TY - JOUR
T1 - Universal algebraic relaxation of velocity and phase in pulled fronts generating periodic or chaotic states
AU - Storm, C.
AU - Spruijt, W.
AU - Ebert, U.M.
AU - Saarloos, van, W.
PY - 2000
Y1 - 2000
N2 - We investigate the asymptotic relaxation of so-called pulled fronts propagating into an unstable state, and generalize the universal algebraic velocity relaxation of uniformly translating fronts to fronts that generate periodic or even chaotic states. A surprising feature is that such fronts also exhibit a universal algebraic phase relaxation. For fronts that generate a periodic state, like those in the Swift-Hohenberg equation or in a Rayleigh-Bénard experiment, this implies an algebraically slow relaxation of the pattern wavelength just behind the front, which should be experimentally testable.
AB - We investigate the asymptotic relaxation of so-called pulled fronts propagating into an unstable state, and generalize the universal algebraic velocity relaxation of uniformly translating fronts to fronts that generate periodic or even chaotic states. A surprising feature is that such fronts also exhibit a universal algebraic phase relaxation. For fronts that generate a periodic state, like those in the Swift-Hohenberg equation or in a Rayleigh-Bénard experiment, this implies an algebraically slow relaxation of the pattern wavelength just behind the front, which should be experimentally testable.
U2 - 10.1103/PhysRevE.61.R6063
DO - 10.1103/PhysRevE.61.R6063
M3 - Article
VL - 61
SP - R6063-R6066
JO - Physical Review E: Statistical, Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E: Statistical, Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 6
ER -