Bulk diffusion in a system with site disorder

DOI10.1214/009117906000000322zbMath1104.60066arXivmath/0601124OpenAlexW2024192401MaRDI QIDQ858989

Jeremy Quastel

Publication date: 12 January 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601124

zbMATH Keywords

disordered systemshydrodynamic limit

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (17)

Hydrodynamic limit of the zero range process on a randomly oriented graph ⋮ Hydrodynamic Limit of the Exclusion Process in Inhomogeneous Media ⋮ Bulk diffusion in a system with site disorder ⋮ On a nonlinear SPDE derived from a hydrodynamic limit in a Sinai-type random environment ⋮ Spectral gap for multicolor nearest-neighbor exclusion processes 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 ⋮ Heat conduction and the nonequilibrium stationary states of stochastic energy exchange processes ⋮ Hydrodynamic scaling limit of continuum solid-on-solid model ⋮ Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient ⋮ Spectral gap for multi-species exclusion processes ⋮ Equilibrium fluctuations for the disordered harmonic chain perturbed by an energy conserving noise ⋮ Lattice gas model in random medium and open boundaries: Hydrodynamic and relaxation to the steady state ⋮ Einstein relation and linear response in one-dimensional Mott variable-range hopping ⋮ Diffusion Coefficient for the Disordered Harmonic Chain Perturbed by an Energy Conserving Noise ⋮ Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization

Cites Work

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• Hydrodynamics in a symmetric random medium
• Uniform Poincaré inequalities for unbounded conservative spin systems: the non-interacting case.
• Impurity Conduction at Low Concentrations
• Diffusion of color in the simple exclusion process

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