Siegert, Martin; Plischke, Michael:

Instability in surface growth with diffusion

In: Physical review letters, Jg. 68 (1992) ; Nr. 13, S. 2035-2038
ISSN: 0031-9007
Zeitschriftenaufsatz / Fach: Physik
A model for surface growth with some of the features of molecular-beam epitaxy is proposed and investigated.
Particles are deposited randomly on a one-dimensional substrate and the surface relaxes
through diffusion processes, which obey detailed balance. The model undergoes a phase transition from
a rough phase to a grooved phase. Both phases display scaling in space and time, with equal exponents.
We also propose a Langevin equation which should describe this growth process and show that this equation
contains an infinite number of relevant terms.