Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits

作者: Hao Shen , Hendrik Weber

DOI: 10.1016/J.JFA.2017.12.014

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摘要: Abstract We study the Glauber dynamics of a two dimensional Blume–Capel model (or dilute Ising model) with Kac potential parametrized by ( β , θ ) – “inverse temperature” and “chemical potential”. prove that locally averaged spin field rescales to solution dynamical Φ 4 equation near curve in plane 6 one point on this curve. Our proof relies discrete implementation Da Prato–Debussche method [13] as [33] but an additional coupling argument is needed show convergence linearized dynamics.

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