Results about the free kawasaki dynamics of continuous particle systems in infinite volume: long-time asymptotics and hydrodynamic limit

Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João; Silva, José Luís da; Streit, Ludwig

http://hdl.handle.net/10400.2/16587

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Abstract(s)

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 asymptotics is computed under an extra assumption. The relation with constructions based on infinite volume limits is discussed.

Keywords

Infinite particle systems Kawasaki dynamics Hydrodynamic limit Long-time asymptotics

URI

http://hdl.handle.net/10400.2/16587

Citation

Kondratiev, 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).