Dynamics and thermodynamics of the spherical frustrated Blume-Emery-Griffiths model

TL;DR

This paper introduces a spherical frustrated Blume-Emery-Griffiths model, exactly solving its statics and dynamics, revealing a continuous transition to a spin glass phase and observing aging phenomena in nonequilibrium regimes.

Contribution

It presents the first exact solution of the spherical frustrated Blume-Emery-Griffiths model's static and dynamic properties at zero coupling, highlighting phase transitions and aging behavior.

Findings

Continuous phase transition from disordered to spin glass phase

Existence of aging and interrupted aging in nonequilibrium dynamics

Exact analytical solutions for static and dynamic properties

Abstract

We introduce a spherical version of the frustrated Blume-Emery-Griffiths model and solve exactly the statics and the Langevin dynamics for zero particle-particle coupling (K=0). In this case the model exhibits an equilibrium transition from a disordered to a spin glass phase which is always continuous for nonzero temperature. The same phase diagram results from the study of the dynamics. Furthermore, we notice the existence of a nonequilibrium time regime in a region of the disordered phase, characterized by aging as occurs in the spin glass phase. Due to a finite equilibration time, the system displays in this region the pattern of interrupted aging.