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.
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页数：8
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