Equilibrium Kawasaki dynamics of continuous particle systems

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dc.creatorKondratiev, Yu. G.
dc.creatorLytvynov, E.
dc.creatorRöckner, M.
dc.date2005-03-02
dc.date2007-02-08
dc.date.accessioned2026-07-07T07:45:17Z
dc.date.available2026-07-07T07:45:17Z
dc.descriptionWe 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 {\it 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 equilibrium Kawasaki dynamics: one leading to an equilibrium Glauber dynamics in continuum (a birth-and-death process), and the other leading to a diffusion dynamics of interacting particles (in particular, the gradient stochastic dynamics).
dc.identifierhttps://arxiv.org/abs/math/0503042
dc.identifierhttp://arxiv.org/abs/math/0503042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123483
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35, 60J75, 60J80, 82C21, 82C22
dc.titleEquilibrium Kawasaki dynamics of continuous particle systems
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