scholarly journals Phase diagram and large deviations in the free energy of mean-field spin glasses

2009 ◽  
Vol 79 (13) ◽  
Author(s):  
Giorgio Parisi ◽  
Tommaso Rizzo
Keyword(s):  
Phase Diagram ◽  
Free Energy ◽  
Large Deviations ◽  
Spin Glasses ◽  
Mean Field ◽  
Mean Field Spin Glasses

scholarly journals Remarks on the Interpolation Method

2020 ◽  
Vol 181 (4) ◽  
pp. 1218-1238
Author(s):  
Roberto Boccagna ◽  
Davide Gabrielli
Keyword(s):  
Free Energy ◽  
Thermodynamic Limit ◽  
Spin Glasses ◽  
Interpolation Method ◽  
Mean Field ◽  
Random Variables ◽  
Gaussian Random Variables ◽  
Mean Field Spin Glasses

Abstract We discuss a generalization of the classic condition of validity of the interpolation method for the density of quenched free energy of mean field spin glasses. The condition is written just in terms of the $$L^2$$ L 2 metric structure of the Gaussian random variables. As an example of application we deduce the existence of the thermodynamic limit for a GREM model with infinite branches for which the classic conditions of validity fail. We underline the dependence of the density of quenched free energy just on the metric structure and discuss the models from a metric viewpoint.

scholarly journals Universality of the REM for Dynamics of Mean-Field Spin Glasses

2008 ◽  
Vol 282 (3) ◽  
pp. 663-695 ◽  
Author(s):  
Gérard Ben Arous ◽  
Anton Bovier ◽  
Jiří Černý
Keyword(s):  
Spin Glasses ◽  
Mean Field ◽  
Mean Field Spin Glasses
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