arXiv:2601.06143astro-ph.SRcs.AI2026-01

用化学组织理论解析恒星核合成中反应网络的复杂结构演化。

Emergent Complexity in Nuclear Reaction Networks: A Study of Stellar Nucleosynthesis through Chemical Organization Theory

  • 以原子集为基本单元,构建反应网络的自维持结构分析框架。
  • 高温下网络凝聚力增强,形成更少更大的稳定原子集,关键温度点出现结构重组。
  • 发现核心簇结构是稳定核合成配置的基础,适合天体物理与复杂系统研究者。

本文研究恒星核合成相关反应网络中复杂结构的涌现现象,提出基于化学组织理论(COT)的理论框架,将原子集视为基本反应单元,并引入协同性概念描述新反应与物种的生成。定义可分性以区分动态耦合系统与可分解系统。该框架应用于STARLIB核反应网络数据库,分析温度变化对网络结构的影响。结果表明,温度升高通常增强网络凝聚力,导致原子集数量减少、规模增大;在特定临界温度下,不同原子集簇合并,小而孤立的反应单元消失。研究揭示出核心簇——包含超过1000个反应、半自维持的大规模结构——在多种温度下构成所有潜在稳定核合成配置的核心。论文为理解复杂反应网络的稳定性与涌现机制提供了新视角,对恒星演化与核合成研究具有重要意义。

原文摘要 · Abstract (English)

We explore the emergence of complex structures within reaction networks, focusing on nuclear reaction networks relevant to stellar nucleosynthesis. The work presents a theoretical framework rooted in Chemical Organization Theory (COT) to characterize how stable, self-sustaining structures arise from the interactions of basic components. Key theoretical contributions include the formalization of atom sets as fundamental reactive units and the concept of synergy to describe the emergence of new reactions and species from the interaction of these units. The property of separability is defined to distinguish dynamically coupled systems from those that can be decomposed. This framework is then applied to the STARLIB nuclear reaction network database, analyzing how network structure, particularly the formation and properties of atom sets and semi-self-maintaining sets, changes as a function of temperature. Results indicate that increasing temperature generally enhances network cohesion, leading to fewer, larger atom sets. Critical temperatures are identified where significant structural reorganizations occur, such as the merging of distinct clusters of atom sets and the disappearance of small, isolated reactive units. The analysis reveals core clusters - large (containing more that 1000 reactions), semi-self-maintaining structures that appear to form the core of all potentially stable nucleosynthetic configurations at various temperatures. Overall, the paper provides insights into the structural underpinnings of stability and emergence in complex reaction networks, with specific implications for understanding stellar evolution and nucleosynthesis.

核合成复杂系统反应网络恒星演化

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