On the hydrodynamic limit of a Ginzburg-Landau lattice model. The law of large numbers in arbitrary dimensions

DOI10.1007/BF00319556zbMath0665.60108OpenAlexW1993958269MaRDI QIDQ1116208

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00319556

zbMATH Keywords

asymptotic behaviourinteracting diffusionssystem of stochastic differential equationsGinzburg-Landau lattice modelhydrodynamic behaviour of interacting diffusion processes

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Metastability of Ginzburg-Landau model with a conservation law ⋮ On the diffusive nature of entropy flow in infinite systems: Remarks to a paper by Guo-Papanicolau-Varadhan ⋮ Time dependent critical fluctuations of a one dimensional local mean field model ⋮ A boundary driven generalized contact process with exchange of particles: hydrodynamics in infinite volume ⋮ Derivation of a hydrodynamic equation for Ginzburg-Landau models in an external field ⋮ Lozenge tiling dynamics and convergence to the hydrodynamic equation ⋮ Hydrodynamic limit for a system with finite range interactions ⋮ Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium ⋮ Relative entropy and hydrodynamics of Ginzburg-Landau models ⋮ Hydrodynamics in a symmetric random medium ⋮ The hydrodynamic limit for a system with interactions prescribed by Ginzburg-Landau type random Hamiltonian

Cites Work

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