Nucleation, Growth, and Scaling in Slow Combustion |
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| Authors: | Mikko Karttunen Nikolas Provatas Tapio Ala-Nissila Martin Grant |
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| Affiliation: | (1) Department of Physics and the Centre for the Physics of Materials, McGill University, Montréal (, Qué.), Canada, H3A 2T8;(2) Loomis Laboratory of Physics, Department of Physics and Mechanical Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois, 61801-3080;(3) Helsinki Institute of Physics, University of Helsinki, P.O. Box 9, FIN-00014 Helsinki, Finland;(4) Department of Physics, Brown University, Providence, Rhode Island, 02912 |
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| 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 agreement with theoretical predictions. |
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| Keywords: | Nucleation reaction-diffusion systems flame fronts |
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