Slow Coarsening in an Ising Chain with Competing Interactions

Details Slow Coarsening in an Ising Chain with Competing Interactions Slow Coarsening in an Ising Chain with Competing Interactions

1998-05-28

arxiv.org/abs/cond-mat/9805385v1

Journal of Physics A 31, 9229-9240 (1998)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures, revtex 2-column format, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/31/46/013

We investigate the zero-temperature coarsening dynamics of a chain of Ising spins with a nearest-neighbor ferromagnetic and an nth-neighbor antiferromagnetic interactions. For sufficiently large antiferromagnetic interaction, the ground state consists of $n$ consecutive up spins followed by n down spins, etc. We show that the asymptotic coarsening into this ground state is governed by a multispecies reactive gas of elementary excitations. The basic elementary excitations are identified and each decays at a different power-law rate in time. The dominant excitations are domains of n+1 spins which diffuse freely and disappear through processes which are effectively governed by (n+1)-particle annihilation. This implies that the ground state is approached slowly with time, as t^{-1/n}.

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