Non-monotonic Relaxation in Systems with Reentrant Type Interaction

Abstract

Recently, interesting non-monotonic time evolution has been pointed out in the experiments by Jönsson, {\it et al.} and Jonsson {\it et.al.} and also in the numerical simulation by Takayama and Hukushima where the magnetic susceptibility does not monotonically relax to the equilibrium value, but moves to the opposite side. We study mechanism of this puzzling non-monotonic dynamical property in a frustrated Ising model in which the equilibrium correlation exhibits non-monotonic temperature dependence (reentrant type). We study the time evolution of spin correlation function after sudden change of temperature. There, we find that the value of the correlation function shows non-monotonic relaxation, and analyze mechanisms of the non-monotonicity. We also point out that competition between different configurations widely causes non-monotonic relaxation.

10pages, 8figures

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Cited by in corpus (5)

• Dynamical properties of Potts model with invisible states
• Mechanism of Slow Relaxation due to Screening Effect in a Frustrated System
• Non-monotonic Dynamics in Frustrated Ising Model with Time-Dependent Transverse Field
• Dynamical process of a bit-width reduced Ising model with simulated annealing
• Quantum Field Induced Orderings in Fully Frustrated Ising Spin Systems