On the distribution of transmission eigenvalues in disordered wires

Abstract

We solve the Dorokhov-Mello-Pereyra-Kumar equation which describes the evolution of an ensamble of disordered wires of increasing length in the three cases β=1,2,4. The solution is obtained by mapping the problem in that of a suitable Calogero-Sutherland model. In the β=2 case our solution is in complete agreement with that recently found by Beenakker and Rejaei.

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