Nonequilibrium dynamics of a growing interface

Abstract

A growing interface subject to noise is described by the Kardar-Parisi-Zhang equation or, equivalently, the noisy Burgers equation. In one dimension this equation is analyzed by means of a weak noise canonical phase space approach applied to the associated Fokker-Planck equation. The growth morphology is characterized by a gas of nonlinear soliton modes with superimposed linear diffusive modes. We also discuss the ensuing scaling properties.

14 pages, 11 figures, conference proceeding; a few corrections have been added

References in corpus (1)

• Solitons in the noisy Burgers equation

Cited by in corpus (7)

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• Slow relaxation and aging kinetics for the driven lattice gas
• Field-Theoretic Thermodynamic Uncertainty Relation -- General formulation exemplified with the Kardar-Parisi-Zhang equation
• Roughening of the (1+1) interfaces in two-component surface growth with an admixture of random deposition
• Riemann surfaces for KPZ with periodic boundaries
• Brownian bridges for late time asymptotics of KPZ fluctuations in finite volume
• KPZ fluctuations in finite volume