Dynamic entropic repulsion for interacting interfaces

Takao Nishikawa

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arXiv · 1206.3832

Dynamic entropic repulsion for interacting interfaces

Takao Nishikawa

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Abstract

The dynamic entropic repulsion for the Ginzburg-Landau $\nablaϕ$ interface model was discussed in [Deuschel-N. 2007] and the asymptotics of the height of the interface was identified. This paper studies a similar problem for two interfaces on the wall which are interacting with one another by the exclusion rule. Each leading order of the asymptotics of height is $\sqrt{\log t}$ as $t\to\infty$ for the system on $\integer^d,\,d\ge3$, $\log t$ for the system on $\integer^2$. The coefficient of the leading term for each interface is also identified.

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BibTeX RIS

Takao Nishikawa. 2012-06-19. Dynamic entropic repulsion for interacting interfaces. https://arxiv.org/abs/1206.3832

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