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Fluctuation and relaxation properties of pulled fronts: a possible scenario for non-Kardar-Parisi-Zhang behavior by Tripathy, Goutam; van Saarloos, Wim is a scholarly article available to read on EtoBox.

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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.}

Author

Tripathy, Goutam; van Saarloos, Wim

Published

2000

Language

EN