Interrupted coarsening in a driven kinetically constrained ising chain

Fielding, S.M. (2002) Interrupted coarsening in a driven kinetically constrained ising chain. Physical Review E, 66 (016103). pp. 1-8. ISSN 1539-3755

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Abstract

We introduce a driven version of the one-dimensional kinetically constrained spin chain [J. Jackle and S. Eisinger, Zeitschr. Phys. B 84, 115 (1991)]. In its original undriven version, this model shows anomalous coarsening following a quench to a low temperature, with an equilibration time that diverges as ∼exp(1/T2) for T→0. We show that driving of constant rate γ̇ interrupts coarsening and stabilizes the chain in a state analogous to that of a coarsening chain of age 1/γ̇. We present an analytical theory for this steady state, and demonstrate it to be in excellent agreement with our simulation results.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics MSC 2010, the AMS's Mathematics Subject Classification > 82 Statistical mechanics, structure of matter
Depositing User:	Ms Lucy van Russelt
Date Deposited:	17 Jul 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/386

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