Comment on ``Deterministic equations of motion and phase ordering dynamics''

TL;DR

This paper clarifies that the observed unusual scaling laws in the microcanonical phi^4 model are transient effects caused by lattice corrections, and confirms Ising-like phase ordering at late times through careful numerical analysis.

Contribution

It provides a more accurate numerical investigation showing that true phase ordering in the model aligns with Ising-like dynamics, correcting prior claims of unusual scaling.

Findings

Transient dynamics are due to lattice effects.

Late-time behavior follows Ising-like phase ordering.

Energy conservation introduces specific corrections to scaling.

Abstract

Zheng [Phys. Rev. E {\bf 61}, 153 (2000), cond-mat/9909324] claims that phase ordering dynamics in the microcanonical $\phi^4$ model displays unusual scaling laws. We show here, performing more careful numerical investigations, that Zheng only observed transient dynamics mostly due to the corrections to scaling introduced by lattice effects, and that Ising-like (model A) phase ordering actually takes place at late times. Moreover, we argue that energy conservation manifests itself in different corrections to scaling.