| Numéro |
J. Phys. I France
Volume 3, Numéro 11, November 1993
|
|
|---|---|---|
| Page(s) | 2125 - 2130 | |
| DOI | https://doi.org/10.1051/jp1:1993235 | |
DOI: 10.1051/jp1:1993235
J. Phys. I France 3 (1993) 2125-2130A percolation explanation for the
Tane S. Ray and Naeem Jan
Department of Physics, Saint Francis Xavier UniversitY, Antigonish, Nova Scotia, B2G 1CO, Canada
© Les Editions de Physique 1993
J. Phys. I France 3 (1993) 2125-2130
A percolation explanation for the
J spin-glass critical temperature
Tane S. Ray and Naeem Jan Department of Physics, Saint Francis Xavier UniversitY, Antigonish, Nova Scotia, B2G 1CO, Canada
(Received 6 August 1993, accepted 16 August 1993)
Abstract
We present a simple procedure using invasion percolation for estimating the critical temperatures of the
J nearest neighbor spin glass in two, three and four dimensions. The critical temperatures are found to be 0, 1.35 and 2.0
in the square, cubic and four-dimensional hypercubic lattices, which agrees with standard numerical techniques. We also estimate
the critical temperature for the Sherrington-Kirkpatrick
J model with an analogous method which is in rough agreement with the exact calculations.
© Les Editions de Physique 1993