非局部向量内部变量和热流的广义盖尔-克鲁曼斯尔演变方程
Liliana Restuccia1, David Jou2,3
1Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d'Alcontres, Salita Sperone 31, 98166 Messina, Italy.
Entropy (Basel, Switzerland)
|September 28, 2023
概括
本研究探讨了热力学系统中的非局部内部变量及其演变方程. 它为纳米系统中的热传输提供了一个通用化的盖耶-克鲁曼斯方程.
科学领域:
- 热力学是一种热力学.
- 在物理系统中产生非局部影响.
背景情况:
- 热力学系统经常使用局部内部变量与非局部进化方程.
- 在这些进化方程中,非局部微分或积分项是常见的.
研究的目的:
- 研究非局部效应对具有内部变量的热力学系统的影响.
- 探索非局部内部变量及其演变方程的实用性.
主要方法:
- 考虑三个关键的长度尺度:观察尺度 (R),平均自由路径 (l) 和全球系统大小 (L).
- 在具有热的声子水力学下对三维刚性热导体的分析.
主要成果:
- 得到一个通用的盖耶-克鲁曼斯尔方程.
- 该研究研究了不同长度尺度在非局部描述中的相互作用.
结论:
- 非局部内部变量和进化方程可能在特定的热力学描述中提供优势.
- 概括方程对于纳米系统和具有不均性的系统中的热传输是相关的.
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