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Growth exponents of the etching model in high dimensions | | Evandro A Rodrigues
; Bernardo A Mello
; Fernando A Oliveira
; | | Date: |
18 Jul 2017 | | Abstract: | In this work we generalize the etching model (Mello et al 2001 Phys. Rev. E
63 041113) to d + 1 dimensions. The dynamic exponents of this model are
compatible with those of the Kardar-Parisi-Zhang universality class. We
investigate the roughness dynamics with surfaces up to d=6. We show that the
data from all substrate lengths and for all dimensions can be collapsed into
one common curve. We determine the dynamic exponents as a function of the
dimension. Moreover, our results suggest that d=4 is not an upper critical
dimension for the etching model, and that it fulfills the Galilean invariance. | | Source: | arXiv, 1707.5693 | | Services: | Forum | Review | PDF | Favorites | |
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