We study link-diluted ±J Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with respect to temperature perturbations and do not belong to any critical line in the dilution-temperature plane. We discuss implications of the presence of such spurious unstable fixed points on the use of optimization algorithms, and we show how entropic effects should be taken into account to obtain the right physical behavior and critical points. © 2008 The American Physical Society.
Entropic effects in the very low temperature regime of diluted ising spin glasses with discrete couplings / Thomas, Jorg; RICCI TERSENGHI, Federico. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 100:17(2008), pp. 177203--. [10.1103/physrevlett.100.177203]
Entropic effects in the very low temperature regime of diluted ising spin glasses with discrete couplings
RICCI TERSENGHI, Federico
2008
Abstract
We study link-diluted ±J Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with respect to temperature perturbations and do not belong to any critical line in the dilution-temperature plane. We discuss implications of the presence of such spurious unstable fixed points on the use of optimization algorithms, and we show how entropic effects should be taken into account to obtain the right physical behavior and critical points. © 2008 The American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.