非广延反应扩散系统的广义主方程

Generalized master equation for the nonextensive reaction-diffusion systems

依据非平衡统计及密度算子方程,通过计算概率分布函数的时间变化,得到了非广延反应扩散系统在压力作用时其特征函数满足的广义主方程,其中非广延反应扩散系统的压力在Tsallis统计的框架下给出.与唯象理论中的主方程比较,新得到的方程不仅依赖于非广延参量q而且有更多的非线性项,因此更具有普遍性.当新的方程应用到单分子反应模型时,非广延性对系统的稳定性将产生重要的作用,特别是当系统接近临界状态时.

Based on the theory of nonequilibrium statistics and density operator equation, the generalized master characteristic function for the nonextensive reaction-diffusion systems affected by pressure is derived by equation satisfied by calculating the time variation of probability distribution function, where the pressure of the nonextensive systems is given in the framework of Tsallis statistics. This new equation not only depends on the nonextensive parameter but also has more nonlinear terms as compared with the master equation in the phenomenological theory, and is thus more general.