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Generalized canonical ensembles and ensemble equivalence

Generalized canonical ensembles and ensemble equivalence

This paper is a companion piece to our previous work [J. Stat. Phys. 119, 1283 (2005)], which introduced a generalized canonical ensemble obtained by multiplying the usual Boltzmann weight factor ${e}^{\ensuremath{-}\ensuremath{\beta}H}$ of the canonical ensemble with an exponential factor involving a continuous function $g$ of the Hamiltonian $H$. We provide …