Einstein relation for random walks in random environments
Olla, Stefano; Komorowski, Tomasz (2005), Einstein relation for random walks in random environments, Stochastic Processes and their Applications, 115, 8, p. 1279-1301. http://dx.doi.org/10.1016/j.spa.2005.03.009
TypeArticle accepté pour publication ou publié
Journal nameStochastic Processes and their Applications
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Abstract (EN)We consider a tracer particle performing a nearest neighbor random walk on View the MathML source in dimension dgreater-or-equal, slanted3 with random jump rates. This kind of a walk models the motion of a charged particle under a constant external electric field. We assume that the jump rates admit only two values 0<γ-<γ+<+∞, representing the lower and upper conductivities. We prove the existence of the mobility coefficient and that it equals to the diffusivity coefficient of the particle in zero external field.
Subjects / KeywordsPassive tracer; Random walk in random environment; Einstein relation
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Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities Olla, Stefano; Simon, Marielle; Komorowski, Tomasz (2018) Article accepté pour publication ou publié