Subdiffusive Fluctuations of 'Pulled' Fronts with Multiplicative Noise.

摘要

We study the propagation of a 'pulled' front with multiplicative noise that is created by a local perturbation of an unstable state. Unlike a front propagating into a metastable state, where a separation of time scales for sufficiently large t creates a diffusive wandering of the front position about its mean, we predict that for so-called fronts, the fluctuations are subdiffusive with root mean square.