General constitutive equations of heat transport with second sound and ballistic propagation in isotropic materials are given using non-equilibrium thermodynamics with internal variables. The consequences of Onsager reciprocity relations between thermodynamic fluxes and forces and positive definiteness of the entropy production are considered. The relation to theories of Extended Thermodynamics is discussed in detail. We provide an explicit expression for all the components of the matrices of the transport coefficients. The expressions are cumbersome but are expected to be useful for computer programming for simulations of the corresponding physical effects.

中文翻译：

---

三维各向同性材料中的广义弹道热传递定律

使用具有内部变量的非平衡热力学，给出了在各向同性材料中具有第二种声音传热和弹道传播的热本构方程。考虑了热力学通量和力之间的Onsager互惠关系的后果以及熵产生的正定性。详细讨论了与扩展热力学理论的关系。我们为传输系数矩阵的所有分量提供了一个明确的表达式。这些表达式很麻烦，但有望用于计算机编程以模拟相应的物理效果。