Article Dans Une Revue EPL - Europhysics Letters Année : 2013

Morphology transition at depinning in a solvable model of interface growth in a random medium

Résumé

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.

Dates et versions

hal-01053604 , version 1 (31-07-2014)

Identifiants

Citer

Hiroki Ohta, Martin-Luc Rosinberg, Gilles Tarjus. Morphology transition at depinning in a solvable model of interface growth in a random medium. EPL - Europhysics Letters, 2013, 104 (1), pp.16003. ⟨10.1209/0295-5075/104/16003⟩. ⟨hal-01053604⟩
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