在连续特征 Axelrod 模型中,不平衡阶段过渡和文化漂移
Paulo R A Campos1, Sandro M Reia2, José F Fontanari3
1Universidade Federal de Pernambuco, Departamento de Física, Centro de Ciências Exatas e da Natureza, Recife-PE 50670-901, Brazil.
Physical review. E
|January 21, 2026
概括
这项研究引入了文化传播的连续阿克塞罗德模型,揭示了不同的阶段过渡和碎片化动态. 连续的特征和噪音阻止了大社会中的文化融合,导致了持续的分裂.
科学领域:
- 社会物理学的社会物理.
- 复杂的系统复杂的系统.
- 文化动态 文化动态
背景情况:
- 标准Axelrod模型使用离散的特征,限制了对关键行为的分析.
- 持续的文化特征和相似度值提供了一个更细微的方法.
- 文化漂移 (复制噪音) 显著影响社会动态.
研究的目的:
- 为了研究一个具有连续文化特征的通用阿克塞罗德模型.
- 量化分析关键性质和相位过渡.
- 了解文化宽容和偏离对社会分裂的影响.
主要方法:
- 总化的Axelrod模型具有连续的特征[0,1]和相似度值"d".
- 有限大小缩放分析以确定关键指数.
- 研究完美的复制和不完美的复制 (噪音) 场景.
主要成果:
- 确定了分离无序和有序阶段的关键值"d_c".
- 观察到平均域密度的连续消失 (指数β=1/3) 和最大域分数在"d_c"的不连续跳跃.
- 噪音诱导的吸引因素会在大型系统中破坏稳定,防止文化结并促进碎片化.
结论:
- 持续的文化特征允许精确分析阶段过渡.
- 对于两种过渡类型,有限大小的效应都受指数 ν=2 的支配.
- 持续的文化漂移阻止了大社会稳定的融合,导致持续的碎片化和非静止的动态.
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