Slow domain growth in a system with competing interactions

Rao, Madan ; Chakrabarti, Amitabha (1995) Slow domain growth in a system with competing interactions Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 52 (1). R13-R16. ISSN 1539-3755

Full text not available from this repository.

Official URL:

Related URL:


We carry out a numerical study of the growth of domains following a quench in a three-dimensional scalar model with competing ferromagnetic J1 and antiferromagnetic J2<J1 interactions. A "dynamical phase diagram" separates a region I of algebraic growth from a region II of logarithmic growth across an equilibrium "corner-rounding transition," confirming a previous claim. In region II, up to the late times we study, the correlation functions are anisotropic and violate dynamical scaling. This arises from the presence of two distinct length scales-the distance between interfaces R and the distance between corners L, both of which grow logarithmically slowly. In the scaling limit (t→∞), L/R→0, restoring scaling and isotropy. Under the assumption of analyticity, the asymptotic scaling function is identical to the pure Ising model. The slow logarithmic growth arises from a renormalization of the kinetic coefficient at the smaller length scale L, and can be associated with the dangerously irrelevant operator J2 at the zero-temperature fixed point (ZFP). This implies that at the ZFP, the two models, with and without J2, belong to the same universality class.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:67280
Deposited On:29 Oct 2011 11:51
Last Modified:29 Oct 2011 11:51

Repository Staff Only: item control page