Yuri G. Kondratiev, Tobias Kuna, Maria João Oliveira, José Luís da Silva, Ludwig Streit
Published 2009-12-07, updated 2023-03-05Version 2
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.
Journal: In: E. Carlen, P. Goncalves, A. J. Soares (eds) From Particle Systems to Partial Differential Equations. PSPDE 2022. Springer Proceedings in Mathematics & Statistics, vol 465
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Hydrodynamic limit of the Kob-Andersen model
N/V-limit for Stochastic Dynamics in Continuous Particle Systems
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