复相系非平衡定态的稳定性

Stability of Non-equilibrium State for Multi-phase System

利用李雅普诺夫稳定性理论第二方法对复相系非平衡定态的稳定性进行了分析,结果表明:对线性区非平衡定态而言,取总熵产为V函数,则恒有dV/dt<0,因此,系统是绝对稳定的;对非线性区非平衡定态而言,取熵产的二阶变分为V函数,可根据dV/dt的符号判断系统的稳定性.

Based on the second method of Lyapunov stability theory, the stability of non-equilibrium state for multiphase system is analysed. The results show that the dV/dt is always less than zero ff the V-function, which is defined as the entropy generation of the system, is greater than zero for the non-equilibrium state in linear zone, and the system is absolutely stable. On the other hand, the stability of the system in non-linear zone is determined with the symbol of dV/dt.