Universality Class of Fluctuating Pulled Fronts
نویسندگان
چکیده
منابع مشابه
Universality class of fluctuating pulled fronts.
It has recently been proposed that fluctuating "pulled" fronts propagating into an unstable state should not be in the standard Kardar-Parisi-Zhang (KPZ) universality class for rough interface growth. We introduce an effective field equation for this class of problems, and show on the basis of it that noisy pulled fronts in d+1 bulk dimensions should be in the universality class of the ((d+1)+1...
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 کاملPhenomenological theory giving the full statistics of the position of fluctuating pulled fronts.
We propose a phenomenological description for the effect of a weak noise on the position of a front described by the Fisher-Kolmogorov-Petrovsky-Piscounov equation or any other traveling-wave equation in the same class. Our scenario is based on four hypotheses on the relevant mechanism for the diffusion of the front. Our parameter-free analytical predictions for the velocity of the front, its d...
متن کاملFluctuating pulled fronts: The origin and the effects of a finite particle cutoff.
Recently, it has been shown that when an equation that allows the so-called pulled fronts in the mean-field limit is modeled with a stochastic model with a finite number N of particles per correlation volume, the convergence to the speed v(*) for N--> infinity is extremely slow-going only as ln(-2)N. Pulled fronts are fronts that propagate into an unstable state, and the asymptotic front speed ...
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 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: Physical Review Letters
سال: 2001
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.86.5215