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Kawasaki dynamics in the continuum via generating functionals evolution


Abstract

We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.

Key words: Generating functional, Kawasaki dynamics, interacting particle system, continuous system, Ovsjannikov’s method, Vlasov scaling.


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Article Information

TitleKawasaki dynamics in the continuum via generating functionals evolution
SourceMethods Funct. Anal. Topology, Vol. 18 (2012), no. 1, 55-67
MathSciNet   MR2953330
zbMATH 1249.82007
CopyrightThe Author(s) 2012 (CC BY-SA)

Authors Information

D. L. Finkelshtein
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

Yu. G. Kondratiev
Fakultat fur Mathematik, Universitat Bielefeld, D 33615 Bielefeld, Germany; Forschungszentrum BiBoS, Universitat Bielefeld, D 33615 Bielefeld, Germany

M. J. Oliveira
Universidade Aberta, P 1269-001 Lisbon, Portugal; CMAF, University of Lisbon, P 1649-003 Lisbon, Portugal


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Citation Example

D. L. Finkelshtein, Yu. G. Kondratiev, and M. J. Oliveira, Kawasaki dynamics in the continuum via generating functionals evolution, Methods Funct. Anal. Topology 18 (2012), no. 1, 55-67.


BibTex

@article {MFAT605,
    AUTHOR = {Finkelshtein, D. L. and Kondratiev, Yu. G. and Oliveira, M. J.},
     TITLE = {Kawasaki dynamics in the continuum via generating functionals evolution},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {18},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {55-67},
      ISSN = {1029-3531},
  MRNUMBER = {MR2953330},
 ZBLNUMBER = {1249.82007},
       URL = {http://mfat.imath.kiev.ua/article/?id=605},
}


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