Complex conjugate eigenvalues in the spectrum of an operator for resonant activation
Journal
Physical Review E
Journal Volume
83
Journal Issue
4
Pages
42101
Date Issued
2011
Author(s)
Klik, Ivo
Abstract
We consider the exit problem for an overdamped Brownian particle in a potential undergoing dichotomic fluctuations. The system exhibits resonant activation. We compute the corresponding exit times distribution and show that the resonance is associated with the presence of a finite number of complex conjugate eigenvalue pairs in the spectrum of the evolution equation. The properties of these eigenvalues and their influence on the exit times distribution and on the possible dynamics of the system are discussed in detail.
Type
journal article