Ballistic dynamics of a convex smooth-wall billiard with finite escape rate along the boundary

Igor Rozhkov, Ganpathy Murthy

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We focus on the problem of an impurity-free billiard with a random position-dependent boundary coupling to the environment. The response functions of such an open system can be obtained non-perturbatively from a supersymmetric generating functional. The derivation of this functional is based on averaging over the escape rates and results in a nonlinear ballistic σ-model, characterized by system-specific parameters. Particular emphasis is placed on the 'whispering gallery modes' as the origin of surface diffusion modes in the limit of large dimensionless conductance.

Original languageEnglish
Pages (from-to)10843-10857
Number of pages15
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number49
DOIs
StatePublished - Dec 9 2005

ASJC Scopus subject areas

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

Fingerprint

Dive into the research topics of 'Ballistic dynamics of a convex smooth-wall billiard with finite escape rate along the boundary'. Together they form a unique fingerprint.

Cite this