Lorenzo Bertini, Nicoletta Cancrini and Filippo Cesi
The spectral gap for a Glauber--type dynamics in a continuous gas
(285K, PS)
ABSTRACT. We consider a continuous gas
in a $d-$dimesional rectangular box with a finite range, positive pair
potential,
and we construct a Markov process
in which particles appear and disappear with appropriate
rates so that the process is reversible w.r.t. the Gibbs measure.
If the thermodynamical paramenters are such that the Gibbs specification
satisfies a certain mixing condition, then
the spectral gap of the generator is strictly positive
uniformly in the volume and boundary condition. The required mixing condition
holds if, for instance, there is a convergent cluster expansion