Flame front propagation II: Random Noise and Pole-Dynamics in Unstable Front Propagation
adap-org
2011-08-19 v2 Adaptation and Self-Organizing Systems
Abstract
The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales is studied. The analytic tool of pole expansion in the complex plane is emloyed 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.
Cite
@article{arxiv.adap-org/9608001,
title = {Flame front propagation II: Random Noise and Pole-Dynamics in Unstable Front Propagation},
author = {Zeev Olami and Barak Galanti and Oleg Kupervasser and Itamar Procaccia},
journal= {arXiv preprint arXiv:adap-org/9608001},
year = {2011}
}
Comments
20 pages, 10 figures