Rate of energy absorption for a driven chaotic cavity

Details Rate of energy absorption for a driven chaotic cavity Rate of energy absorption for a driven chaotic cavity

2000-06-23

arxiv.org/abs/nlin/0006041v2

J.Phys.A34:413-438,2001

Nonlinear Sciences

Chaotic Dynamics

24 pages, 15 figures, mesoscopic Drude section much improved, to be published in J. Phys. A

Scientific paper

10.1088/0305-4470/34/3/308

We consider the response of a chaotic cavity in d dimensions to periodic driving. We are motivated by older studies of one-body dissipation in nuclei, and also by anticipated mesoscopic applications. For calculating the rate of energy absorption due to time-dependent deformation of the confining potential, we introduce an improved version of the wall formula. Our formulation takes into account that a special class of deformations causes no heating in the zero-frequency limit. We also derive a mesoscopic version of the Drude formula, and explain that it can be regarded as a special example of our calculations. Specifically we consider a quantum dot driven by electro-motive force which is induced by a time-dependent homogeneous magnetic field.

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