scholarly journals Replica symmetry breaking in mean-field spin glasses through the Hamilton–Jacobi technique

2010 ◽  
Vol 2010 (09) ◽  
pp. P09006 ◽  
Author(s):  
Adriano Barra ◽  
Aldo Di Biasio ◽  
Francesco Guerra
Keyword(s):  
Symmetry Breaking ◽  
Spin Glasses ◽  
Mean Field ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Mean Field Spin Glasses

The Infinite-Range Spin Glass

2013 ◽  
Author(s):  
Daniel L. Stein ◽  
Charles M. Newman
Keyword(s):  
Symmetry Breaking ◽  
Spin Glass ◽  
Spin Glasses ◽  
Mean Field Theory ◽  
Mean Field ◽  
Replica Symmetry ◽  
Replica Symmetry Breaking ◽  
Glass Model ◽  
Kirkpatrick Model ◽  
Technical Details

This chapter introduces mean field theory, both as a general class of models and in its specific incarnation in spin glasses, the Sherrington–Kirkpatrick model. This is undoubtedly the most theoretically studied spin glass model by far, and the best understood. For the nonphysicist the going may get a little heavy in this chapter once replica symmetry breaking is introduced, with its attendant features of many states, non-self-averaging, and ultrametricity—but an attempt is made to define and explain what all of these things mean and why replica symmetry breaking represents such a radical departure from more conventional and familiar modes of symmetry breaking. While this is a central part of the story of spin glasses proper, the nonphysicist who wants to skip the technical details can safely omit certain sections in the chapter and continue on without losing the essential thread of the discussion that follows.

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
Sign in / Sign up

Export Citation Format

Share Document