THE REPLICA-SYMMETRICAL SOLUTION WITHOUT REPLICA TRICK FOR THE HOPFIELD MODEL

Authors
PASTUR L SHCHERBINA M TIROZZI B
Citation
L. Pastur et al., THE REPLICA-SYMMETRICAL SOLUTION WITHOUT REPLICA TRICK FOR THE HOPFIELD MODEL, Journal of statistical physics, 74(5-6), 1994, pp. 1161-1183
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
74
Issue
5-6
Year of publication
1994
Pages
1161 - 1183
Database
ISI
SICI code
0022-4715(1994)74:5-6<1161:TRSWRT>2.0.ZU;2-U
Abstract
We derive the saddle-point equations for the order parameters of the H opfield model in the case of replica symmetry without using the replic a trick, but assuming that the Edwards-Anderson parameter is a self-av eraging quantity.