Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems

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.

References in corpus (5)

• Markov evolutions and hierarchical equations in the continuum I. One-component systems
• Existence and spatial limit theorems for lattice and continuum particle systems
• Convergence of Mayer and Virial expansions and the Penrose tree-graph identity
• The full infinite dimensional moment problem on semi-algebraic sets of generalized functions
• The full moment problem on subsets of probabilities and point configurations