Kondratiev, Yuri G.Kuna, TobiasOliveira, Maria JoãoSilva, José Luís daStreit, Ludwig2024-10-042024-09-26Kondratiev, Y. G., Kuna, T., Oliveira, M. J., Silva, J. L., Streit, L., Results about the free Kawasaki dynamics of continuous particle systems in infinite volume: long-time asymptotics and hydrodynamic limit. In E. Carlen, P. Gonçalves and A. J. Soares (Eds.), From Particle Systems to Partial Differential Equations. PSPDE X, Braga, Portugal, June 2022. Springer Proc. Math. Stat. 465, 2024 (pp. 149--185).http://hdl.handle.net/10400.2/16587An 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 asymptotics is computed under an extra assumption. The relation with constructions based on infinite volume limits is discussed.engInfinite particle systemsKawasaki dynamicsHydrodynamic limitLong-time asymptoticsconference object10.1007/978-3-031-65195-3_7