The hydrodynamic limit for a system with interactions prescribed by Ginzburg-Landau type random Hamiltonian

DOI10.1007/BF01192142zbMath0729.60105MaRDI QIDQ806214

Tadahisa Funaki

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

microscopic modelhydrodynamic scalinghydrodynamic space-time scalinglaw of large numbers for Gibbs statessystem of interacting continuumtotal spin of the system

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

The scaling limit for a stochastic PDE and the separation of phases

Cites Work

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• Hydrodynamic limit for a system with finite range interactions
• On the stochastic quantization of field theory
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• Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model
• Derivation of a hydrodynamic equation for Ginzburg-Landau models in an external field
• Decay of correlations under Dobrushin's uniqueness condition and its applications
• The reversible measures of multi-dimensional Ginzburg-Landau type continuum model
• Regularity properties for stochastic partial differential equations of parabolic type
• Hydrodynamics in a symmetric random medium
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
• On the diffusive nature of entropy flow in infinite systems: Remarks to a paper by Guo-Papanicolau-Varadhan

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