4 papers
Continuum models for surface growth
Martin Rost
As an introductory lecture to the workshop an overview is given over continuum models for homoepitaxial surface growth using partial differential equations (PDEs). Their {\em heuri…
Modes of speciation in heterogeneous space
Martin Rost, Michael Lässig
Modes of speciation have been the subject of a century's debate. Traditionally, most speciations are believed to be caused by spatial separation of populations (allopatry). Recent…
Growth enhanced surface diffusion and elastic instability on amorphous solids
Martin Rost
A continuum model for growth of solids is developed, considering adatom deposition, surface diffusion, and configuration dependent incorporation rate. For amorphous solids it is re…
Linear theory of unstable growth on rough surfaces
Joachim Krug, Martin Rost
Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width is governed by three length scales: The charac…