随机热力学:散射性,积累性,能量储存和的产生
Manuel Lanchares1, Wassim M Haddad1
1School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA.
概括
本研究介绍了一个统一的框架,用于随机热力学使用基于能源的动态系统模型. 它建立了与统计热力学原理相一致的能量保存和产生规律.
科学领域:
- 物理 物理学 物理
- 热力学是一种热力学.
- 动态系统 动态系统
背景情况:
- 随机热力学往往缺乏统一的框架.
- 现有的模型可能不完全符合统计热力学原理.
研究的目的:
- 开发一个统一的框架,用于随机热力学.
- 提出一个基于能源的动态系统模型,与统计热力学相一致.
主要方法:
- 开发了一个基于能源的动态系统模型,由马尔科夫输入过程驱动.
- 利用了随机消散性,无损性和积累性理论.
- 制定了一个非线性随机的Port-Hamiltonian系统模型.
主要成果:
- 该模型证明了能量保存和的非保存规律.
- 平均系统能量差异是一个马丁盖尔.
- 平均系统生产差异是一个亚马丁加尔.
结论:
- 拟议的框架为随机热力学提供了一种统一的方法.
- 该模型的能量和动态与统计热力学原理保持一致.
- 这项工作有助于"热力学2.0"主题.
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