1992/07/10 by Hao-wen Xi, Jorge Vinals, Jorge Viñals +1
Computer Science · Materials Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Solidification and crystal growth phenomena #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1103/physreva.46.r4483
published as Phys. Rev. A 46, R4483 (1992) · 9 pages, report FSU-SCRI-92-66
arxiv created 1992/07/10 · openalex publication_date 1992/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present a numerical study of a model of pattern formation following a convective instability in a non-Boussinesq fluid. It is shown that many of the features observed in convection experiments conducted on CO2 gas can be reproduced by using a generalized two-dimensional Swift-Hohenberg equation. The formation of hexagonal patterns, rolls, and spirals is studied, as well as the transitions and competition among them. We also study nucleation and growth of hexagonal patterns and find that the front velocity in this two-dimensional model is consistent with the prediction of marginal stability theory for one-dimensional fronts.