Rate of energy absorption by a closed ballistic ring

Doron Cohen, Tsampikos Kottos, Holger Schanz

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We make a distinction between the spectroscopic and the mesoscopic conductance of a closed ring. We show that the latter is not simply related to the Landauer conductance of the corresponding open system. A new ingredient in the theory is related to the non-universal structure of the perturbation matrix which is generic for quantum chaotic systems. These structures may create bottlenecks that suppress the diffusion in energy space, and hence the rate of energy absorption. The resulting effect is not merely quantitative: for a ring-dot system we find that a smaller Landauer conductance implies a smaller spectroscopic conductance, while the mesoscopic conductance increases. Our considerations open the way towards a realistic theory of dissipation in closed mesoscopic ballistic devices.

Original languageEnglish
Article number004
Pages (from-to)11755-11771
Number of pages17
JournalJournal of Physics A: Mathematical and General
Issue number38
StatePublished - 22 Sep 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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