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A review of random variable theory

Daniel T. Gillespie and Effrosyni Seitaridou

in Simple Brownian Diffusion: An Introduction to the Standard Theoretical Models

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199664504
eISBN:
9780191748516
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199664504.003.0002
Subject:
Physics, Soft Matter / Biological Physics

In extending the analysis of diffusion beyond the traditional approach described in Chapter 1, the chapter here finds it necessary to work with random variables. This chapter gives a self-contained, ... More


Implications of Langevin's theory

Daniel T. Gillespie and Effrosyni Seitaridou

in Simple Brownian Diffusion: An Introduction to the Standard Theoretical Models

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199664504
eISBN:
9780191748516
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199664504.003.0009
Subject:
Physics, Soft Matter / Biological Physics

This chapter develops the major implications of the Langevin theory of diffusion. The chapter begins by deriving Langevin's formula for the mean-squared displacement of a solute molecule. That ... More


Continuous-time random walks

J. Klafter and I.M. Sokolov

in First Steps in Random Walks: From Tools to Applications

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199234868
eISBN:
9780191775024
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199234868.003.0003
Subject:
Physics, Soft Matter / Biological Physics

Up to now the book has considered the displacement and the return properties of a walker as functions of the number of steps. In physics and chemistry we however are mostly interested in the behavior ... More


Liquid crystals

Masao Doi

in Soft Matter Physics

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199652952
eISBN:
9780191774942
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652952.003.0005
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Liquid crystal is a state of matter which has an intermediate order between liquids and crystals. While fluid in nature, the materials in liquid crystals posses an order in molecular orientation. As ... More


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