48Ca核态复杂性
Complexity of Nuclear States for 48Ca
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中文总结 AI 辅助
本研究通过分析48Ca核在不同四极型两体相互作用下的本征向量，计算熵和复杂性，发现规则与混沌态在信息熵和复杂性上存在明显差异，揭示了内部相互作用的影响。
中文摘要 AI 辅助
在复杂系统理论中，存在多种基于信息描述系统的方式，例如涌现（香农熵）、自组织和复杂性。这些度量提供了复杂系统动态行为的信息。我们研究了经历从规则到混沌转变的多体系统在熵和复杂性上的差异。为此，我们分析了48Ca核在不同四极型两体相互作用下的本征向量。我们通过使用Antoine代码对角化48Ca的两体哈密顿量获得本征向量。然后，我们计算了不同四极型相互作用的熵和复杂性。在比较规则系统与混沌系统时，信息熵和复杂性的差异是明显的。我们发现，48Ca的规则态和混沌态的复杂性显示出与其内部相互作用相关的差异。
英文摘要
In complex systems theory, there are different ways to describe a system in terms of information, such as emergence (Shannon entropy), self-organization, and com- plexity. These measures provide information about the dynamic behavior of a complex system. We study the differences in entropy and complexity for many-body systems undergoing a transition from a regular to a chaotic regime. To do this, we analyze the eigenvectors of the 48 Ca nucleus for different quadrupole-type two-body interactions. We obtain the eigenvectors by diagonalizing the two-body Hamiltonian for 48 Ca us- ing the Antoine code. We then calculate the entropy and complexity for the different quadrupole-type interactions. The differences found in information entropy and com- plexity are clear when comparing a regular system with a chaotic one. We find that the complexity of the regular and chaotic states of 48 Ca shows differences associated with its internal interactions.
发表机构
- Facultad de Ciencias, Universidad Nacional Autónoma de México（墨西哥国立自治大学理学院）
- Facultad de Física, Universidad Veracruzana（韦拉克鲁斯大学物理学院）
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