Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-05-14
Physics
Condensed Matter
Statistical Mechanics
7 pages, 9 figures, to appear in Phys. Rev. E (1998)
Scientific paper
10.1103/PhysRevE.58.1514
We consider the dynamics and kinetic roughening of interfaces embedded in uniformly random media near percolation treshold. In particular, we study simple discrete ``forest fire'' lattice models through Monte Carlo simulations in two and three spatial dimensions. An interface generated in the models is found to display complex behavior. Away from the percolation transition, the interface is self-affine with asymptotic dynamics consistent with the Kardar-Parisi-Zhang universality class. However, in the vicinity of the percolation transition, there is a different behavior at earlier times. By scaling arguments we show that the global scaling exponents associated with the kinetic roughening of the interface can be obtained from the properties of the underlying percolation cluster. Our numerical results are in good agreement with theory. However, we demonstrate that at the depinning transition, the interface as defined in the models is no longer self-affine. Finally, we compare these results to those obtained from a more realistic reaction-diffusion model of slow combustion.
Ala-Nissila Tapio
Haataja Mikko
Kuittu Mikko-Pekka
Provatas Nikolas
No associations
LandOfFree
Dynamics of driven interfaces near isotropic percolation transition 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 Dynamics of driven interfaces near isotropic percolation transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of driven interfaces near isotropic percolation transition will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-667750