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most citedSpiral defect chaos in a model of Rayleigh-Benard convection

89 citations · 246 across the 5 of their papers we have counts for

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5 papers

cond-mat.soft2001★ 19 cited

Grain boundary motion in layered phases

Denis Boyer, Jorge Viñals

We study the motion of a grain boundary that separates two sets of mutually perpendicular rolls in Rayleigh-Bénard convection above onset. The problem is treated either analyticall…

patt-sol1996★ 56 cited

Square Patterns and Quasi-patterns in Weakly Damped Faraday Waves

Wenbin Zhang, Jorge Vinals

Pattern formation in parametric surface waves is studied in the limit of weak viscous dissipation. A set of quasi-potential equations (QPEs) is introduced that admits a closed repr…

patt-sol1993★ 71 cited

Secondary Instabilities and Spatiotemporal Chaos in Parametric Surface Waves

Wenbin Zhang, Jorge Vinals

A two dimensional model is introduced to study pattern formation, secondary instabilities and the transition to spatiotemporal chaos (weak turbulence) in parametric surface waves.…

patt-sol1993★ 89 cited

Spiral defect chaos in a model of Rayleigh-Benard convection

Hao-wen Xi, J. D. Gunton, Jorge Vinals

A numerical solution of a generalized Swift-Hohenberg equation in two dimensions reveals the existence of a spatio-temporal chaotic state comprised of a large number of rotating sp…

cond-mat1992★ 11 cited

Numerical study of pattern formation following a convective instability in non-Boussinesq fluids

Hao-wen Xi, Jorge Vinals, J. D. Gunton

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 convect…