Anisotropic Domain Growth of ANNNI Model at Low Temperatures

Details Anisotropic Domain Growth of ANNNI Model at Low Temperatures Anisotropic Domain Growth of ANNNI Model at Low Temperatures

2001-04-02

arxiv.org/abs/cond-mat/0104027v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures. Physical Review Letters (in press)

Scientific paper

We investigate the ordering kinetics for axial next nearest neighbor Ising (ANNNI) model in one and two dimensions by the multi-spin heat bath dynamical simulation. This dynamics enables us to overcome the pinning effect and to observe the dynamical scaling law for domain growth in the ANNNI model at zero temperature. The domain growth exponent is 1/2 isotropically both in the ferromagnetic and the dry-(commensurate) antiphase. In the wet-(commensurate) antiphase, however, it is approximately 1/3 in the modulated direction, whereas it remains 1/2 in the non-modulated direction. We suggest that these exponent values are dictated by 3 and 4 body diffusion-reaction processes of domain walls.

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