Polytype Kinetics and Quenching of Spin Chains with Competing Interactions using Trimer-flip Dynamics

Details Polytype Kinetics and Quenching of Spin Chains with Competing Interactions using Trimer-flip Dynamics Polytype Kinetics and Quenching of Spin Chains with Competing Interactions using Trimer-flip Dynamics

1999-06-09

arxiv.org/abs/cond-mat/9906127v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, Latex, 4 postscript figures. Physica A 270 to appear (1999)

Scientific paper

10.1016/S0378-4371(99)00121-1

We consider the effects of a quench to T = 0 on a spin system with axial next-next nearest neighbour Ising interactions, evolving under a conserved 3-spin flip dynamics. Such a model is motivated by the kinetics of stacking layers in polytypes near the 3C-6H transition. We find that the system generically gets arrested in interesting metastable states which have inhomogeneously distributed quiescent and active regions. In such arrested states, the autocorrelation function decays as a stretched exponential $\sim \exp(-(t/\tau_{o})^{1 \over 3})$. The latter feature can be understood in terms of a mapping of the dynamics within active stretches to the well known simple exclusion process of particles on a line, and bounds can be put on $\tau_o$.

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