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

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

1999-06-08

arxiv.org/abs/cond-mat/9906117v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.60.2577

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 $\sim \exp(-{(t/\tau_{o})}^{{1}\over{3}})$, and there is a two-step relaxation to equilibrium when the temperature is raised slightly.

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