Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-05-08
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.}
Saarloos Wim van
Tripathy Goutam
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