论文标题

从建模政治舆论形成到两旋统计物理模型

From modeling of political opinion formation to two-spin statistical physics model

论文作者

Sznajd, Józef

论文摘要

一个基于用于制定动态模型的想法的两旋链系统,该模型模拟了一个社会中传播的意见过程,人们研究了四种社会态度之一[Physica A 351,593(2005)]。该模型是由链条制成的,在每个位置都有两种旋转S和V的链条,并与Insite相互作用〜M0相结合,并以不同的方式与最近(NN)和下一(NNN)邻居相互作用。仅分析了S旋转的NN相互作用以及V旋转(ACLS模型)的NN和NNN相互作用的一维模型。使用线性重归其化组(LRG)计算特异性热和相关函数对温度和〜m0的依赖性。考虑了Insite和NNN相互作用的作用。 ACLS模型定义了描述社会中观点传播的动力学模型的稳定状态的实用性,该模型在两个领域中代表了对自由水平的四种不同态度:讨论了个人和经济。可以指出的是,组织现代社会的困难可能是由于这两个领域之间的内部局势造成的。 1

A two-spin system based on the idea used to formulate the dynamical model simulating the process of opinion spreading in a society, where people adopt one of the four social attitudes [Physica A 351, 593 (2005)] is studied. The model is made of chains with two species of spins S and V at each site coupled by an insite interaction ~M0 and interacting in different way with nearest (NN) and next-nearest (NNN) neighbors. The one-dimensional model with only NN interaction of the S spins and both NN and NNN interactions of the V spins (ACLS model) is analyzed. Using the linear renormalization group (LRG) the dependences of the specific heat and correlation functions on temperature and ~M0 are calculated. The roles of the insite and NNN interactions are considered. The usefulness of the ACLS model to define stable states of the dynamical model describing opinion spreading in a society, which members represent four different attitudes to the level of freedom in two areas: personal and economic is discussed. It is pointed out that the difficulties in organizing modern societies can result from an internal con ict between these two areas. 1

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