自组织生物系统的随机-消散最小作用框架,第I部分:变异性推理和利亚普诺夫类型的行为
1Department of Biological and Physical Sciences, Assumption University and Physics Department, Worcester Polytechnic Institute, Worcester, MA, United States of America.
Bio Systems
|December 3, 2025
概括
远离平衡的复杂系统使用新的框架自我组织. 这种随机分散的最少行动三元法引入了平均行动效率 (AAE) 来量化组织和效率跨规模.
科学领域:
- 复杂系统科学 复杂系统科学
- 非平衡的热力学.
- 理论生物学的理论生物学.
背景情况:
- 了解远离热力学平衡的复杂系统中的自我组织仍然是一个挑战.
- 热力学,动力学和信息理论中的现有框架缺乏统一的原则,用于跨规模的组织和效率.
- 带有限制轨迹的开放系统对理论描述提出了独特的挑战.
研究的目的:
- 提出一种新的理论框架,即随机分散的最小作用三位一体,以解释复杂系统中的自我组织.
- 引入一个新的指标,即平均行动效率 (AAE),用于量化组织和效率.
- 通过计算可处理的方法将量子,经典和生物制度相结合.
主要方法:
- 开发一个由行动成本偏向的路径整体权重.
- 整合反流程以加快轨迹分布.
- 定义和分析平均行动效率 (AAE) 作为一个跨度尺度指标.
- 将框架连接到热力学和信息措施.
主要成果:
- 拟议的框架表明,加强反会导致平均行动的下降和AAE的单调上升.
- 在非平衡稳定状态下,AAE达到局部最大值.
- 该框架的经验版本依赖于聚合的能量和时间数据,增强计算可操作性.
结论:
- 随机-消散的最小动作三位一体框架为自我组织提供了一个潜在的统一原则.
- AAE是评估系统组织和效率的有价值指标.
- 该框架为分析复杂系统提供了计算可处理的方法,并有可能在未来在多个科学领域进行扩展.
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