Rate of energy absorption for a driven chaotic cavity
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0006041,
title = {Rate of energy absorption for a driven chaotic cavity},
author = {Alex Barnett and Doron Cohen and Eric J. Heller},
journal= {arXiv preprint arXiv:nlin/0006041},
year = {2008}
}
Comments
24 pages, 15 figures, mesoscopic Drude section much improved, to be published in J. Phys. A