The dynamic of entropic repulsion

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.

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Year of publication:	2007
Authors:	Deuschel, Jean-Dominique ; Nishikawa, Takao
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 117.2007, 5, p. 575-595
Publisher:	Elsevier
Keywords:	Entropic repulsion Ginzburg-Landau model Effective interfaces Massless fields

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874793