变分多流体动力学与因果导热
Variational multi-fluid dynamics and causal heat conductivity
摘要：
我们从变分多流体模型的角度讨论导热性，将熵作为一个动力学实体。我们证明了一个有质量的流体成分和无质量熵的双流体模型可以重现一些关键结果，从扩展的不可逆热力学。特别是，我们表明，熵夹带是密切相关的热弛豫时间，需要使固体中的热传播的因果关系。我们还讨论了自然产生的耗散多流体模型中的非本地条款，并将这些条款的声子流体力学。最后，我们制定了一个完整的热传导两个组件模型，并简要讨论了新的耗散项出现。
英文摘要：
We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a number of key results from extended irreversible thermodynamics. In particular, we show that the entropy entrainment is intimately linked to the thermal relaxation time that is required to make heat propagation in solids causal. We also discuss non-local terms that arise naturally in a dissipative multi-fluid model, and relate these terms to those of phonon hydrodynamics. Finally, we formulate a complete heat conducting two-component model and discuss briefly the new dissipative terms that arise.
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