Diffusion and reaction in random media and models of evolution processes
type: Item
instance of: scholarly article
title: Diffusion and reaction in random media and models of evolution processes
zbMATH Open document ID: 0587.60079
DOI: 10.1007/BF01011839
author: B. Esser
author: Werner Ebeling
author: Andreas Engel
author: Rainer Feistel
published in: Journal of Statistical Physics
publication date: 1984-01-01T00:00:00Z
review text: A diffusion equation including source terms, representing randomly distributed sources and sinks is considered. For quasilinear growth rates the eigenvalue problem is equivalent to that of the quantum mechanical motion of electrons in random fields. Correspondingly there exist localized and extended density distributions dependent on the statistics of the random field and on the dimension of the space. Besides applications in physics (nonequilibrium processes in pumped disordered solid materials) a new evolution model is discussed which considers evolution as hill climbing in a random landscape.
Mathematics Subject Classification ID: 60J70
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 3942664
zbMATH Keywords: localization
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: quantum mechanical motion of electrons in random fields
MaRDI profile type: Publication
cites work: Spectral properties of disordered systems in the one-body approximation
full work available at URL: https://doi.org/10.1007/bf01011839
OpenAlex ID: W2000088311
description: scientific article; zbMATH DE number 3942664