Arrested States formed on Quenching Spin Chains with Competing Interactions and Conserved Dynamics

Abstract

We study the effects of rapidly cooling to T = 0 a spin chain with conserved dynamics and competing interactions. Depending on the degree of competition, the system is found to get arrested in different kinds of metastable states. The most interesting of these has an inhomogeneous mixture of interspersed active and quiescent regions. In this state, the steady-state autocorrelation function decays as a stretched exponential $\sim \exp (-{(t/{\tau }_o)}^{\frac{1}{3}})$, and there is a two-step relaxation to equilibrium when the temperature is raised slightly.

4 pages, Latex, 3 postscript figures. Phys. Rev. E to appear (1999)

References in corpus (2)

• Slow Coarsening in an Ising Chain with Competing Interactions
• Polytype Kinetics and Quenching of Spin Chains with Competing Interactions using Trimer-flip Dynamics

Cited by in corpus (8)

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• Zero temperature dynamics in two dimensional ANNNI model
• Zero temperature coarsening in Ising model with asymmetric second neighbour interaction in two dimensions
• Size-Stretched Exponential Relaxation in a Model with Arrested States
• Equilibrium and dynamical properties of the ANNNI chain at the multiphase point
• Stretched exponential to power-law: crossover of relaxation in a kinetically constrained model
• Zero temperature ordering dynamics in two dimensional BNNNI model
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints