Interface Collisions

Abstract

We provide a theoretical framework to analyze the properties of frontal collisions of two growing interfaces considering different short range interactions between them. Due to their roughness, the collision events spread in time and form rough domain boundaries, which defines collision interfaces in time and space. We show that statistical properties of such interfaces depend on the kinetics of the growing interfaces before collision, but are independent of the details of their interaction and of their fluctuations during the collision. Those properties exhibit dynamic scaling with exponents related to the growth kinetics, but their distributions may be non-universal. These results are supported by simulations of lattice models with irreversible dynamics and local interactions. Relations to first passage processes are discussed and a possible application to grain boundary formation in two-dimensional materials is suggested.

Paper with 12 pages and 2 figures; supplemental material with 4 pages and 3 figures

References in corpus (5)

• Control and Characterization of Individual Grains and Grain Boundaries in Graphene Grown by Chemical Vapor Deposition
• An exact solution for the KPZ equation with flat initial conditions
• Mean first-passage times of non-Markovian random walkers in confinement
• Thermal boundary conductance across rough interfaces probed by molecular dynamics
• Memory and universality in interface growth