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First Steps in Random Walks: From Tools to Applications

J. Klafter and I. M. Sokolov

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199234868
eISBN:
9780191775024
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199234868.001.0001
Subject:
Physics, Soft Matter / Biological Physics

The name “random walk” for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of “Nature”. The same ... More


Elementary Theory of the Interaction of Electromagnetic Fields with Dielectric Materials

Yuri Feldman, Paul Ben Ishai, Alexander Puzenko, and Valerică Raicu

in Dielectric Relaxation in Biological Systems: Physical Principles, Methods, and Applications

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199686513
eISBN:
9780191766398
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199686513.003.0002
Subject:
Physics, Soft Matter / Biological Physics

This chapter presents a brief introduction to the modern theory of dielectrics. The different polarization mechanisms in static and time-dependent fields are discussed and the complex dielectric ... More


Random walks on percolation structures

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/9780199234868.003.0010
Subject:
Physics, Soft Matter / Biological Physics

In this chapter another, experimentally widespread, situation is considered. The random walk takes place not on a homogeneous lattice, where each site in principle accessible to the walker, but on a ... More


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