1997
DOI: 10.1103/physrevb.56.5897
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Theory of diffusion in finite random media with a dynamic boundary condition

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Cited by 20 publications
(6 citation statements)
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“…In Ref. [19], another extension of FEMA was carried out for periodically forced boundary conditions. In the present paper, we obtain, in the guidelines of the expansions developed in FEMA, the exact equations for MFPT and MRT and construct their solutions in the leading relevant order for small bias.…”
Section: Introductionmentioning
confidence: 99%
“…In Ref. [19], another extension of FEMA was carried out for periodically forced boundary conditions. In the present paper, we obtain, in the guidelines of the expansions developed in FEMA, the exact equations for MFPT and MRT and construct their solutions in the leading relevant order for small bias.…”
Section: Introductionmentioning
confidence: 99%
“…In order to calculate the average of the Green function G(z) we need to find its evolution equation, this can be done by using a projector operator technique, see for example [Hernandez et al, 1990a;Hernandez et al, 1990b;Cáceres et al, 1997;Cáceres, 2003Cáceres, , 2004. The average of G(z), i.e.…”
Section: Average Of the Green Functionmentioning
confidence: 99%
“…We will find it useful to define the quantities β k ≡ 1/w + j k , which we assume finite for all k ≥ 1. This class of disorder is known as weak disorder [21,22,23,24]. We also define a measure of the fluctuation of the disorder by F ≡ β 2 − β 2 1 /β 2 1 .…”
Section: Weak Biased Disordered Chainmentioning
confidence: 99%
“…A successful perturbative theory for survival statistics in disordered chains is the finite effective medium approximation (FEMA) [21]. Extensions of FEMA to biased media [22] and periodically forced boundary conditions [23] were presented. A unified framework for the FPT and RT statistics in finite disordered chains with bias was also presented by the authors in reference [24], where exact equations for the quantities averaged over disorder were obtained for both problems and its solutions up to first order in the bias parameter were constructed retaining the full dependence on the system's size and the initial condition.…”
Section: Introductionmentioning
confidence: 99%