Kawasaki dynamics in the continuum via generating functionals evolution
The Kawasaki dynamics is an example of a hopping particle model, where particles hop randomly over the space \(\mathbb R^d\) according to a rate depending on the interaction between particles (see, for example, [\textit{Y. Kondratiev, E. Lytvynov} and \textit{M. Röckner}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, No. 2, 185--209 (2007; Zbl 1142.60064)]).NEWLINENEWLINE The authors construct the time evolution of Kawasaki dynamics for a spatial infinite particle systems in terms of generating functionals. This is carried out via the approach of Ovsjannikov type (using a scale of Banach spaces) leading to a solution local in time. An application to Vlasov-type scaling in terms of generating functionals is given.
scientific article; zbMATH DE number 6056408