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Full-Text Articles in Physical Sciences and Mathematics
An Introduction To The Thermodynamic And Macrostate Levels Of Nonequivalent Ensembles, H Touchette, Rs Ellis, B Turkington
An Introduction To The Thermodynamic And Macrostate Levels Of Nonequivalent Ensembles, H Touchette, Rs Ellis, B Turkington
Mathematics and Statistics Department Faculty Publication Series
This short paper presents a nontechnical introduction to the problem of nonequivalent microcanonical and canonical ensembles. Both the thermodynamic and the macrostate levels of definition of nonequivalent ensembles are introduced. The many relationships that exist between these two levels are also explained in simple physical terms.
Thermodynamic Versus Statistical Nonequivalence Of Ensembles For The Mean-Field Blume-Emery-Griffiths Model, Rs Ellis, H Touchette, B Turkington
Thermodynamic Versus Statistical Nonequivalence Of Ensembles For The Mean-Field Blume-Emery-Griffiths Model, Rs Ellis, H Touchette, B Turkington
Mathematics and Statistics Department Faculty Publication Series
We illustrate a novel characterization of nonequivalent statistical mechanical ensembles using the mean-field Blume–Emery–Griffiths (BEG) model as a test model. The novel characterization takes effect at the level of the microcanonical and canonical equilibrium distributions of states. For this reason it may be viewed as a statistical characterization of nonequivalent ensembles which extends and complements the common thermodynamic characterization of nonequivalent ensembles based on nonconcave anomalies of the microcanonical entropy. By computing numerically both the microcanonical and canonical sets of equilibrium distributions of states of the BEG model, we show that for values of the mean energy where the microcanonical …