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cond-mat.stat-mech2023★ 2 cited
Effect of random environment on kinetic roughening: Kardar-Parisi-Zhang model with a static noise coupled to the Navier-Stokes equation
N. V. Antonov, P. I. Kakin, M. A. Reiter
Kinetic roughening of a randomly growing surface can be modelled by the Kardar-Parisi-Zhang equation with a time-independent (``spatially quenched'' or ``columnar'') random noise.…
cond-mat.stat-mech2023★ 6 cited
Random Walk on a Rough Surface: Renormalization Group Analysis of a Simple Model
N. V. Antonov, N. M. Gulitskiy, P. I. Kakin +1
The field theoretic renormalization group is applied to a simple model of random walk on a rough fluctuating surface. We consider the Fokker--Planck equation for a particle in a un…