scholarly journals Complexity and line of critical points in a short-range spin-glass model

2000 ◽  
Vol 286 (1-2) ◽  
pp. 1-9
Author(s):  
M Campellone ◽  
F Ritort
Keyword(s):  
Spin Glass ◽  
Critical Points ◽  
Short Range ◽  
Spin Glass Model ◽  
Glass Model ◽  
Line Of Critical Points

Short-range spin-glass model with discrete bonds

1983 ◽  
Vol 27 (9) ◽  
pp. 5747-5760 ◽  
Author(s):  
Zs. Gulácsi ◽  
M. Gulácsi ◽  
M. Crişan
Keyword(s):  
Spin Glass ◽  
Short Range ◽  
Spin Glass Model ◽  
Glass Model

scholarly journals Spin-glass model with essential short-range competing interactions

2005 ◽  
Vol 8 (3) ◽  
pp. 603 ◽  
Author(s):  
Sorokov ◽  
Levitskii ◽  
Vdovych
Keyword(s):  
Spin Glass ◽  
Short Range ◽  
Spin Glass Model ◽  
Competing Interactions ◽  
Glass Model

scholarly journals ABOUT THE OVERLAP DISTRIBUTION IN MEAN FIELD SPIN GLASS MODELS

1996 ◽  
Vol 10 (13n14) ◽  
pp. 1675-1684 ◽  
Author(s):  
FRANCESCO GUERRA
Keyword(s):  
Spin Glass ◽  
Order Parameter ◽  
Short Range ◽  
Mean Field ◽  
Spin Glass Model ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Full Agreement ◽  
Rigorous Results ◽  
Glass Model

We continue our presentation of mathematically rigorous results about the Sherrington-Kirkpatrick mean field spin glass model. Here we establish some properties of the distribution of overlaps between real replicas. They are in full agreement with the Parisi accepted picture of spontaneous replica symmetry breaking. As a byproduct, we show that the self-averaging of the Edwards-Anderson fluctuating order parameter, with respect to the external quenched noise, implies that the overlap distribution is given by the Sherrington-Kirkpatrick replica symmetric Ansatz. This extends previous results of Pastur and Scherbina. Finally, we show how to generalize our results to realistic short range spin glass models.

Sign in / Sign up

Export Citation Format

Share Document