منابع مشابه
Front propagation into unstable states
This paper is an introductory review of the problem of front propagation into unstable states. Our presentation is centered around the concept of the asymptotic linear spreading velocity v∗, the asymptotic rate with which initially localized perturbations spread into an unstable state according to the linear dynamical equations obtained by linearizing the fully nonlinear equations about the uns...
متن کاملFront propagation into an unstable state of reaction-transport systems.
We studied the propagation of traveling fronts into an unstable state of the reaction-transport systems involving integral transport. By using a hyperbolic scaling procedure and singular perturbation techniques, we determined a Hamiltonian structure of reaction-transport equations. This structure allowed us to derive asymptotic formulas for the propagation rate of a reaction front. We showed th...
متن کاملFront propagation into unstable states: universal algebraic convergence towards uniformly translating pulled fronts
Fronts that start from a local perturbation and propagate into a linearly unstable state come in two classes: pulled fronts and pushed fronts. The term “pulled front” expresses that these fronts are “pulled along” by the spreading of linear perturbations about the unstable state. Accordingly, their asymptotic speed v∗ equals the spreading speed of perturbations whose dynamics is governed by the...
متن کاملDesertification by front propagation?
Understanding how desertification takes place in different ecosystems is an important step in attempting to forecast and prevent such transitions. Dryland ecosystems often exhibit patchy vegetation, which has been shown to be an important factor on the possible regime shifts that occur in arid regions in several model studies. In particular, both gradual shifts that occur by front propagation, ...
متن کاملFront propagation in flipping processes
T. Antal, D. ben-Avraham, E. Ben-Naim, and P. L. Krapivsky 4 Program for Evolutionary Dynamics, Harvard University, Cambridge, Massachusetts, 02138 USA Physics Department, Clarkson University, Potsdam, New York 13699 USA Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 USA Department of Physics, Boston University, Boston, Massac...
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: Physics Reports
سال: 2003
ISSN: 0370-1573
DOI: 10.1016/j.physrep.2003.08.001