Multifractal behavior of the surfaces evolved with surface relaxation.
A discrete model exhibiting conserved dynamics with nonconserved noise involving particles of different nature, termed as linear and nonlinear, is proposed here. The morphology of the surface has been studied with different abundances of these particles. The saturated surface, slowly evolved from a lower contribution of nonlinear particles to a higher contribution of nonlinear particles, splits into four distinct scaling regimes with three crossover lengths. Each regime is characterized by different scaling property. It is shown that when the contribution of the nonlinear particles crosses a critical value, the surface morphology shows a linear-nonlinear "phase transition." The roughness exponent in a nonlinear regime is well compared with that of the continuum nonlinear equation in a molecular beam epitaxy (MBE) class as well as a MBE motivated discrete model.
Mandal
Pradipta Kumar
PK
Department of Physics, University of Calcutta, 92 APC Road, Kolkata, India.
Jana
Debnarayan
D