2003/02/11 by Oleg Kupervasser, Kupervasser, Oleg, Zeev Olami +5
Engineering · Physics and Astronomy · #Combustion and flame dynamics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.PS #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0302021
12 pages 29 figures
openalex publication_date 2003/02/11 · arxiv created 2011/08/17 · arxiv updated 2011/08/19 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales. The analytic tool of pole expansion in the complex plane is employed to address the interaction of the unstable growth process with random initial conditions and perturbations. We argue that the effect of random noise is immense and that it can never be neglected in sufficiently large systems. We present simulations that lead to scaling laws for the velocity and acceleration of the front as a function of the system size and the level of noise, and analytic arguments that explain these results in terms of the noisy pole dynamics.terms of the dynamics of singularities in the complex plane, yielding detailed understanding of the physics of the eigenfunctions and eigenvalues.