用二维Ising模型的统计性质理解观点一致的形成

Understanding of Viewpoints Identity Formation with the Statistical Property of Two-dimensional Ising Model

观点一致是社会系统中由无序走向有序的典型过程,与走向平衡态的演化完全相反.观点一致实质上是系统所追求的一种极端有序态.通过考察一个二维Ising模型所描写的系统的统计性质,判断其在外场作用下微观构型的可能变化,用全正或全负构型对应观点一致,从而理解外界导向性意见(外场)和群体内部固有的复杂程度(系统温度)这对对抗因素作用下的观点演化(系统演化)特征.结果表明,存在一个临界温度,亚临界时系统熵随外场增强以漂移幂律方式迅速降低而后趋向于最小熵;超临界时系统熵随外场增强以反指数方式缓慢下降,无迹象显示存在最小熵.前者预示外场作用驱使所有构型转变为与外场取向一致的全正或全负构型,从而实现观点一致;后者预示着如果温度在与外场的竞争中占优,即在一个复杂性很高的社会中,观点一致(社会共识)不可能形成.温度的这种影响还体现在一定外场下,系统熵随温度快速增长且达到最大,从而建立一种各微观构型概率均匀的类平衡状态.

Viewpoints identity is a typical procedure from chaos to order in social system,which is completely opposite to the evolution to equilibrium state.The identity of viewpoints is actually an extreme ordered state pursued by system.The article purports to understand the viewpoint evolution(system evolution)characteristic under the effect of a pair of confronting factors:external oriented opinion(external field)and fixed complexity level inside the group(system temperature)by investigating the described system statistical property by two-dimensional Ising model,observing its possible variation in microcosmic structure under the effect of outer field and corresponding viewpoints identity with fully positive or fully negative configuration.The result shows that,there is a critical temperature,and the system entropy drops in the way of drift power-law and tends to the minimum entropy as the increase of outer field during subcritical time;the system entropy declines gradually in the way of inverse index as the increase of outer field at supercritical time,and no signs of minimum entropy.The former indicates that the outer field effect impels all the configuration turning into fully positive or fully negative with uniform outer field orientation,thus achieves opinion uniform;the latter indicates that if the temperature takes advantage in the competition of outer field,which is,in a higher complexity society,the view point identity(social common understanding)is impossible to be formed.The influence of temperature is also embodied in a certain outer field,the system entropy grows rapidly with temperature and reaches the maximum and thus established a kind of para-equilibrium state with even micro-configuration probability.