Statistical fluctuations of the parametric derivative of the transmission and reflection coefficients in absorbing chaotic cavities

M. Martinez-Mares

Published 2004-10-28, updated 2005-10-27Version 2

Motivated by recent theoretical and experimental works, we study the statistical fluctuations of the parametric derivative of the transmission T and reflection R coefficients in ballistic chaotic cavities in the presence of absorption. Analytical results for the variance of the parametric derivative of T and R, with and without time-reversal symmetry, are obtained for both asymmetric and left-right symmetric cavities. These results are valid for arbitrary number of channels, in completely agreement with the one channel case in the absence of absorption studied in the literature.