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da Silva TJ, Moreira JG. Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;63(4):041601doi: 10.1103/PhysRevE.63.041601.
da Silva, T. J., & Moreira, J. G. (2001). Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities. Physical review. E, Statistical, nonlinear, and soft matter physics, 63(4), 041601. https://doi.org/10.1103/PhysRevE.63.041601
da Silva, T J, and Moreira, J G. "Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 63,4 (2001): 041601. doi: https://doi.org/10.1103/PhysRevE.63.041601
da Silva TJ, Moreira JG. Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Apr;63(4):041601. doi: 10.1103/PhysRevE.63.041601. Epub 2001 Mar 20. PMID: 11308856.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Apr;63(4):041601. doi: 10.1103/PhysRevE.63.041601. Epub 2001 Mar 20.

Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities.

Physical review. E, Statistical, nonlinear, and soft matter physics

T J da Silva, J G Moreira

Affiliations

  1. Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Caixa Postal 702, 30161-970, Belo Horizonte, MG Brazil.

PMID: 11308856 DOI: 10.1103/PhysRevE.63.041601

Abstract

We introduce a model that simulates a kinetic roughening process with two kinds of particle: one follows ballistic deposition (BD) kinetics and the other restricted solid-on-solid Kim-Kosterlitz (KK) kinetics. Both of these kinetics are in the universality class of the nonlinear Kardar-Parisi-Zhang equation, but the BD kinetics has a positive nonlinear constant while the KK kinetics has a negative one. In our model, called the BD-KK model, we assign the probabilities p and (1-p) to the KK and BD kinetics, respectively. For a specific value of p, the system behaves as a quasilinear model and the up-down symmetry is restored. We show that nonlinearities of odd order are relevant in this low nonlinear limit.

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