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