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

Source: [Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities](<https://www.sota2.com/research/paper/68fa34281e209131ce89658d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:29:17.214Z

Authors: T. J. da Silva, J. G. Moreira

Published: 2000-12-06T21:01:55.000Z

## Abstract

We introduce a model that simulates a kinetic roughening process with two kinds of particles: one follows the ballistic deposition (BD) kinetic and, the other, the restricted solid-on-solid (KK) kinetic. Both of these kinetics are in the universality class of the nonlinear KPZ equation, but the BD kinetic has a positive nonlinear constant while the KK kinetic has a negative one. In our model, called 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 quasi linear model and the up-down symmetry is recuperated. We show that nonlinearities of odd-order are relevant in these low nonlinear limit.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0012095>)

[PDF](<https://arxiv.org/pdf/cond-mat/0012095.pdf>)