Serdyukov Sergey I
Department of Chemistry, Moscow State University, 119992 Moscow, Russia.
Topchiev Institute of Petrochemical Synthesis, Russian Academy of Sciences, 119991 Moscow, Russia.
Entropy (Basel). 2018 Oct 18;20(10):802. doi: 10.3390/e20100802.
In this work, we consider extended irreversible thermodynamics in assuming that the entropy density is a function of both common thermodynamic variables and their higher-order time derivatives. An expression for entropy production, and the linear phenomenological equations describing diffusion and chemical reactions, are found in the context of this approach. Solutions of the sets of linear equations with respect to fluxes and their higher-order time derivatives allow the coefficients of diffusion and reaction rate constants to be established as functions of size of the nanosystems in which these reactions occur. The Maxwell-Cattaneo and Jeffreys constitutive equations, as well as the higher-order constitutive equations, which describe the processes in reaction-diffusion systems, are obtained.
在这项工作中，我们考虑扩展不可逆热力学，假定熵密度是常见热力学变量及其高阶时间导数的函数。在这种方法的框架下，我们找到了熵产生的表达式以及描述扩散和化学反应的线性唯象方程。关于通量及其高阶时间导数的线性方程组的解，使得扩散系数和反应速率常数能够被确定为这些反应发生的纳米系统尺寸的函数。我们得到了描述反应扩散系统中过程的麦克斯韦 - 卡塔尼奥（Maxwell-Cattaneo）和杰弗里斯（Jeffreys）本构方程以及高阶本构方程。
