## Abstract

The authors study the problem of transport in linear random resistor-superconductor mixtures with a random distribution of resistor strength. The superconductors with a concentration p are represented in the model as short circuits. The resistor concentration is (1-p) and their conductivity distribution is p( sigma ) approximately sigma ^{- alpha}, alpha <1. They find that for alpha >0 the specific conductivity scales with the linear size L of the system as L^{- alpha}(1- alpha )/(1-p)^{-1}(1- alpha )/. The mean square displacement (x^{2}) of a random walker in this system scales as (x^{2}) ^{(2- alpha )}(1- alpha/2 ) approximately (1-p) ^{-(2- alpha )}(1- alpha )/t. In the presence of a bias field they obtain (x)^{1}(1- alpha )/ approximately (1-p)^{-1}(1- alpha )/t. They present an exact enumeration method to study diffusion on those systems. The numerical results confirm the above scaling relations.

Original language | English |
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Article number | 002 |

Pages (from-to) | L419-L423 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 19 |

Issue number | 8 |

DOIs | |

State | Published - 1986 |