The role of the non-linearity in controlling the surface roughness in the one-dimensional Kardar–Parisi–Zhang growth process

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 54; no. 15; p. 154002
• Main Authors: Priyanka, Täuber, Uwe C, Pleimling, Michel
• Format: Journal Article
• Language: English
• Published: 16.04.2021

We explore linear control of the one-dimensional non-linear Kardar–Parisi–Zhang (KPZ) equation with the goal to understand the effects the control process has on the dynamics and on the stationary state of the resulting stochastic growth kinetics. In linear control, the intrinsic non-linearity of th...