ON THE REPLICA SYMMETRICAL SOLUTION FOR THE SHERRINGTON-KIRKPATRICK MODEL

Authors
Citation
M. Shcherbina, ON THE REPLICA SYMMETRICAL SOLUTION FOR THE SHERRINGTON-KIRKPATRICK MODEL, Helvetica Physica Acta, 70(6), 1997, pp. 838-853
Citations number
20
Categorie Soggetti
Physics
Journal title
ISSN journal
00180238
Volume
70
Issue
6
Year of publication
1997
Pages
838 - 853
Database
ISI
SICI code
0018-0238(1997)70:6<838:OTRSSF>2.0.ZU;2-N
Abstract
We prove that replica symmetric equations for the free energy and Edwa rds-Anderson order parameter for the Sherrington-Kirkpatrick model wit h Gaussian magnetic field hold above some line on the T-h plane. This line coincides with AT-line at the point h=0 and behaves similarly as T-->0.