将自我组织的关键性描述为连续的相位过渡
1B-1/16 East Enclave Housing, 02 Biswa Bangla Sarani, New Town, Kolkata 700163, India.
Physical review. E
|March 19, 2025
概括
自组织的关键性,就像沙堆模型一样,可以被描述为连续的相位过渡. 数字证据表明,调整下降密度揭示了关键阶段和缩放行为.
科学领域:
- 复杂的系统复杂的系统.
- 统计物理 统计物理
背景情况:
- 自组织的关键性 (SOC) 描述了自然演化到关键状态的系统.
- 沙堆模型,如Bak-Tang-Wiesenfeld (BTW) 和Manna,是SOC的关键例子.
- 在连续相位过渡框架内理解SOC是一个开放的问题.
研究的目的:
- 通过使用沙堆模型,调查自组织的关键性 (SOC) 现象是否可以被定义为连续相位过渡.
- 探索透过渡和SOC之间的关系.
- 识别和分析SOC的顺序参数和关键指数.
主要方法:
- 对Bak,Tang和Wiesenfeld (BTW) 和Manna沙堆模型的数值模拟.
- 引入和操纵"滴密度"作为一个控制参数.
- 雪崩大小分布和缩放行为的分析.
- 对应长度指数的计算.
主要成果:
- 广泛的数值证据支持SOC可以通过连续相位过渡来描述.
- 调整掉落密度揭示了沙堆从亚临界到临界阶段的过渡.
- 最大的雪崩的尺寸尺寸作为一个有效的订单参数.
- 相对应长度指数在临界点分离,与相位过渡一致.
结论:
- 沙堆模型表现出连续相变的特征.
- 降落密度的概念提供了一种手段,可以在关键点调整SOC系统.
- SOC系统与其他连续相位过渡共享通用性类.
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