相对论多体系统混沌分析的C#程序
Code C# for chaos analysis of relativistic many-body systems
摘要：
这项工作提出了一个新的Microsoft Visual C# .NET代码库，设想作为一个通用的面向对象的三维，相对论多体系统的混沌分析的解决方案。在这种情况下，我们实现了李雅普诺夫指数和“碎片水平”（使用图论和香农熵定义）。受已有的台球核模型和星系团研究的启发，我们尝试将维里定理应用于一个由核子组成的简化多体系统。讨论了维里系数在混沌系统稳定性分析中的可能应用。
英文摘要：
This work presents a new Microsoft Visual C# .NET code library, conceived as a general object oriented solution for chaos analysis of three-dimensional, relativistic many-body systems. In this context, we implemented the Lyapunov exponent and the "fragmentation level" (defined using the graph theory and the Shannon entropy). Inspired by existing studies on billiard nuclear models and clusters of galaxies, we tried to apply the virial theorem for a simplified many-body system composed by nucleons. A possible application of the "virial coefficient" to the stability analysis of chaotic systems is also discussed.
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