Spin-glass model with partially annealed asymmetric bonds

Details Spin-glass model with partially annealed asymmetric bonds Spin-glass model with partially annealed asymmetric bonds

1998-09-11

arxiv.org/abs/cond-mat/9809170v1

Phys. Rev. E 58 (1998) October

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, latex

Scientific paper

10.1103/PhysRevE.58.R5201

We have considered the two-spin interaction spherical spin-glass model with asymmetric bonds (coupling constants). Besides the usual interactions between spins and bonds and between the spins and a thermostat with temperature $T_{\sigma}$ there is also an additional factor: the bonds are not assumed random {\it a priori} but interact with some other thermostat at the temperature $T_{J}$. We show that when the bonds are frozen with respect to the spins a first order phase transition to a spin-glass phase occurs, and the temperature of this transition tends to zero if $T_J$ is large. Our analytical results show that a spin-glass phase can exist in mean-field models with nonrelaxational dynamics.

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