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=493723 |
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