Conserved Kardar-Parisi-Zhang equation: Does quenched disorder affect universality?

Sudip Mukherjee

Published 2020-11-29Version 1

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 emerges. At higher dimension, quenched disorder turns out to be ineffective to influence the universal scaling. This results into 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.