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Large deviations for the Ginzburg–Landau ∇φ interface model
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  • Published: August 2001

Large deviations for the Ginzburg–Landau ∇φ interface model

  • T. Funaki1 &
  • T. Nishikawa1 

Probability Theory and Related Fields volume 120, pages 535–568 (2001)Cite this article

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  • 10 Citations

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Abstract.

Hydrodynamic large scale limit for the Ginzburg-Landau ∇φ interface model was established in [6]. As its next stage this paper studies the corresponding large deviation problem. The dynamic rate functional is given by

for h=h(t,θ),t∈[0,T],θ∈?d, where σ=σ(u) is the surface tension for mean tilt u∈ℝd. Our main tool is H −1-method expoited by Landim and Yau [9]. The relationship to the rate functional obtained under the static situation by Deuschel et al. [3] is also discussed.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan. e-mail: funakims.u-tokyo.ac.jp, nisikawams.u-tokyo.ac.jp, , , , , , JP

    T. Funaki & T. Nishikawa

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  1. T. Funaki
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  2. T. Nishikawa
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Received: 22 February 2000 / Revised version: 19 October 2000 / Published online: 5 June 2001

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Funaki, T., Nishikawa, T. Large deviations for the Ginzburg–Landau ∇φ interface model. Probab Theory Relat Fields 120, 535–568 (2001). https://doi.org/10.1007/PL00008791

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  • Issue Date: August 2001

  • DOI: https://doi.org/10.1007/PL00008791

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  • Mathematics Subject Classification (2000): 60K35, 82C24, 60F10, 35K55
  • Key words or phrases: Large deviations – Hydrodynamic limit – Ginzburg-Landau Model – Effective interfaces – Massless fields
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