一维Sznajd舆论模型相变的研究

STUDY ON THE PHASE TRANSITION IN ONE-DIMENSION SZNAJD CONSENSUS MODEL

略去一维标准Szna jd舆论模型的第二个规则,修改后的模型演化的决定时间分布没有发生变化,但弛豫时间延长了;反铁磁性吸引子消失了,铁磁性终态吸引子出现的概率对初始态度人员密度有着重要的依赖关系.进一步在平均场的近似下,修改后的一维Szna jd舆论模型存在相变.

By omitting its second rule,of the one-dimension Sznajd consensus model,the power-law behavior of the decision time is found unchanged,but the average relaxation time prolongs;no anti-Ferromagnetic final state appears in the modified model ,and the probability of the ferromagnetic final state has non-trivial dependence on the initial concentration of opinions. Furthermore in the mean-field approximation ,there exists the phase transition of the modified mode.