Coarsening in a Driven Ising Chain with Conserved Dynamics

Details Coarsening in a Driven Ising Chain with Conserved Dynamics Coarsening in a Driven Ising Chain with Conserved Dynamics

1999-03-11

arxiv.org/abs/cond-mat/9903191v1

Phys. Rev. E 60, 2670-2676 (1999)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 9 figures, revtex 2-column format

Scientific paper

10.1103/PhysRevE.60.2670

We study the low-temperature coarsening of an Ising chain subject to spin-exchange dynamics and a small driving force. This dynamical system reduces to a domain diffusion process, in which entire domains undergo nearest-neighbor hopping, except for the shortest domains -- dimers -- which undergo long-range hopping. This system is characterized by two independent length scales: the average domain length L(t)~t^{1/2} and the average dimer hopping distance l(t)~ t^{1/4}. As a consequence of these two scales, the density C_k(t) of domains of length k does not obey scaling. This breakdown of scaling also leads to the density of short domains decaying as t^{-5/4}, instead of the t^{-3/2} decay that would arise from pure domain diffusion.

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