scholarly journals Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses

2004 ◽  
Vol 117 (5-6) ◽  
pp. 785-799 ◽  
Author(s):  
Luca De Sanctis
Keyword(s):  
Spin Glasses ◽  
Diluted Spin Glasses ◽  
Overlap Structures

scholarly journals Random overlap structures: properties and applications to spin glasses

2012 ◽  
Vol 156 (1-2) ◽  
pp. 375-413 ◽  
Author(s):  
Louis-Pierre Arguin ◽  
Sourav Chatterjee
Keyword(s):  
Spin Glasses ◽  
Overlap Structures

scholarly journals Simple relation between frustration and transition points in diluted spin glasses

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Ryoji Miyazaki ◽  
Yuta Kudo ◽  
Masayuki Ohzeki ◽  
Kazuyuki Tanaka
Keyword(s):  
Spin Glasses ◽  
Simple Relation ◽  
Transition Points ◽  
Diluted Spin Glasses

THE KAC LIMIT FOR DILUTED SPIN GLASSES

2004 ◽  
Vol 18 (04n05) ◽  
pp. 675-679 ◽  
Author(s):  
SILVIO FRANZ ◽  
FABIO LUCIO TONINELLI
Keyword(s):  
Free Energy ◽  
Finite Number ◽  
Spin Glasses ◽  
Arbitrary Dimension ◽  
Mean Field ◽  
Infinite Volume ◽  
Pairwise Interactions ◽  
The Mean ◽  
The One ◽  
Diluted Spin Glasses

We study diluted spin glass models in arbitrary dimension, where each spin interacts with a finite number of other spins chosen at random with a probability decaying to zero over some distance γ-1. For systems with pairwise interactions we show that the infinite-volume free energy converges to that of the mean-field Viana–Bray model,1 in the Kac limit γ→0. For p-spin like models we get only one bound: the free-energy is bounded from above by the one of the mean-field diluted p-spin.

scholarly journals Short-Range Spin Glasses and Random Overlap Structures

2011 ◽  
Vol 143 (2) ◽  
pp. 226-250 ◽  
Author(s):  
Louis-Pierre Arguin ◽  
Michael Damron
Keyword(s):  
Spin Glasses ◽  
Short Range ◽  
Overlap Structures

scholarly journals Exact Solutions for Diluted Spin Glasses and Optimization Problems

2001 ◽  
Vol 87 (12) ◽  
Author(s):  
Silvio Franz ◽  
Michele Leone ◽  
Federico Ricci-Tersenghi ◽  
Riccardo Zecchina
Keyword(s):  
Exact Solutions ◽  
Spin Glasses ◽  
Optimization Problems ◽  
Diluted Spin Glasses

Damage Spreading in ±J Asymmetric Ising Spin Glasses

1995 ◽  
Vol 5 (3) ◽  
pp. 355-364 ◽  
Author(s):  
R. M.C. de Almeida ◽  
L. Bernadi ◽  
I. A. Campbell
Keyword(s):  
Spin Glasses ◽  
Damage Spreading ◽  
Ising Spin
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