Domain Growth in a Multivariable non Potential System

TL;DR

This paper investigates how non-potential terms affect domain growth and dynamical scaling in a model of Rayleigh-Benard convection, revealing different behaviors in one and two dimensions.

Contribution

It provides new insights into the impact of non-potential effects on domain coarsening and scaling laws in convection models.

Findings

In 1D, dynamical scaling is observed with a crossover from logarithmic to linear growth.

In 2D, non-potential terms inhibit coarsening regardless of rotation speed.

Abstract

We present a study of dynamical scaling and domain growth in a non potential system that models Rayleigh-Benard convection in a rotating cell. In d=1, dynamical scaling holds, but the non potential terms modify the characteristic growth law with a crossover from logarithmic to linear in time. In d=2 the non potential terms prevent coarsening for any value of the angular rotation speed.