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- W2017752106 abstract "The random walk of a particle in a one-dimensional random medium is examined by means of the equivalent transfer rates technique, in the discrete as well as in the continuous version of the model. The probability distributions of the (energy-dependent) equivalent transfer rates are found analytically, either by a matching procedure (in the discrete case) or exactly (in the continuous model). Both discrete and continuous models are shown to belong to the same universality class. The average probability of presence of the particle at its initial point is then computed. For a non-zero global bias, it decreases at large times according to a negative power-law with an exponent depending on disorder and bias; when there is no global bias (Sinai's model) the decay at large times follows a logarithmic law." @default.
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- W2017752106 date "1990-03-01" @default.
- W2017752106 modified "2023-09-27" @default.
- W2017752106 title "Random walk in a one-dimensional random medium" @default.
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- W2017752106 doi "https://doi.org/10.1016/0378-4371(91)90101-h" @default.
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