101 citations · 159 across the 2 of their papers we have counts for
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Study of spiral pattern formation in Rayleigh-Benard convection
Hao-wen Xi, J. D. Gunton, Jorge Vinals
We present a numerical study of a generalized two-dimensional Swift-Hohenberg model of spiral pattern formation in Rayleigh-Bénard convection in a non-Boussinesq fluid. We demonstr…
New Dynamic Monte Carlo Renormalization Group Method
Martin-D. Lacasse, Jorge Vinals, Martin Grant
The dynamical critical exponent of the two-dimensional spin-flip Ising model is evaluated by a Monte Carlo renormalization group method involving a transformation in time. The resu…
Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation
K. R. Elder, Jorge Viñals, Martin Grant
The process of pattern formation in the two dimensional Swift-Hohenberg equation is examined through numerical and analytic methods. Dynamic scaling relationships are developed for…