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arXiv 0712.2893math-phmath.MP
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通过非相对论极限得到的稠密气体和大分子流体的扩展热力学

Extended Thermodynamics for dense gases and macromolecular fluids, obtained through a non relativistic limit

M. C. Carrisi, M. A. Mele, S. Pennisi

摘要:

本文研究了稠密气体和高分子流体的扩展热力学14矩模型。对于这样一个模型,熵原理和伽利略相对论所施加的限制的解,到目前为止,在文献中只能以近似的方式获得,直到相对于热力学平衡的某个阶数;对于更严格的模型,它们已经获得了任何阶数,但是通过使用平衡周围的泰勒展开,并且没有证明收敛性。在这里,我们找到了一个不使用展开式的精确解。这个想法是先写一个相对论模型,很容易把爱因斯坦的相对性原理强加给它,然后再取它的非相对论极限。

英文摘要:

In this paper we consider the 14 moments model of Extended Thermodynamics for dense gases and macromolecular fluids. Solutions of the restrictions imposed by the entropy principle and that of Galilean relativity for such a model have been until now obtained in literature only in an approximate manner up to a certain order with respect to thermodynamic equilibrium; for more restrictive models they have been obtained up to whatever order, but by using Taylor expansions around equilibrium and without proving convergence. Here we have found an exact solution without using expansions. The idea has been to write firstly a relativistic model, for which it is easy to impose the Einsteinian relativity principle, and then taking its non relativistic limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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