Statistical fluctuations of the parametric derivative of the transmission and reflection coefficients in absorbing chaotic cavities.
Motivated by recent theoretical and experimental works, we study the statistical fluctuations of the parametric derivative of the transmission T and reflection R coefficients, T/deltaX and R/deltaX, respectively, in ballistic chaotic cavities in the presence of absorption. Analytical results for the variance of T/deltaX and R/deltaX, with and without time-reversal symmetry, are obtained for asymmetric and left-right symmetric cavities. These results are valid for an arbitrary number of channels for strong absorption strength, in complete agreement with the results found in the literature in the absence of absorption. A simple extrapolation to any absorption strength is qualitatively correct.
Martínez-Mares
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Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina, 09340 México D. F., México.