Nucleation, growth, and scaling in slow combustion

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.

RevTeX+epsf macros, 6 pages, 6 figures

References in corpus (1)

• Kinetic Roughening in Slow Combustion of Paper

Cited by in corpus (8)

• Test of the Kolmogorov-Johnson-Mehl-Avrami picture of metastable decay in a model with microscopic dynamics
• Phase-field approach to heterogeneous nucleation
• Kinetics of propagating phase transformation in compressed bismuth
• Invasive advance of an advantageous mutation: nucleation theory
• Kinetics of heterogeneous nucleation and growth: An approach based on a grain explicit model
• Dynamics of driven interfaces near isotropic percolation transition
• Spin Precession and Avalanches
• Invasive Allele Spread under Preemptive Competition