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Interface motion in random media | | Thierry Bodineau
; Augusto Teixeira
; | | Date: |
20 Nov 2013 | | Abstract: | We study the pinning phase transition for discrete surface dynamics in random
environments. A renormalization procedure is devised to prove that the
interface moves with positive velocity under a finite size condition. This
condition is then checked for different examples of microscopic dynamics to
illustrate the flexibility of the method. We show in our examples the existence
of a phase transition for various models, including high dimensional
interfaces, dependent environments and environments with arbitrarily deep
obstacles. Finally, our ballisticity criterion is proved to be valid up to the
critical threshold for a Lipschitz interface model. | | Source: | arXiv, 1311.5138 | | Services: | Forum | Review | PDF | Favorites | |
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