An age-dependent approach to random walks on disordered lattices |
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Authors: | M O Vlad Amalia Pop |
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Institution: | (1) CIM Bucure ti, C suta po tal 77-49, Bucure ti, Romania;(2) IFIN, Bucure ti-M gurele, POB 5206, M gurele, Romania |
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Abstract: | We derive a new approach for the stochastic transport in random systems, starting from a phenomenological master equation with random transition rates. Our method combines the effective medium approximation with age-dependent dynamics. Within the framework of our approximation, the static disorder may be described by means of a system of age-dependent master equations. For translationally invariant systems which obey certain separability conditions, the approach is equivalent with the continuous time random walk theory. Moreover, for self-avoiding random walks our effective medium approximation is exact. For non self-avoiding random walks, the approximation neglects the correlations between successive transitions leading to closed paths on the lattice. |
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