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 language | English |
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Pages (from-to) | 10843-10857 |
Number of pages | 15 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 38 |
Issue number | 49 |
DOIs | |
State | Published - Dec 9 2005 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy