Singular diffusion limits of a class of reversible self-organizing particle systems (Q688049)
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scientific article; zbMATH DE number 440240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular diffusion limits of a class of reversible self-organizing particle systems |
scientific article; zbMATH DE number 440240 |
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Singular diffusion limits of a class of reversible self-organizing particle systems (English)
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17 April 1994
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The authors prove convergence of a class of attractive, reversible particle systems with infinite range of interaction in the hydrodynamic limit. The limit dynamics is given by a nonlinear diffusion equation with density dependent diffusion coefficients, which have a singularity at a critical value of the density. This singular behaviour is related to self-organized criticality of open systems.
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self-organized criticality
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reversible particle systems
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infinite range of interaction
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hydrodynamic limit
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