Hydrodynamics in a symmetric random medium

DOI10.1007/BF01217766zbMath0682.76001OpenAlexW2035095225MaRDI QIDQ1824468

Yanyan Li

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01217766

zbMATH Keywords

conservation lawrandom walkone-dimensional Ginzburg-Landau modelone-dimensional lattice system of continuous spinsrandom conductivities

Mathematics Subject Classification ID

Diffusion (76R50) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random materials and composite materials (74A40) Foundations of fluid mechanics (76A02)

Related Items

A gradient flow approach to large deviations for diffusion processes ⋮ Hydrodynamic Limit of the Exclusion Process in Inhomogeneous Media ⋮ Bulk diffusion in a system with site disorder ⋮ Homogenization results for a linear dynamics in random Glauber type environment ⋮ Euler hydrodynamics for attractive particle systems in random environment ⋮ Scaling limits for gradient systems in random environment ⋮ Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient ⋮ Symmetric simple exclusion process in dynamic environment: hydrodynamics ⋮ Equilibrium fluctuations for the disordered harmonic chain perturbed by an energy conserving noise ⋮ The hydrodynamic limit for a system with interactions prescribed by Ginzburg-Landau type random Hamiltonian

Cites Work

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• Nonlinear diffusion limit for a system with nearest neighbor interactions
• On the hydrodynamic limit of a Ginzburg-Landau lattice model. The law of large numbers in arbitrary dimensions
• Derivation of a hydrodynamic equation for Ginzburg-Landau models in an external field
• On the hydrodynamic limit of a one-dimensional Ginzburg-Landau lattice model. The a priori bounds
• Large deviations from a hydrodynamic scaling limit
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• On the derivation of the equations of hydrodynamics from statistical mechanics

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