- 94-314 Georgii H.O.
- The equivalence of ensembles for classical systems of
particles
(81K, LaTeX)
Oct 13, 94
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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.
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