Wigner Time-Delay Distribution in Chaotic Cavities and Freezing Transition

被引：64
|
作者：
Texier, Christophe [1 ,2 ]
Majumdar, Satya N. [1 ]
机构：
[1] Univ Paris 11, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France
[2] Univ Paris 11, CNRS, LPS, UMR 8502, F-91405 Orsay, France
来源：
PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 25期
关键词：
STATISTICAL THEORY; ENERGY LEVELS; PHASE-SHIFTS; PARAMETRIC CORRELATIONS; MATRIX; SCATTERING; FLUCTUATIONS; RESONANCES;
D O I：
10.1103/PhysRevLett.110.250602
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：5
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