Equilibrium Kawasaki dynamics of continuous particle systems

@article{Kondratiev2005EquilibriumKD,
  title={Equilibrium Kawasaki dynamics of continuous particle systems},
  author={Y. Kondratiev and E. Lytvynov and M. Rockner},
  journal={Infinite Dimensional Analysis, Quantum Probability and Related Topics},
  year={2005},
  volume={10},
  pages={185-209}
}
  • Y. Kondratiev, E. Lytvynov, M. Rockner
  • Published 2005
  • Physics, Mathematics
  • Infinite Dimensional Analysis, Quantum Probability and Related Topics
  • We construct a new equilibrium dynamics of infinite particle systems in a Riemannian manifold X. This dynamics is an analog of the Kawasaki dynamics of lattice spin systems. The Kawasaki dynamics now is a process where interacting particles randomly hop over X. We establish conditions on the a priori explicitly given symmetrizing measure and the generator of this dynamics, under which a corresponding conservative Markov processes exists. We also outline two types of scaling limit of the… CONTINUE READING
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