A $(2+1)$-dimensional anisotropic KPZ growth model with a smooth phase

DOI10.1007/s00220-019-03402-xzbMath1428.82046arXiv1802.05493OpenAlexW3103275188WikidataQ128175929 ScholiaQ128175929MaRDI QIDQ1741657

Fabio Lucio Toninelli, Sunil Chhita

Publication date: 6 May 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05493

zbMATH Keywords

renormalization grouptilingsGibbs measureKPZ growth model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Hamilton-Jacobi equations (35F21)

Related Items

Constructing a solution of the \((2+1)\)-dimensional KPZ equation, On the domino shuffle and matrix refactorizations, Initial transient growth in polynuclear models for crystal layers and epitaxial films, Irreversible Markov dynamics and hydrodynamics for KPZ states in the stochastic six vertex model, 2D anisotropic KPZ at stationarity: scaling, tightness and nontriviality, The domino shuffling algorithm and anisotropic KPZ stochastic growth, Hydrodynamic limit of a \((2+1)\)-dimensional crystal growth model in the anisotropic KPZ class

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Domino statistics of the two-periodic Aztec diamond
• Solving the KPZ equation
• Anisotropic growth of random surfaces in \({2+1}\) dimensions
• A combinatorial identity for the speed of growth in an anisotropic KPZ model
• The one-dimensional KPZ equation and its universality class
• Alternating-sign matrices and domino tilings. I
• A complementation theorem for perfect matchings of graphs having a cellular completion
• Generalized domino-shuffling.
• A \((2+1)\)-dimensional growth process with explicit stationary measures
• The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher
• The two-periodic Aztec diamond and matrix valued orthogonal polynomials
• Speed and fluctuations for some driven dimer models
• Lozenge tilings, Glauber dynamics and macroscopic shape
• Dimers and amoebae
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Lectures on Dimers
• Dynamic Scaling of Growing Interfaces
• (2 + 1)-DIMENSIONAL INTERFACE DYNAMICS: MIXING TIME, HYDRODYNAMIC LIMIT AND ANISOTROPIC KPZ GROWTH
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
• Dimers and cluster integrable systems
• On the Diffeomorphisms of Euclidean Space