494 citations · 2.8k across the 66 of their papers we have counts for
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Fluctuation Effects on Quadratic Autocatalysis Fronts
Mikhail V. Velikanov, Raymond Kapral
A Markov chain model for spatially distributed autocatalytic systems with a quadratic reaction rate is considered. An approximate solution for the local probability distribution is…
Perturbation Theory for the Breakdown of Mean-Field Kinetics in Oscillatory Reaction-Diffusion Systems
Mikhail V. Velikanov, Raymond Kapral
Spatially-distributed, nonequilibrium chemical systems described by a Markov chain model are considered. The evolution of such systems arises from a combination of local birth-deat…
Coiling and Supercoiling of Vortex Filaments in Oscillatory Media
Guillaume Rousseau, Hugues Chaté, Raymond Kapral
We study the behavior of vortex filaments subject to a uniform density of phase twist in oscillatory media described by the complex Ginzburg-Landau equation. The first instability…