Numéro
J. Phys. IV France
Volume 08, Numéro PR6, October 1998
International Conference on Disorder and Chaos in honour of Giovanni Paladin
Page(s) Pr6-75 - Pr6-79
DOI https://doi.org/10.1051/jp4:1998609
International Conference on Disorder and Chaos in honour of Giovanni Paladin

J. Phys. IV France 08 (1998) Pr6-75-Pr6-79

DOI: 10.1051/jp4:1998609

Cluster approximation for Ising spin glasses

R. Baviera1, 2, M. Pasquini3, 2 and M. Serva3, 2

1  Dipartimento di Fisica, Università dell'Aquila, 67010 Coppito, L'Aquila, Italy
2  Istituto Nazionale Fisica della Materia, Università dell'Aquila, 67010 Coppito, L'Aquila, Italy
3  Dipartimento di Matematica, Università dell'Aquila, 67010 Coppito, L'Aquila, Italy


Abstract
We report about a new variational method [9] which approximates in a hierarchical way the random Ising spin glass on lattice in d dimensions. At the lowest level our approximation coincides with the Sherrington-Kirkpatrick model, while at the highest level it coincides with the true d-dimensional system. The attention is focused on finite size clusters of spins where the action of the rest of the system is taken into account by a coupling field, which is the variational parameter of the problem.



© EDP Sciences 1998