在具有扩散动态的碎形系统中, entropy 生产.
Rafael S Zola1, Ervin K Lenzi2, Luciano R da Silva3
1Departmento de Física, Universidade Tecnológica Federal do Paraná-Campus de Apucarana, Apucarana 86812-460, PR, Brazil.
Entropy (Basel, Switzerland)
|December 23, 2023
概括
这项研究探讨了使用非线性福克-普朗克方程在碎形系统中的产量. 证明了对总的异常扩散和子系统影响,突出显示了碎形动态.
科学领域:
- 统计力学 统计力学
- 复杂系统理论 复杂系统理论
- 碎形几何学 碎形几何学
背景情况:
- 的产生是热力学和统计力学的一个基本概念.
- 碎形系统表现出复杂的结构和动力学,这些结构和动力学并没有被欧几里德几何学所捕捉到.
- 非线性福克-普朗克方程 (NFEs) 描述了各种系统中的扩散过程.
研究的目的:
- 为了研究在一个有两个子系统的碎形系统中,在外力下的产生的过程.
- 分析碎形几何学对扩散动态和的影响.
- 探索系统行为的分析和数值解决方案.
主要方法:
- 将H定理应用于非线性福克-普朗克方程.
- 使用豪斯多夫衍生品将碎形度量纳入一般NFE的制定.
- 系统解决方案的分析和数值研究.
主要成果:
- 证明每个子系统都会影响总产量.
- 由于系统的碎形性质,揭示了异常的扩散过程.
- 量化了碎形几何学对和扩散的影响.
结论:
- 碎形属性显著改变了扩散动态和的产生.
- 子系统之间的相互作用对于理解总系统至关重要.
- 使用豪斯多夫衍生品开发的NFE框架对于分数系统是有效的.
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