Statistical distribution of the Wigner-Smith time-delay matrix moments   for chaotic cavities
  We derive the joint distribution of the moments $\mathrm{Tr}\, Q^{\kappa}$ ($\kappa\geq0$) of the Wigner-Smith matrix for a chaotic cavity supporting a large number of scattering channels $n$. This distribution turns out to be asymptotically Gaussian, and we compute explicitly averages and covariances. The results are in a compact form and have been verified numerically. The general methodology of proof and computations has a wide range of applications. 
Fabio Deelan Cunden
cond-mat.mes-hall cond-mat.stat-mech math-ph math.MP nlin.CD