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- W2018323592 abstract "The asymmetric diffusion of a particle in a random one-dimensional medium can be described by a model of random potential with positive spectrum closely linked to supersymmetric quantum mechanics. We obtain analytical expressions for the density of states ρ(ε) (inverse relaxation time spectrum). This allows us to compute the averaged probability of return at any time. At zero energy ρ(ε) exhibits a variety of singular behaviours with a continuously varying exponent. This corresponds to the different phases of the diffusion problem at large time, including Sinaï's behaviour ⟨x2(t)⟩ = C ln4t. The validity of the dynamical-scaling assumption is discussed." @default.
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- W2018323592 date "1987-03-15" @default.
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- W2018323592 title "The Relaxation-Time Spectrum of Diffusion in a One-Dimensional Random Medium: an Exactly Solvable Case" @default.
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- W2018323592 doi "https://doi.org/10.1209/0295-5075/3/6/002" @default.
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