The paper derives the exact distribution of the Wigner-Smith time-delay matrix for a chaotic cavity with arbitrary absorption and N channels, reducing large-N statistics to two coupled Coulomb gases.
Statistics of off-diagonal entries of Wigner $K$-matrix for chaotic wave systems with absorption
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Using the Random Matrix Theory approach we derive explicit distributions of the real and imaginary parts for off-diagonal entries of the Wigner reaction matrix $\mathbf{K}$ for wave chaotic scattering in systems with and without time-reversal invariance, in the presence of an arbitrary uniform absorption.
citation-role summary
background 1
citation-polarity summary
fields
math-ph 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Distribution of the Wigner-Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases
The paper derives the exact distribution of the Wigner-Smith time-delay matrix for a chaotic cavity with arbitrary absorption and N channels, reducing large-N statistics to two coupled Coulomb gases.