Flame front propagation II: Random Noise and Pole-Dynamics in Unstable Front Propagation

Details Flame front propagation II: Random Noise and Pole-Dynamics in Unstable Front Propagation Flame front propagation II: Random Noise and Pole-Dynamics in Unstable Front Propagation

1996-08-06

arxiv.org/abs/adap-org/9608001v2

Phys. Rev. E 55, 2649-2663 (1997)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

20 pages, 10 figures

Scientific paper

10.1103/PhysRevE.55.2649

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.

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