Weakly pushed nature of “pulled” fronts with a cutoff
نویسندگان
چکیده
منابع مشابه
Weakly pushed nature of "pulled" fronts with a cutoff.
The concept of pulled fronts with a cutoff epsilon has been introduced to model the effects of the discrete nature of the constituent particles on the asymptotic front speed in models with continuum variables (pulled fronts are the fronts that propagate into an unstable state, and have an asymptotic front speed equal to the linear spreading speed v* of small linear perturbations around the unst...
متن کاملSpeed of pulled fronts with a cutoff.
We study the effect of a small cutoff epsilon on the velocity of a pulled front in one dimension by means of a variational principle. We obtain a lower bound on the speed dependent on the cutoff, for which the two leading order terms correspond to the Brunet-Derrida expression. To do so we cast a known variational principle for the speed of propagation of fronts in different variables which mak...
متن کاملInside dynamics of pulled and pushed fronts
We investigate the inside structure of one-dimensional reaction-diffusion traveling fronts. The reaction terms are of the monostable, bistable or ignition types. Assuming that the fronts are made of several components with identical diffusion and growth rates, we analyze the spreading properties of each component. In the monostable case, the fronts are classified as pulled or pushed ones, depen...
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We give an explicit formula for the change of speed of pushed and bistable fronts of the reaction-diffusion equation when a small cutoff is applied to the reaction term at the unstable or metastable equilibrium point. The results are valid for arbitrary reaction terms and include the case of density-dependent diffusion.
متن کاملFluctuating pulled fronts & Pomerons
I give a physical discussion of the influence of particle number fluctuations on the high energy evolution in QCD. I emphasize the event–by–event description and the correspondence with the problem of ‘fluctuating pulled fronts’ in statistical physics. I show that the correlations generated by fluctuations reduce the phase–space for BFKL evolution up to saturation. Because of that, the evolutio...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.65.057202