Scaling limit for a mechanical system of interacting particles

DOI10.1007/BF02102432zbMath0851.60097OpenAlexW2022619095MaRDI QIDQ1918089

Kôhei Uchiyama

Publication date: 4 November 1996

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

Full work available at URL: https://doi.org/10.1007/bf02102432

zbMATH Keywords

porous media equationreflecting boundarieshydrodynamic limit of diffusion typerepulsive pair-potential

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Many-body theory; quantum Hall effect (81V70)

Related Items (2)

Behavior of solutions to the initial-value problem for a class of integro-differential equations ⋮ A microscopic mechanism for the porous medium equation

Cites Work

• Unnamed Item
• On the asymptotic behaviour of Spitzer's model for evolution of one- dimensional point systems
• Time evolution of a one-dimensional point system: A note on Fritz's paper
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• On the asymptotic behaviour of infinite gradient systems
• Hydrodynamic limit for a spin system on a multidimensional lattice
• Scaling limits of interacting diffusions with arbitrary initial distributions
• The hydrodynamic limit of a one-dimensional nearest neighbor gradient system.
• Scaling limits for interacting diffusions
• Scaling limit for interacting Ornstein-Uhlenbeck processes

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