93-180 Hans-Otto Georgii

Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction (66K, latex3) Jun 16, 93

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. For Gibbsian systems of particles in $\R^d$, we investigate large deviations of the stationary empirical fields in increasing boxes. The particle interaction is given by a superstable, regular pair potential. The large deviation principle is established for systems with free or periodic boundary conditions and, under a stronger stability hypothesis on the potential, for systems with tempered boundary conditions, and for tempered (infinite-volume) Gibbs measures. As a by-product we obtain the Gibbs variational formula for the pressure. We also prove the asymptotic equivalence of microcanonical and grand canonical Gibbs distributions and establish a variational expression for the thermodynamic entropy density.

Files: 93-180.src( desc , 93-180.tex )