极端切换和混乱的意见形成模型:批判性行为和动态
Kathakali Biswas1,2, Parongama Sen2
1Department of Physics, Victoria Institution (College), 78B Acharya Prafulla Chandra Road, Kolkata 700009, India.
这项研究探讨了与障碍有关的意见形成,在p=1-q/4.4处发现了一个新的关键点. 顺序参数与关键点的功率定律一起衰变,显示平均场行为.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 社会动力学 社会动力学
背景情况:
- 之前的研究分析了三态动态交换意见形成模型.
- 当前的研究引入了混乱,其中负面相互作用发生的概率p.
研究的目的:
- 调查混乱对三态动态交换意见形成模型的影响.
- 在存在无序和极端开关的情况下确定临界点和临界指数.
主要方法:
- 分析一个三态动态交换意见形成模型与混乱.
- 包括具有概率q的极端开关.
- 平均场分析和有序状态的稳定性分析.
主要成果:
- 在p=1-q/4时确定了一个新的临界点,这取决于极端开关 (q) 的概率.
- 顺序参数在临界点消失,具有普遍指数β=1/2.
- 顺序参数在有序/无序阶段表现出指数级增长/衰减,在关键点表现出权力规律衰减.
结论:
- 该模型表现出类似于平均场的批判性行为.
- 当q接近1时,系统越来越像一个两态模型.
- 在q=1时,该模型相当于具有随机翻转的二进制选民模型.
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