Integrable multi-phase thermodynamic systems and
Tsallis' composition rule

Giuseppe de Nittis; Paolo Lorenzoni; Antonio Moro

doi:10.1088/1742-6596/482/1/012009

Integrable multi-phase thermodynamic systems and Tsallis' composition rule

Giuseppe de Nittis, Paolo Lorenzoni, Antonio Moro

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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.

Original language	English
Pages (from-to)	012009
Journal	Journal of Physics: Conference Series
Volume	482
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/482/1/012009
Publication status	Published - 2014

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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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AU - Lorenzoni, Paolo

AU - Moro, Antonio

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AB - 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.

UR - https://www.scopus.com/pages/publications/84896964992

U2 - 10.1088/1742-6596/482/1/012009

DO - 10.1088/1742-6596/482/1/012009

M3 - Article

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VL - 482

SP - 012009

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

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Integrable multi-phase thermodynamic systems and Tsallis' composition rule

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