在随机外部偏差下,q选民模型的订单-扰乱动态
Roni Muslim1,2, Jihye Kim3, Noriko Oikawa4
1Asia Pacific Center for Theoretical Physics, POSTECH, Pohang 37673, Republic of Korea.
Physical review. E
|October 21, 2025
概括
本研究探讨了外部领域和同行影响如何塑造意见动态. 我们发现,在二进制意见模型中,外部线索和合规性共同控制了排序和失序.
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:
- q选民模型是研究意见形成的一个基本框架.
- 了解外部影响和社会一致性之间的相互作用对于建模集体行为至关重要.
研究的目的:
- 为了研究一个修改后的q-选民模型,包括随机外部场和同行影响.
- 分析秩序-混乱过渡的条件,并描述共识和混乱的动态.
主要方法:
- 平均场分析来得出分析预测.
- 蒙特卡洛模拟验证理论发现和探索复杂的动态.
- 估计系统放松时间和分析缩放行为.
主要成果:
- 在外部场平衡 (s=1/2) 时,在关键概率p_c时确定了一个顺序-混乱过渡.
- 从共识状态中扰乱时间表现出与系统大小 (T_dis ~ BlnN) 的对数缩放,其中B取决于p和q.
- 当外部场是单向的 (s=0或s=1) 时,就保证了共识,共识时间也显示了对数缩放 (T_con ~ BlnN).
- 对于2到3之间的非线性强度q来说,不管p.不管p.不管p.不管p.不管p.不管p.不管p.不管p.
- 为p=0极限推导出一个封闭形式的退出概率,显示有限大小的缩放崩.
结论:
- 外部领域和同行一致性协同调节二进制意见动态中的排序和失序.
- 该模型提供了关于个人选择和社会相互作用如何导致集体状态的见解.
- 这些发现对于理解各种社会和技术系统中的意见形成有意义.
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