Brownian motion limit of random walks in symmetric non-homogeneous media

dc.creator	Marchetti Domingos H. U.
dc.creator	Silva Roberto da
dc.date	1999
dc.date.accessioned	2013-05-29T23:11:51Z
dc.date.available	2013-05-29T23:11:51Z
dc.date.issued	2013-05-30
dc.identifier	http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000300014
dc.identifier	http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1999&volume=29&issue=3&spage=492
dc.identifier.uri	http://koha.mediu.edu.my:8181/jspui/handle/123456789/2657
dc.description	The phenomenon of macroscopic homogenization is illustrated with a simple example of diffusion. We examine the conditions under which a d-dimensional simple random walk in a symmetric random media converges to a Brownian motion. For d = 1, both the macroscopic homogeneity condition and the diffusion coeficient can be read from an explicit expression for the Green's function. Except for this case, the two available formulas for the effective diffusion matrix kappa do not explicit show how macroscopic homogenization takes place. Using an electrostatic analogy due to Anshelevich, Khanin and Sinai [AKS], we discuss upper and lower bounds on the diffusion coeficient kappa for d >1.
dc.publisher	Sociedade Brasileira de Física
dc.source	Brazilian Journal of Physics
dc.title	Brownian motion limit of random walks in symmetric non-homogeneous media

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