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Das, Dibyendu; Barma, Mustansir
Physica A, 08/1999, Letnik: 270, Številka: 1Journal Article
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 3 C–6 H 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 ∼ exp(−(t/τ o) 1 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 τ o .
