Electronic Resource
Springer
The European physical journal
20 (2001), S. 217-233
ISSN:
1434-6036
Keywords:
PACS. 75.10.Nr Spin-glass and other random models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution have been confined to some perturbative regimes, high connectivity lattices or temperature close to the critical temperature. Using the cavity method, we propose a general non perturbative solution of the Bethe lattice spin glass problem at a level of approximation which is equivalent to a one step replica symmetry breaking solution. The results compare well with numerical simulations. The method can be used for many finite connectivity problems appearing in combinatorial optimization.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00011099
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