title: Self-organized interface growth with the negative nonlinearity in a random medium.
abstract: We introduce two self-organized growth models that describe the motion of the driven interfaces in random media including the Kardar-Parisi-Zhang (KPZ) nonlinearity. One model follows the quenched KPZ equation with a positive nonlinear term, while the other model follows the quenched KPZ equation with a negative nonlinear term. By obtaining the critical exponents for two models, we confirm that the sign of the KPZ nonlinear term does not affect the universality class.
authors.affiliation: Center for Liberal Arts and Instructional Development, Myongji University, Yongin, Kyonggi-Do, 449-728, Korea.
authors.forename: Yeon-Mu
authors.initials: YM
authors.lastname: Choi
authors.forename: Hyun-Joo
authors.initials: HJ
authors.lastname: Kim
authors.forename: In-Mook
authors.initials: IM
authors.lastname: Kim