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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2015

Spherical model of growing interfaces

Malte Henkel
Xavier Durang

Résumé

Building on an analogy between the ageing behaviour of magnetic systems and growing interfaces, the Arcetri model, a new exactly solvable model for growing interfaces is introduced, which shares many properties with the kinetic spherical model. The long-time behaviour of the interface width and of the two-time correlators and responses is analysed. For all dimensions d not equal 2, universal characteristics distinguish the Arcetri model from the Edwards-Wilkinson model, although for d > 2 all stationary and non-equilibrium exponents are the same. For d = 1 dimensions, the Arcetri model is equivalent to the p = 2 spherical spin glass. For 2 < d < 4 dimensions, its relaxation properties are related to the ones of a particle-reaction model, namely a bosonic variant of the diffusive pair-contact process. The global persistence exponent is also derived.

Dates et versions

hal-01281611 , version 1 (02-03-2016)

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Malte Henkel, Xavier Durang. Spherical model of growing interfaces. Journal of Statistical Mechanics: Theory and Experiment, 2015, ⟨10.1088/1742-5468/2015/05/P05022⟩. ⟨hal-01281611⟩
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