Georgii H.O.
The equivalence of ensembles for classical systems of 
particles
(81K, LaTeX)

ABSTRACT.  For systems of particles in classical phase space with
standard Hamiltonian, we consider (spatially averaged)
microcanonical Gibbs distributions in finite boxes. We 
show that infinite-volume limits along suitable subsequences 
exist and are grand canonical Gibbs measures. On the way,
we establish a variational formula for the thermodynamic 
entropy density, as well as a variational characterization
of grand canonical Gibbs measures.