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Morphology transition at depinning in a solvable model of interface growth in a random medium | | Hiroki Ohta
; Martin-Luc Rosinberg
; Gilles Tarjus
; | | Date: |
27 Jun 2013 | | Abstract: | We propose a simple, exactly solvable, model of interface growth in a random
medium that is a variant of the zero-temperature random-field Ising model on
the Cayley tree. This model is shown to have a phase diagram (critical
depinning field versus disorder strength) qualitatively similar to that
obtained numerically on the cubic lattice. We then introduce a specifically
tailored random graph that allows an exact asymptotic analysis of the height
and width of the interface. We characterize the change of morphology of the
interface as a function of the disorder strength, a change that is found to
take place at a multicritical point along the depinning-transition line. | | Source: | arXiv, 1306.6368 | | Services: | Forum | Review | PDF | Favorites | |
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