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在所罗门网络上的Biswas-Chatterjee-Sen模型有两个三维格子
Gessineide Sousa Oliveira1, Tayroni Alencar Alves1, Gladstone Alencar Alves2
1Dietrich Stauffer Computational Physics Laboratory, Departamento de Física, Universidade Federal do Piauí, Teresina 64049-550, PI, Brazil.
Entropy (Basel, Switzerland)
|July 26, 2024
概括
比斯瓦斯-查特吉-森模型显示了3D所罗门网络中的第二阶段过渡. 它的临界指数表明了一个独特的普遍性类,与较低的维度和伊辛格模型不同.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 计算物理 计算物理
背景情况:
- 比斯瓦斯-查特吉-森 (BChS) 模型是理解论动态的一个关键框架.
- 对复杂的网络结构的意见动态的调查对社会科学和物理学至关重要.
- 之前的研究已经在各种网络维度上探索了BCHS模型.
研究的目的:
- 在三维所罗门网络上分析BCHS模型的意见动态.
- 为了确定相位过渡的性质,并计算关键指数.
- 为了比较3D BChS模型的普遍性类别与其低维对应物和Ising模型.
主要方法:
- 广泛的蒙特卡洛模拟被用来研究BCHS模型.
- 使用有限尺寸的缩放关系来推断系统属性到热力学极限.
- 对顺序参数,敏感性和相关长度的关键指数在过渡点被评估.
主要成果:
- 在3D所罗门网络上的BCHS模型显示了二次阶段过渡.
- 在相位过渡点成功计算了临界指数.
- 与1D和2D网络相比,评估的指数表明了不同的行为.
结论:
- 三维BChS模型属于不同的普遍性类.
- 这种3D通用性类与1D和2D所罗门网络上的BCHS模型不同.
- 与同一网络上的Ising模型相比,3D BChS模型也处于不同的普遍性类.
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