The dynamic of entropic repulsion

Jean-Dominique Deuschel and Takao Nishikawa

Stochastic Processes and their Applications, 2007, vol. 117, issue 5, 575-595

Abstract: This paper studies the dynamic entropic repulsion for the Ginzburg-Landau [backward difference][phi] interface model on the wall. Depending on the lattice dimension d, the interface is repelled as t-->[infinity] to for d>=3 and logt for d=2. In the harmonic case with a quadratic interaction potential, the exact coefficient is identified. The main tools used are the comparison theorem for the stochastic dynamics and the logarithmic Sobolev inequality.

Keywords: Entropic; repulsion; Ginzburg-Landau; model; Effective; interfaces; Massless; fields (search for similar items in EconPapers)
Date: 2007
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