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Short-range stationary patterns and long-range disorder in an evolution equation for one-dimensional interfaces

J. Muñoz-Garcia, R. Cuerno, M. Castro

Physical Review E Vol. 74, nº. 5, pp. 050103.1 - 050103.4

Resumen:

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.


Palabras Clave: ion-sputtered surfaces, aeolian sand ripples, thin-film growth, instabilities, model


Índice de impacto JCR y cuartil WoS: 2,438 - Q1 (2006); 2,200 - Q1 (2023)

Referencia DOI: DOI icon https://doi.org/10.1103/PhysRevE.74.050103

Publicado en papel: Noviembre 2006.

Publicado on-line: Noviembre 2006.



Cita:
J. Muñoz-Garcia, R. Cuerno, M. Castro, Short-range stationary patterns and long-range disorder in an evolution equation for one-dimensional interfaces. Physical Review E. Vol. 74, nº. 5, pp. 050103.1 - 050103.4, Noviembre 2006. [Online: Noviembre 2006]


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