Dynamics in the Sherrington-Kirkpatrick Ising spin glass at and above Tg

Details Dynamics in the Sherrington-Kirkpatrick Ising spin glass at and above Tg Dynamics in the Sherrington-Kirkpatrick Ising spin glass at and above Tg

2011-05-10

arxiv.org/abs/1105.1902v3

Phys.Rev.B 84 (2011) 054442

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 7 figures

Scientific paper

A detailed numerical study is made of relaxation at equilibrium in the Sherrington-Kirkpatrick Ising spin glass model, at and above the critical temperature Tg. The data show a long time stretched exponential relaxation q(t) ~ exp[-(t/tau(T))^beta(T)] with an exponent beta(T) tending to ~ 1/3 at Tg. The results are compared to those which were observed by Ogielski in the 3d ISG model, and are discussed in terms of a phase space percolation transition scenario.

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