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The dynamic of entropic repulsion

Author

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  • Deuschel, Jean-Dominique
  • Nishikawa, Takao

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.

Suggested Citation

  • Deuschel, Jean-Dominique & Nishikawa, Takao, 2007. "The dynamic of entropic repulsion," Stochastic Processes and their Applications, Elsevier, vol. 117(5), pages 575-595, May.
    • Handle: RePEc:eee:spapps:v:117:y:2007:i:5:p:575-595
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    References listed on IDEAS

    as
    1. Caputo, P. & Velenik, Y., 2000. "A note on wetting transition for gradient fields," Stochastic Processes and their Applications, Elsevier, vol. 87(1), pages 107-113, May.
    2. Ferrari, Pablo A. & Fontes, Luiz R. G. & Niederhauser, Beat M. & Vachkovskaia, Marina, 2004. "The serial harness interacting with a wall," Stochastic Processes and their Applications, Elsevier, vol. 114(1), pages 175-190, November.
    3. Deuschel, Jean-Dominique & Zambotti, Lorenzo, 2005. "Bismut-Elworthy's formula and random walk representation for SDEs with reflection," Stochastic Processes and their Applications, Elsevier, vol. 115(6), pages 907-925, June.
    4. Deuschel, Jean-Dominique & Giacomin, Giambattista, 2000. "Entropic repulsion for massless fields," Stochastic Processes and their Applications, Elsevier, vol. 89(2), pages 333-354, October.
    Full references (including those not matched with items on IDEAS)

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