Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems
Probability
2024-12-20 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0912.1312,
title = {Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems},
author = {Yuri G. Kondratiev and Tobias Kuna and Maria João Oliveira and José Luís da Silva and Ludwig Streit},
journal= {arXiv preprint arXiv:0912.1312},
year = {2024}
}