关于在正典合奏中直接计算压力的方法
Fernando Takeshi Tanouye1, Jozismar Rodrigues Alves1
1Institute of Physics, University of São Paulo, São Paulo, Brazil.
The Journal of chemical physics
|February 11, 2024
概括
我们介绍了一种新的直接方法,用于计算蒙特卡洛模拟中的流体压力,增强各种模型中平衡压力测量的计算工具. 这种方法为现有方法 (如吉布斯-杜赫姆技术) 提供了更具多功能性的替代方案.
科学领域:
- 计算物理学的计算物理.
- 热力学是一种热力学.
- 统计力学就是统计力学.
背景情况:
- 在蒙特卡洛模拟中计算流体压力在计算上具有挑战性.
- 现有的方法,比如吉布斯-杜赫姆方法,对各种模型的普遍性有局限性.
- 对于压力测量而言,存在更具多功能性的计算工具的需求.
研究的目的:
- 通过蒙特卡洛模拟,提出一种直接和可通用的方法来计算使用正规集团中的压力.
- 将压力计算方法的适用性扩展到各种模型,包括低密度混合物.
- 在拟议方法的背景下分析热力学不稳定性和相变.
主要方法:
- 开发了一种类似于Widom方法的直接方法,基于随体积变化的自由能量.
- 利用去除一个空的或粒子占据的格子柱来计算压力.
- 在格子气体模型上测试了该方法,并将结果与精确的Onsager解决方案进行了比较.
主要成果:
- 提出的方法成功计算了网格气体模型的压力,显示了与精确解决方案的良好一致.
- 观察并讨论了相变期间压力等热体中的热力学不稳定性 (循环).
- 通过 Hill 的构造,成功地从衍生出来的同热量中获得了相位图.
结论:
- 新的直接方法为在蒙特卡洛模拟中确定流体压力提供了一个有价值和多功能工具.
- 该方法有助于理解相位过渡和热力学不稳定性.
- 这种方法可以扩展到更复杂的系统,包括低密度混合物.
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