Coupling of morphology to surface transport in ion-beam irradiated surfaces. I. Oblique incidence
arXiv:0805.3985 · doi:10.1103/PhysRevB.78.205408
Abstract
We propose and study a continuum model for the dynamics of amorphizable surfaces undergoing ion-beam sputtering (IBS) at intermediate energies and oblique incidence. After considering the current limitations of more standard descriptions in which a single evolution equation is posed for the surface height, we overcome (some of) them by explicitly formulating the dynamics of the species that transport along the surface, and by coupling it to that of the surface height proper. In this we follow recent proposals inspired by ``hydrodynamic'' descriptions of pattern formation in aeolian sand dunes and ion-sputtered systems. From this enlarged model, and by exploiting the time-scale separation among various dynamical processes in the system, we derive a single height equation in which coefficients can be related to experimental parameters. This equation generalizes those obtained by previous continuum models and is able to account for many experimental features of pattern formation by IBS at oblique incidence, such as the evolution of the irradiation-induced amorphous layer, transverse ripple motion with non-uniform velocity, ripple coarsening, onset of kinetic roughening and other. Additionally, the dynamics of the full two-field model is compared with that of the effective interface equation.
arXiv comment23 pages, 14 figures. Movies of figures 6, 7, and 8 available at http://gisc.uc3m.es/~javier/Movies/
References in corpus (16)
- Dynamic Scaling of Ion-Sputtered Surfaces
- Ion-Induced Surface Diffusion in Ion Sputtering
- Self-Organized Ordering of Nanostructures Produced by Ion-Beam Sputtering
- Dynamics of ripple formation in sputter erosion: nonlinear phenomena
- Non-linear ripple dynamics on amorphous surfaces patterned by ion-beam sputtering
- On the stabilization of ion sputtered surfaces
- Dynamics of aeolian sand ripples
- Kinetic Roughening of Ion-Sputtered Pd(001) Surface: Beyond the Kuramoto-Sivashinsky Model
- Ripples and Ripples
- Influence of Collision Cascade Statistics on Pattern Formation of Ion-Sputtered Surfaces
- Wavelength Tunability of Ion-bombardment Induced Ripples on Sapphire
- Short-range stationary patterns and long-range disorder in an evolution equation for one-dimensional interfaces
- A model for ripple instabilities in granular media
- Surface instabilities in granular matter and ion-sputtered surfaces
- Hydrodynamics of the Kuramoto-Sivashinsky Equation in Two Dimensions
- Generic equations for pattern formation in evolving interfaces
Cited by in corpus (6)
- Hydrodynamic approach to surface pattern formation by ion beams
- Ion induced solid flow
- Solid flow drives surface nanopatterning by ion-beam irradiation
- The crater function approach to ion-induced nanoscale pattern formation: Craters for flat surfaces are insufficient
- Symmetry of surface nanopatterns induced by ion-beam sputtering: the role of anisotropic surface diffusion
- Ripples and dots generated by lattice gases