Stability of the Parisi solution for the SK spin glass model at low temperatures close to the critical surface

1983 ◽  
Vol 16 (10) ◽  
pp. L339-L342 ◽  
Author(s):  
A V Goltsev
Keyword(s):  
Spin Glass ◽  
Low Temperatures ◽  
Critical Surface ◽  
Spin Glass Model ◽  
Glass Model

Dynamic properties of a spin-glass model at low temperatures

1979 ◽  
Vol 20 (9) ◽  
pp. 3837-3849 ◽  
Author(s):  
Chandan Dasgupta ◽  
Shang-keng Ma ◽  
Chin-Kun Hu
Keyword(s):  
Spin Glass ◽  
Low Temperatures ◽  
Dynamic Properties ◽  
Spin Glass Model ◽  
Glass Model

scholarly journals An investigation of the hidden structure of states in a mean-field spin-glass model

1997 ◽  
Vol 30 (20) ◽  
pp. 7021-7038 ◽  
Author(s):  
Andrea Cavagna ◽  
Irene Giardina ◽  
Giorgio Parisi
Keyword(s):  
Spin Glass ◽  
Mean Field ◽  
Spin Glass Model ◽  
Glass Model

scholarly journals Some rigorous results on the Sherrington-Kirkpatrick spin glass model

1988 ◽  
Vol 116 (3) ◽  
pp. 527-527 ◽  
Author(s):  
M. Aizenman ◽  
J. L. Lebowitz ◽  
D. Ruelle
Keyword(s):  
Spin Glass ◽  
Spin Glass Model ◽  
Rigorous Results ◽  
Glass Model

Ground States, Energy Landscape, and Low-Temperature Dynamics of ± J Spin Glasses

2005 ◽  
Author(s):  
Sigismund Kobe ◽  
Jarek Krawczyk
Keyword(s):  
Ising Model ◽  
Spin Glass ◽  
Spin Glasses ◽  
Statistical Physics ◽  
Energy Landscape ◽  
Point Of View ◽  
Model Systems ◽  
Spin Glass Model ◽  
Glass Model ◽  
Physics Literature

The previous three chapters have focused on the analysis of computational problems using methods from statistical physics. This chapter largely takes the reverse approach. We turn to a problem from the physics literature, the spin glass, and use the branch-and-bound method from combinatorial optimization to analyze its energy landscape. The spin glass model is a prototype that combines questions of computational complexity from the mathematical point of view and of glassy behavior from the physical one. In general, the problem of finding the ground state, or minimal energy configuration, of such model systems belongs to the class of NP-hard tasks. The spin glass is defined using the language of the Ising model, the fundamental description of magnetism at the level of statistical mechanics. The Ising model contains a set of n spins, or binary variables si, each of which can take on the value up (si = 1) or down (si= 1).

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