We derive a class of equations of state for a multi-phase thermodynamic system associated with a finite set of order parameters that satisfy an integrable system of hydrodynamic type. As particular examples, we discuss one-phase systems such as the van der Waals gas and the effective molecular field model. The case of N-phase systems is also discussed in detail in connection with entropies depending on the order parameter according to Tsallis' composition rule.
De Nittis, G., Lorenzoni, P., Moro, A. (2014). Integrable multi-phase thermodynamic systems and Tsallis' composition rule. JOURNAL OF PHYSICS. CONFERENCE SERIES, 482(1) [10.1088/1742-6596/482/1/012009].
Integrable multi-phase thermodynamic systems and Tsallis' composition rule
Lorenzoni P.;
2014
Abstract
We derive a class of equations of state for a multi-phase thermodynamic system associated with a finite set of order parameters that satisfy an integrable system of hydrodynamic type. As particular examples, we discuss one-phase systems such as the van der Waals gas and the effective molecular field model. The case of N-phase systems is also discussed in detail in connection with entropies depending on the order parameter according to Tsallis' composition rule.
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