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Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems

Authors :
Kondratiev, Yuri G.
Kuna, Tobias
Oliveira, Maria João
da Silva, José Luís
Streit, Ludwig
Publication Year :
2009

Abstract

An infinite particle system of independent jumping particles in infinite volume is considered. Their construction 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 long time asymptotic is computed under an extra assumption. The relation with constructions based on infinite volume limits is discussed.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0912.1312
Document Type :
Working Paper