Revisiting the Meandering Instability During Step-Flow Epitaxy

Morphological instability during directional epitaxy

We consider the stability of a single step during epitaxial growth of a monolayer on a continuously supplied substrate in the presence of an imposed gradient in the deposition rate along the direction of growth. This allows control of instabilities that arise from asymmetries in the supply of atoms attaching from the upper and lower side of the step. We consider both a linear stability analysis...

The meandering instability of a viscous thread

Stephen W. Morris, Jonathan H.P. Dawes, Neil M. Ribe, and John R. Lister Department of Physics, University of Toronto, 60 St. George St., Toronto, Ontario, Canada M5S 1A7 2 DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA 3 Dynamique des Fluides Géologiques, IPGP et Université de Paris-7, CNRS, Tour 14, 2, place Jussieu, 75005 Paris, France (...

Convective instability of strained layer step-flow

We examine an epitaxial crystal growth model in the context of absolute and convective instabilities and show that a strain-induced step bunching instability can be convective. Using analytic stability theory and numerical simulations, we study the response of the crystal surface to an inhomogeneous deposition flux that launches impulsive and time-periodic perturbations to a uniform array of st...

Convective nature of planimetric instability in meandering

Meandering instability of air flow in a granular bed: self-similarity and fluid-solid duality

Meandering instability is familiar to everyone through river meandering or small rivulets of rain flowing down a windshield. However, its physical understanding is still premature, although it could inspire researchers in various fields, such as nonlinear science, fluid mechanics and geophysics, to resolve their long-standing problems. Here, we perform a small-scale experiment in which air flow...