The Heat Equation Shrinks Ising Droplets to Points

DOI10.1002/cpa.21533zbMath1337.82017arXiv1306.4507OpenAlexW2962720598MaRDI QIDQ3192369

Hubert Lacoin, François Simenhaus, Fabio Lucio Toninelli

Publication date: 12 October 2015

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4507

zbMATH Keywords

maximum principlesGlauber dynamicszero temperatureheat-type equationinterface dynamicsdroplet boundary2D stochastic Ising modelcoexisting thermodynamic phasesfixed spin dropletsscaling limit of the droplet evolutionshape contoursshrinking to a pointSpohn's conjecture

Mathematics Subject Classification ID

Heat equation (35K05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Boundary theory for Markov processes (60J50) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (2)

Stability of the uniqueness regime for ferromagnetic Glauber dynamics under non-reversible perturbations ⋮ Lozenge tilings, Glauber dynamics and macroscopic shape

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