Nucleation, growth, and scaling in slow combustion
Mikko Karttunen, Nikolas Provatas, Tapio Ala-Nissila, Martin Grant
Abstract
We study the nucleation and growth of flame fronts in slow combustion. This is modeled by a set of reaction-diffusion equations for the temperature field, coupled to a background of reactants and augmented by a term describing random temperature fluctuations for ignition. We establish connections between this model and the classical theories of nucleation and growth of droplets from a metastable phase. Our results are in good argeement with theoretical predictions.
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