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 lon est 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.
Titolo: | Cluster approximation for Ising spin glasses |
Autori: | |
Data di pubblicazione: | 1998 |
Rivista: | |
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 lon est 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. |
Handle: | http://hdl.handle.net/11697/2455 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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