Large deviations for the Ginzburg-Landau ?? interface model

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• 作者：T. Funaki and T. Nishikawa
• 关键词：Mathematics Subject Classification (2000) ; 60K35 ; 82C24 ; 60F10 ; 35K55
• 刊名：Probability Theory and Related Fields
• 出版年：2001
• 出版时间：August 2001
• 年：2001
• 卷：120
• 期：4
• 页码：535-568
• 全文大小：242 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Probability Theory and Stochastic Processes
  Mathematical and Computational Physics
  Quantitative Finance
  Mathematical Biology
  Statistics for Business, Economics, Mathematical Finance and Insurance
  Operation Research and Decision Theory
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-2064

文摘

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∈? d . 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.