ON THE PROBABILITY DISTRIBUTION OF THE OVERLAP IN SPIN GLASSES

2004 ◽  
Vol 18 (04n05) ◽  
pp. 733-743 ◽  
Author(s):  
GIORGIO PARISI
Keyword(s):  
Probability Distribution ◽  
Symmetry Breaking ◽  
Spin Glasses ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Rigorous Approach ◽  
Algebraic Properties ◽  
Replica Approach

In this paper we review the predictions of the replica approach on the probability distribution of the overlaps among replicas and on the sample to sample fluctuations of this probability. We stress the role of replica equivalence in obtaining relations that do not depend on the form of replica symmetry breaking. A comparison is done with the results obtained with a different rigorous approach. The role of the ultrametricity and of other algebraic properties in discussed.

scholarly journals Small window overlaps are effective probes of replica symmetry breaking in three-dimensional spin glasses

1998 ◽  
Vol 31 (26) ◽  
pp. L481-L487 ◽  
Author(s):  
Enzo Marinari ◽  
Giorgio Parisi ◽  
Federico Ricci-Tersenghi ◽  
Juan J Ruiz-Lorenzo
Keyword(s):  
Symmetry Breaking ◽  
Spin Glasses ◽  
Three Dimensional ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Small Window

scholarly journals Full versus first-stage replica symmetry breaking in spin glasses

2010 ◽  
Vol 82 (13) ◽  
Author(s):  
T. I. Schelkacheva ◽  
E. E. Tareyeva ◽  
N. M. Chtchelkatchev
Keyword(s):  
Symmetry Breaking ◽  
Spin Glasses ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking
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