# Anisotropic Domain Growth of ANNNI Model at Low Temperatures

Source: [Anisotropic Domain Growth of ANNNI Model at Low Temperatures](<https://www.sota2.com/research/paper/68fa1e2d7a2b558e293205ef>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:14:57.578Z

Authors: Mookyung Cheon, Iksoo Chang

Published: 2001-04-02T13:39:51.000Z

## Abstract

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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0104027>)

[PDF](<https://arxiv.org/pdf/cond-mat/0104027.pdf>)