Spherical model of growing interfaces. (19th May 2015)

• Record Type: Journal Article
• Authors: Henkel, Malte; Durang, Xavier
• Is Part Of: Journal of statistical mechanics. (2015:May)
• Publication Date: 2015-05-19
• Subjects: 4 -- 11 -- 7; 4/030 -- 11/020 -- 4/100 -- 7/140; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/05/P05022
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: 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 ≠ 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.