Interface Collisions
arXiv:1902.00984 · doi:10.1103/PhysRevE.97.040801
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.
arXiv commentPaper with 12 pages and 2 figures; supplemental material with 4 pages and 3 figures
References in corpus (16)
- Imaging Grains and Grain Boundaries in Single-Layer Graphene: An Atomic Patchwork Quilt
- Level-Spacing Distributions and the Airy Kernel
- Control and Characterization of Individual Grains and Grain Boundaries in Graphene Grown by Chemical Vapor Deposition
- Persistence and First-Passage Properties in Non-equilibrium Systems
- The one-dimensional KPZ equation: an exact solution and its universality
- Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals
- An exact solution for the KPZ equation with flat initial conditions
- Mean first-passage times of non-Markovian random walkers in confinement
- Stable ultrahigh-density magneto-optical recordings using introduced linear defects
- Thermal boundary conductance across rough interfaces probed by molecular dynamics
- Large Deviations of Surface Height in the Kardar-Parisi-Zhang Equation
- Experimental evidence for three universality classes for reaction fronts in disordered flows
- Range Expansion with Mutation and Selection: Dynamical Phase Transition in a Two-Species Eden Model
- Memory and universality in interface growth
- Scaling of local interface width of statistical growth models
- Non-universal parameters, corrections and universality in Kardar-Parisi-Zhang growth