Bulletin of the American Physical Society
2005 APS March Meeting
Monday–Friday, March 21–25, 2005; Los Angeles, CA
Session R1: Poster Session III
Wednesday, March 23, 2005
LACC Room: Exhibit Hall 1:00-4:00pm
Abstract ID: BAPS.2005.MAR.R1.198
Abstract: R1.00198 : Relaxation of the general solution for Richardson-Gaudin models
Preview Abstract Abstract
The algebro-geometric solution for the reduced BCS model describing small superconducting Al grains is investigated. The solution is derived using methods from the theory of integrable systems. Fluctuations of the spectrum induced by stochastic external fields are considered in the framework of random matrix theory. Incorporating the effects of these fluctuation through the averaging principle leads to a modified evolution equation, in general not integrable. Estimates for the relaxation time for the soliton-type solutions of Richardson- Gaudin models are computed.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.MAR.R1.198
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