The stability of homogeneous thermodynamic equilibrium is analyzed in heat conduction theories in the framework of nonequilibrium thermodynamics, where the internal energy, the heat flux and a second order tensor are thermodynamic state variables. It is shown, that the thermodynamic conditions of concave entropy and nonnegative entropy production can ensure the linear stability. Various special heat conduction theories, including Extended Thermodynamics, are compared in the general framework.

中文翻译：

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热力学和动态稳定性：热传导扩展理论


在非平衡热力学框架下的热传导理论中分析了均相热力学平衡的稳定性，其中内能、热通量和二阶张量是热力学状态变量。结果表明，凹熵和非负熵产生的热力学条件可以保证线性稳定性。在总体框架内比较了各种特殊热传导理论，包括扩展热力学。