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Physics Letters A

On the ground state properties of the many-neighboured Ising antiferromagnet with general spin S

Dragan Slavkov Hajdukovic

Published Sep 1, 1987• 0 citations
Publisher
DOI
10.1016/0375-9601(87)90367-7

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We investigate the zero-temperature coarsening dynamics of a chain of Ising spins with a nearest-neighbour ferromagnetic and an nth-neighbour 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 can be described in terms of 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 leads to a slow temporal approach to the ground state.
We investigate the zero-temperature coarsening dynamics of a chain of Ising spins with a nearest-neighbour ferromagnetic and an n th-neighbour 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 can be described in terms of 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 leads to a slow temporal approach to the ground state.