Spin-glass model with partially annealed asymmetric bonds

Abstract

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.

10 pages, latex

References in corpus (1)

• Glassy behaviour in disordered systems with non-relaxational dynamics

Cited by in corpus (1)

• Dynamical Theory for Adaptive Systems