Microscopic origin of hydrodynamic equations: Derivation and consequences (Q1116745)
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scientific article; zbMATH DE number 4090982
| Language | Label | Description | Also known as |
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| English | Microscopic origin of hydrodynamic equations: Derivation and consequences |
scientific article; zbMATH DE number 4090982 |
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Microscopic origin of hydrodynamic equations: Derivation and consequences (English)
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1986
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We describe some recent progress in deriving autonomous hydrodynamic type equations for macroscopic variables from model stochastic microscopic dynamics of particles on a lattice. The derivations also yield the microscopic fluctuations about the deterministic macroscopic evolution. These grow, with time, to become infinite when the deterministic solution is unstable. A form of microscopic pattern selection is also found.
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autonomous hydrodynamic type equations
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macroscopic variables
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model stochastic microscopic dynamics
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particles on a lattice
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microscopic fluctuations
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