Local Spin Glass Order in 1D

Details Local Spin Glass Order in 1D Local Spin Glass Order in 1D

2006-04-19

arxiv.org/abs/cond-mat/0604448v2

Europhys. Lett. 75 No 3 (August 2006) 385-391

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1209/epl/i2006-10120-y

We study the behavior of one dimensional Kac spin glasses as function of the interaction range. We verify by Montecarlo numerical simulations the crossover from local mean field behavior to global paramagnetism. We investigate the behavior of correlations and find that in the low temperature phase correlations grow at a faster rate then the interaction range. We completely characterize the growth of correlations in the vicinity of the mean-field critical region.

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