The initial drift of a 2D droplet at zero temperature

DOI10.1007/s00440-006-0007-4zbMath1106.60080arXivmath/0411545OpenAlexW2042089888MaRDI QIDQ863488

Raphaël Cerf, Sana Louhichi

Publication date: 26 January 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411545

zbMATH Keywords

Markov processGlauber dynamicsVelocity2D Ising modelMean curvature

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

The Scaling Limit for Zero-Temperature Planar Ising Droplets: With and Without Magnetic Fields ⋮ The Heat Equation Shrinks Ising Droplets to Points ⋮ Zero-temperature 2D stochastic Ising model and anisotropic curve-shortening flow

Cites Work

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• Invariant measures for the zero range process
• Interface motion in models with stochastic dynamics
• Stochastic Ising models and anisotropic front propagation
• Lifshitz' law for the volume of a two-dimensional droplet at zero temperature.
• Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics
• Hydrodynamical limits and geometric measure theory: mean curvature limits from a threshold voter model
• Motion by curvature by scaling nonlocal evolution equations
• Hydrodynamic limits for one-dimensional particle systems with moving boundaries
• Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics

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