论文标题
关于自然配置框架与通用的兼容性:各向异性速率型模型的推导
On compatibility of the Natural configuration framework with GENERIC: Derivation of anisotropic rate-type models
论文作者
论文摘要
在由Rajagopal和Srinivasa开发的自然构型框架内,连续热力学内的演变被表述为与当前配置相关的自然构型的演变。另一方面,使用一般方程式进行非平衡可逆 - 反转耦合(通用)框架,将演变分为哈密顿力学和(广义)梯度动力学。这些看似完全不同的方法实际上有很多共同点,我们在广泛的模型上显示了它们的兼容性。两种框架在〜各向同性和各向异性速率型流体模型上进行了说明。我们提出对通用中自然配置的解释,反之亦然(并在可能的情况下)。
Within the framework of natural configurations developed by Rajagopal and Srinivasa, evolution within continuum thermodynamics is formulated as evolution of a natural configuration linked with the current configuration. On the other hand, withing the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) framework, the evolution is split into Hamiltonian mechanics and (generalized) gradient dynamics. These seemingly radically different approaches have actually a lot in common and we show their compatibility on a wide range of models. Both frameworks are illustrated on~isotropic and anisotropic rate-type fluid models. We propose an interpretation of the natural configurations within GENERIC and vice versa (when possible).