Constrained annealing for spin glasses

Details Constrained annealing for spin glasses Constrained annealing for spin glasses

1994-12-09

arxiv.org/abs/cond-mat/9412046v1

Physics

Condensed Matter

plane TeX file,24 pages. 6 figures may be requested to Paladin at vxscaq.aquila.infn.it

Scientific paper

10.1051/jp1:1995130

The quenched free energy of spin glasses is estimated by means of annealed averages where the frustration is constrained to its average value. We discuss the case of d-dimensional Ising models with random nearest neighbour coupling, and we introduce a new method to obtain constrained annealed averages without recurring to Lagrange multipliers. It requires to perform quenched averages either on small volumes in an analytic way, or on finite size strips via products of random transfer matrices. We thus give a sequence of converging lower bounds for the quenched free energy of 2d spin glasses.

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