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Diffusion and reaction in random media and models of evolution processes (1984)

Ebeling, W. ; Engel, A. ; Esser, B. ; [et al.]

Springer

Journal of statistical physics 37 (1984), S. 369-384

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ISSN: 1572-9613

Keywords: Diffusion ; disordered structures ; evolution ; localization ; random processes

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01011839

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