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arXiv · 1704.02316

Universality class change due to angle of deposition of thin-film growth by random particles aggregation

A. C. A. Vilas Boas·F. L. Forgerini
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Abstract

In this work we study numerically the effects of the angle of deposition of particles in the growth process of a thin-film generated by aggregation of particles added at random. The particles are aggregated in a random position of an initially flat surface and with a given angle distribution. This process gives rise to a rough interface after some time of deposition. We performed Monte Carlo simulations and, by changing the angle of deposition, we observed a transition from the random deposition (RD) universality class to the Kardar-Parisi-Zhang (KPZ) universality class. We measured the usual scaling exponents, namely, the roughness ($α$), the growth ($β$) and the dynamic ($z$) exponents. Our results show that the particles added non-perpendicularly to the substrate, can change the universality class in a discrete atomistic random deposition model. When particles are deposited with an angle of $45^{\circ}$ in relation to the surface, the same values of the Ballistic Deposition model are observed in the Random Deposition model. We also propose an analytic approach, using a differential stochastic equation to analyze the growth process evolution, and our theoretical results corroborate the computer simulations.

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A. C. A. Vilas Boas, F. L. Forgerini. 2017-04-07. Universality class change due to angle of deposition of thin-film growth by random particles aggregation. https://doi.org/10.14808/sci.plena.2017.114801

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