10.1142/S0129055X04002217
Kondratiev, Yuri
Yuri
Kondratiev
Minlos, Robert
Robert
Minlos
Zhizhina, Elena
Elena
Zhizhina
One-particle subspace of the Glauber dynamics generator for continuous particle systems
WORLD SCIENTIFIC PUBL CO PTE LTD
2004
2010-04-28T12:40:39Z
2019-05-29T09:53:59Z
journal_article
https://pub.uni-bielefeld.de/record/1605204
https://pub.uni-bielefeld.de/record/1605204.json
We consider a Glauber-type stochastic dynamics of continuous particle systems in R-d. We construct a one-particle invariant subspace of the generator of this dynamics in the high temperature and low density regime. We prove that under some additional assumptions on the decay of the potential the restriction of the generator on the one-particle subspace is unitary equivalent to the operator of the multiplication by a bounded smooth realvalued function. As a consequence we estimate the spectral gap of the generator and find the second gap between the one-particle branch and the rest of the spectrum.