Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure

Abstract

In [arXiv:0804.3035] we studied an interacting particle system which can be also interpreted as a stochastic growth model. This model belongs to the anisotropic KPZ class in 2+1 dimensions. In this paper we present the results that are relevant from the perspective of stochastic growth models, in particular: (a) the surface fluctuations are asymptotically Gaussian on a sqrt(ln(t)) scale and (b) the correlation structure of the surface is asymptotically given by the massless field.

13 pages, 4 figures

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Cited by in corpus (17)

• Effects of Particle Shape on Growth Dynamics at Edges of Evaporating Colloidal Drops
• Anisotropic growth of random surfaces in 2+1 dimensions
• The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class
• Limit process of stationary TASEP near the characteristic line
• From interacting particle systems to random matrices
• Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• Strong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation
• A (2+1)-dimensional growth process with explicit stationary measures
• Why random matrices share universal processes with interacting particle systems?
• Statistics of layered zigzags: a two-dimensional generalization of TASEP
• Two-dimensional Anisotropic KPZ growth and limit shapes
• Crystal Growth Inside an Octant
• Dimers and orthogonal polynomials: connections with random matrices
• Hydrodynamic limit and viscosity solutions for a 2D growth process in the anisotropic KPZ class
• Hydrodynamic Limit of a (2+1)-Dimensional Crystal Growth Model in the Anisotropic KPZ Class
• Two constructions of Markov chains on the dual of U(n)
• Disordered statistical physics in low dimensions: extremes, glass transition, and localization