时间自组织的热力学性质

Thermodynamical Property of Temporary Self-Organization

在局域平衡假定的前提下,以热力学第一定律及Gibbs公式的局域形式为基础,构筑了耗散分布函数与熵流分布函数,以此来表征时间自组织的特征性;并以Brusselator模型为例具体推导了这两个热力学函数,且绘制了耗散谱与熵流谱.作为比较还绘制和分析了守恒振荡体系的耗散谱与熵流谱,发现这两类体系的谱系具有不同的特征.结果表明,用耗散分布函数与熵流分布函数表征时间自组织比其它热力学性质更具特征性与可比性.

Based on the local equilibrium postulate, two kinds of new thermodynamical functions to describe both the dissipation distribution and the entropy flow distribution have been constructed by means of local forms of the 1st law of thermodynamics as well as the Gibbs formula. It is shown that these distribution functions are characteristic of the temporary selforganization. Furthermore, by using the Brusselator model and Lotka model as illustrations, the distribution spectrum of dissipation and entropy flow respectively corresponding to the limit cycle oscillation and the conservative oscillation were calculated and analysed concretely. In comparision, it is concluded that these new distribution functions suggested that are more efficient thermodynamical properties to characterize the temporary selforganizations appearing in the nonequilibrium chemical reaction systems. 