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28 March 2024
 
  » arxiv » nlin.CD/0006041

 Article overview


Rate of energy absorption for a driven chaotic cavity
Alex Barnett ; Doron Cohen ; Eric J. Heller ;
Date 24 Jun 2000
Journal J.Phys. A34 (2001) 413-438
Subject Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall nucl-th
AbstractWe 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.
Source arXiv, nlin.CD/0006041
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