Conserved Kardar-Parisi-Zhang equation: Role of quenched disorder in determining universality

Abstract

We study the stochastically driven conserved Kardar-Parisi-Zhang (CKPZ) equation with quenched disorders. Short-ranged quenched disorders is found to be a relevant perturbation on the pure CKPZ equation at one dimension, and as a result, a new universality class different from pure CKPZ equation appears to emerge. At higher dimensions, quenched disorder turns out to be ineffective to influence the universal scaling. This results in the asymptotic long wavelength scaling to be given by the linear theory, a scenario identical with the pure CKPZ equation. For sufficiently long-ranged quenched disorders, the universal scaling is impacted by the quenched disorder even at higher dimensions.

12 pages, 8 figures

References in corpus (2)

• Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes
• Dynamic scaling in the quenched disordered classical $N$-vector model

Cited by in corpus (4)

• Stirred Kardar-Parisi-Zhang equation with quenched random noise: Emergence of induced nonlinearity
• Disorders can induce continuously varying universal scaling in driven systems
• Random Walk on a Random Surface: Implications of Non-perturbative Concepts and Dynamical Emergence of Galilean Symmetry
• Noise crosscorrelations can induce instabilities in coupled driven models