Rate of energy absorption for a driven chaotic cavity

We consider the response of a chaotic cavity in d dimensions to periodic dr iving. 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 pot ential, we introduce an improved version of the wall formula. Our formulati on takes into account that a special class of deformations causes no heatin g in the zero-frequency limit. We also derive a mesoscopic version of the D rude formula, and explain that it can be regarded as a special example of o ur calculations. Specifically we consider a quantum dot driven by an electr o-motive force which is induced by a time-dependent homogeneous magnetic fi eld.