title: Wigner time-delay distribution in chaotic cavities and freezing transition.
abstract: Using the joint distribution for proper time delays of a chaotic cavity derived by Brouwer, Frahm, and Beenakker [Phys. Rev. Lett. 78, 4737 (1997)], we obtain, in the limit of the 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.
authors.affiliation: Université Paris Sud, CNRS, LPTMS, UMR 8626, Bâtiment 100, Orsay F-91405, France.
authors.forename: Christophe
authors.initials: C
authors.lastname: Texier
authors.forename: Satya N
authors.initials: SN
authors.lastname: Majumdar