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Full-Text Articles in Physical Sciences and Mathematics
Metastability Within The Generalized Canonical Ensemble, H Touchette, M Costeniuc, Rs Ellis, B Turkington
Metastability Within The Generalized Canonical Ensemble, H Touchette, M Costeniuc, Rs Ellis, B Turkington
Mathematics and Statistics Department Faculty Publication Series
We discuss a property of our recently introduced generalized canonical ensemble [M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble, J. Stat. Phys. 119 (2005) 1283]. We show that this ensemble can be used to transform metastable or unstable (nonequilibrium) states of the standard canonical ensemble into stable (equilibrium) states within the generalized canonical ensemble. Equilibrium calculations within the generalized canonical ensemble can thus be used to obtain information about nonequilibrium states in the canonical ensemble.
The Generalized Canonical Ensemble And Its Universal Equivalence With The Microcanonical Ensemble, M Costeniuc, Rs Ellis, H Touchette, B Turkington
The Generalized Canonical Ensemble And Its Universal Equivalence With The Microcanonical Ensemble, M Costeniuc, Rs Ellis, H Touchette, B Turkington
Mathematics and Statistics Department Faculty Publication Series
This paper shows for a general class of statistical mechanical models that when the microcanonical and canonical ensembles are nonequivalent on a subset of values of the energy, there often exists a generalized canonical ensemble that satisfies a strong form of equivalence with the microcanonical ensemble that we call universal equivalence. The generalized canonical ensemble that we consider is obtained from the standard canonical ensemble by adding an exponential factor involving a continuous function g of the Hamiltonian. For example, if the microcanonical entropy is C2, then universal equivalence of ensembles holds with g taken from a class …