Dynamics of driven interfaces near isotropic percolation transition

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Dynamics of driven interfaces near isotropic percolation transition. / Kuittu, M.-P.; Haataja, M.; Provatas, N.; Ala-Nissilä, T.

julkaisussa: Physical Review E, Vuosikerta 58, Nro 2, 1998, s. 1514-1520.

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Kuittu, M.-P. ; Haataja, M. ; Provatas, N. ; Ala-Nissilä, T. / Dynamics of driven interfaces near isotropic percolation transition. Julkaisussa: Physical Review E. 1998 ; Vuosikerta 58, Nro 2. Sivut 1514-1520.

Bibtex - Lataa

@article{8a0e5e2ad8d14bc3a6c35ae4a0ab5d80,
title = "Dynamics of driven interfaces near isotropic percolation transition",
abstract = "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 with those obtained from a more realistic reaction-diffusion model of slow combustion.",
author = "M.-P. Kuittu and M. Haataja and N. Provatas and T. Ala-Nissil{\"a}",
year = "1998",
doi = "10.1103/PhysRevE.58.1514",
language = "English",
volume = "58",
pages = "1514--1520",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "2",

}

RIS - Lataa

TY - JOUR

T1 - Dynamics of driven interfaces near isotropic percolation transition

AU - Kuittu, M.-P.

AU - Haataja, M.

AU - Provatas, N.

AU - Ala-Nissilä, T.

PY - 1998

Y1 - 1998

N2 - 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 with those obtained from a more realistic reaction-diffusion model of slow combustion.

AB - 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 with those obtained from a more realistic reaction-diffusion model of slow combustion.

U2 - 10.1103/PhysRevE.58.1514

DO - 10.1103/PhysRevE.58.1514

M3 - Article

VL - 58

SP - 1514

EP - 1520

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

ER -

ID: 4989774