Wigner time-delay distribution in chaotic cavities and freezing transition

2013/02/28 by Christophe Texier, Satya N. Majumdar · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.110.250602

published as Phys. Rev. Lett. 110, 250602 (2013) · RevTeX, 5 pages, 3 pdf figures ; v2 : Refs. added ; v3 : correction of a small error in the large deviation function $Φ_+(s)$

arxiv created 2014/03/12 · arxiv updated 2014/03/14

Abstract

Using the joint distribution for proper time-delays of a chaotic cavity derived by Brouwer, Frahm & Beenakker [Phys. Rev. Lett. \bf 78, 4737 (1997)], we obtain, in the limit of large number of channels N, the large deviation function for the distribution of the Wigner time-delay (the sum of proper times) by a Coulomb gas method. We show that the existence of a power law tail originates from narrow resonance contributions, related to a (second order) freezing transition in the Coulomb gas.

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• Random Matrix Theory for Chaotic Wave Scattering and Transport

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