Pushed and pulled fronts in a discrete reaction–diffusion equation
نویسندگان
چکیده
منابع مشابه
Inside 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...
متن کاملWeakly 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 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...
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 کاملPulled Fronts and the Reproductive Individual
In War and Peace, Leo Tolstoy expressed his opinions about the importance of “great men” in determining the outcome of historical processes. He said that particular individuals are relatively unimportant in comparison to the overall “forces of history”, comprising the actions, ideas, and emotions of the masses of human beings. Amusingly enough, the relative importance of the individual and the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Engineering Mathematics
سال: 2015
ISSN: 0022-0833,1573-2703
DOI: 10.1007/s10665-015-9829-3