Hydrodynamic limit for a certain class of two-species zero-range processes

DOI10.2969/jmsj/06820885zbMath1342.60175OpenAlexW2342240709MaRDI QIDQ296566

Kenkichi Tsunoda

Publication date: 23 June 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1460727386

zbMATH Keywords

hydrodynamic limitcross-diffusion systemtwo-species zero-range processes

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Diffusion processes (60J60) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles

Cites Work

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• Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes
• Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
• Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Stationary measures and hydrodynamics of zero range processes with several species of particles
• A link between microscopic and macroscopic models of self-organized aggregation

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