Integrable multi-phase thermodynamic systems and Tsallis' composition rule

被引：1

作者：

De Nittis, G. ^{[1
]}

Lorenzoni, P. ^{[2
]}

Moro, A. ^{[3
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, Erlangen, Germany

[2] Univ Milano Bicocca, Dept Math Appl, Milan, Italy

[3] Northumbria Univ, Dept Math & Informat Sci, Newcastle Upon Tyne NE1 8ST, Tyne & Wear, England

来源：

PHYSICS AND MATHEMATICS OF NONLINEAR PHENOMENA 2013 (PMNP2013) | 2014年 / 482卷

关键词：

ENTROPY;

D O I：

10.1088/1742-6596/482/1/012009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：8

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