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

Source: [Polytype Kinetics and Quenching of Spin Chains with Competing Interactions using Trimer-flip Dynamics](<https://www.sota2.com/research/paper/68fa24c12c2a3760193a8709>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:29:39.067Z

Authors: Dibyendu Das, Mustansir Barma

Published: 1999-06-09T09:26:46.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9906127>)

[PDF](<https://arxiv.org/pdf/cond-mat/9906127.pdf>)