Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems

Details Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems

2009-12-07

arxiv.org/abs/0912.1312v1

Mathematics

Probability

Scientific paper

An infinite particle system of independent jumping particles is considered. Their constructions is recalled, further properties are derived, the relation with hierarchical equations, Poissonian analysis, and second quantization are discussed. The hydrodynamic limit for a general initial distribution satisfying a mixing condition is derived. The large time asymptotic is computed under an extra assumption.

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