Fluctuation and relaxation properties of pulled fronts: a possible scenario for non-Kardar-Parisi-Zhang behavior

Details Fluctuation and relaxation properties of pulled fronts: a possible scenario for non-Kardar-Parisi-Zhang behavior Fluctuation and relaxation properties of pulled fronts: a possible scenario for non-Kardar-Parisi-Zhang behavior

2000-05-08

arxiv.org/abs/cond-mat/0005131v2

Phys. Rev. Lett. 85 (2000) 3556-3559

Physics

Condensed Matter

Statistical Mechanics

Replaced with revised version

Scientific paper

10.1103/PhysRevLett.85.3556

We argue that while fluctuating fronts propagating into an unstable state should be in the standard KPZ universality class when they are {\em pushed}, they should not when they are {\em pulled}: The universal $1/t$ velocity relaxation of deterministic pulled fronts makes it unlikely that the KPZ equation is the appropriate effective long-wavelength low-frequency theory in this regime. Simulations in 2$D$ confirm the proposed scenario, and yield exponents $\beta \approx 0.29\pm 0.01$, $\zeta \approx 0.40\pm 0.02$ for fluctuating pulled fronts, instead of the KPZ values $\beta=1/3$, $\zeta = 1/2$. Our value of $\beta$ is consistent with an earlier result of Riordan {\em et al.}

Affiliated with

Also associated with

No associations

Rating

Fluctuation and relaxation properties of pulled fronts: a possible scenario for non-Kardar-Parisi-Zhang behavior does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fluctuation and relaxation properties of pulled fronts: a possible scenario for non-Kardar-Parisi-Zhang behavior, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fluctuation and relaxation properties of pulled fronts: a possible scenario for non-Kardar-Parisi-Zhang behavior will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425695