Quasiperiodic behaviour in growth oscillations

Abstract

A very large class of kinetic growth processes manifest oscillatory behaviour in a variety of physical quantities such as the propagation of the growing interface and the density of the resulting cluster. The authors demonstrate that these oscillations should generically display quasiperiodic behaviour. Using a formalism based on the projection method for quasicrystalline spectra, they elucidate general features such as the dominant frequency and amplitude of the oscillations. They also briefly discuss the effects of interfacial roughening on the spectra of the oscillations.