Changing growth conditions during surface growth

Abstract

Motivated by a series of experiments that revealed a temperature dependence of the dynamic scaling regime of growing surfaces, we investigate theoretically how a nonequilibrium growth process reacts to a sudden change of system parameters. We discuss quenches between correlated regimes through exact expressions derived from the stochastic Edwards-Wilkinson equation with a variable diffusion constant. Our study reveals that a sudden change of the diffusion constant leads to remarkable changes in the surface roughness. Different dynamic regimes, characterized by a power-law or by an exponential relaxation, are identified, and a dynamic phase diagram is constructed. We conclude that growth processes provide one of the rare instances where quenches between correlated regimes yield a power-law relaxation.

8 pages, 5 figures, to appear in Phys. Rev. E

References in corpus (6)

• Local scale-invariance and ageing in noisy systems
• Symmetry based determination of space-time functions in nonequilibrium growth processes
• Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line
• Parameter free scaling relation for nonequilibrium growth processes
• Aging dynamics of non-linear elastic interfaces: the Kardar-Parisi-Zhang equation
• Dynamic crossover in the global persistence at criticality

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• Field-Theoretic Thermodynamic Uncertainty Relation -- General formulation exemplified with the Kardar-Parisi-Zhang equation
• Spherical model of growing interfaces
• Characterisation of non-equilibrium growth through global two-time quantities
• Thin film deposition with time varying temperature
• Kinetic roughening, global quantities, and fluctuation-dissipation relations
• Anomalous roughening in competitive growth models with time-decreasing rates of correlated dynamics
• Relaxation after a change in the interface growth dynamics
• Resonant Response in Non-equilibrium Steady States