Boltzmann-Equation Based Derivation of Balance Laws in Irreversible Thermodynamics

Liu Hong; Zaibao Yang; Yi Zhu; Wen-An Yong

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arXiv · 1411.7102

Boltzmann-Equation Based Derivation of Balance Laws in Irreversible Thermodynamics

Liu Hong·Zaibao Yang·Yi Zhu·Wen-An Yong

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Abstract

In this paper we propose a novel approach to construct macroscopic balance equations and constitutive equations describing various irreversible phenomena. It is based on the general principles of non-equilibrium thermodynamics and consists of four basic steps: picking suitable state variables, choosing a strictly concave entropy function, separating entropy fluxes and production rates properly, and determining a dissipation matrix. Our approach takes the advantage of both EIT and GENERIC formalisms, and shows a direct correspondence with Levermore's moment closure hierarchies for the Boltzmann equation. This result may put various macroscopic modeling approaches starting from the general principles of non-equilibrium thermodynamics on a solid microscopic foundation based on the Boltzmann equation.

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BibTeX RIS

Liu Hong, Zaibao Yang, Yi Zhu, Wen-An Yong. 2014-11-26. Boltzmann-Equation Based Derivation of Balance Laws in Irreversible Thermodynamics. https://arxiv.org/abs/1411.7102

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