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References (9)
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and F -
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Waves and TurbulenceRadio Science, 4
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(1984)
Chemical Osillation -
We take "interface" or "height" equation in the restricted sense that physics is invariant under global height shifts h(x, t) → h(x, t) + const -
C. Rhodes, Eugene Stanley (1996)
Fractal Concepts in Surface GrowthZeitschrift für Physikalische Chemie, 193
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By defining l ocal width as w 2 (x0) = D P xˆh (x, t) −hx 0˜2 /x0 E we have W = w(x0 = L) -
(1995)
Politi and C . Misbah -
(2006)
Phys -
(2000)
The stochastic version of this 2d equation was previously derived in the context of amorphous thin film growth, see
- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 2006 The American Physical Society
- ISSN
- 1550-2376
- DOI
- 10.1103/PhysRevE.74.050103
- pmid
- 17279865
- Publisher site
- See Article on Publisher Site
Abstract
A local evolution equation for one-dimensional interfaces is derived in the context of erosion by ion beam sputtering. We present numerical simulations of this equation which show interrupted coarsening in which an ordered cell pattern develops with constant wavelength and amplitude at intermediate distances, while the profile is disordered and rough at larger distances. Moreover, for a wide range of parameters the lateral extent of ordered domains ranges up to tens of cells. We also provide analytical estimates for the stationary pattern wavelength and mean growth velocity.
Journal
Physical Review E – American Physical Society (APS)
Published: Nov 1, 2006