Sanov results for Glauber spin-glass dynamics |
| |
Authors: | M Grunwald |
| |
Institution: | Fachbereich Mathematik, Technische Universit?t Berlin, D-10623 Berlin (e-mail: grunwald@math.tu-berlin.de), DE
|
| |
Abstract: | Summary. In this paper we prove a Sanov result, i.e. a Large Deviation Principle (LDP) for the distribution of the empirical measure, for the annealed Glauber dynamics of the Sherrington-Kirkpatrick spin-glass.
Without restrictions on time or temperature we prove a full LDP for the asymmetric dynamics and the crucial upper large deviations
bound for the symmetric dynamics. In the symmetric model a new order-parameter arises corresponding to the response function
in SoZi83]. In the asymmetric case we show that the corresponding rate function has a unique minimum, given as the solution
of a self-consistent equation. The key argument used in the proofs is a general result for mixing of what is known as Large
Deviation Systems (LDS) with measures obeying an independent LDP.
Received: 18 May 1995 / In revised form: 14 March 1996 |
| |
Keywords: | Mathematics Subject Classification (1991): 60F10 60H10 60K35 82C22 82C31 82C44 |
本文献已被 SpringerLink 等数据库收录! |
|