在不均的热力学系统中,用于相过渡的非雅可比安式假弧度延续方法
Samuel Varner1, Christopher Balzer2, Zhen-Gang Wang1
1Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA.
The Journal of chemical physics
|August 12, 2024
概括
本研究介绍了一种无雅可比式伪弧度延续方法,用于绘制热力学复杂相位图. 新方法有效地识别了不均系统中的稳定和不稳定的解决方案,有助于研究相位过渡.
科学领域:
- 热力学是一种热力学.
- 计算化学计算化学
- 材料科学 材料科学 材料科学
背景情况:
- 对于不均系统来说,开发相位图是具有挑战性的,因为相位空间很大,并且在第一阶段相位过渡过程中出现不稳定/超稳定解决方案.
- 伪弧度延续 (PAC) 是一种用于追踪非线性系统的解路径的数值技术,通常需要雅可比式计算.
- 现有的PAC方法可能是计算密集的,可能无法与不均热力学中的标准工作流程无集成.
研究的目的:
- 介绍一种针对不均热力学系统量身定制的新的,无雅可比式伪弧长延续 (PAC) 方法.
- 为了证明这种新方法在准确追踪相位图,包括不稳定和超稳定状态中的适用性.
- 展示该方法在表现出多个,可能重叠的表面相变的复杂系统中的实用性.
主要方法:
- 开发一个没有雅科比的伪弧度延续 (PAC) 算法.
- 在不均热力学标准计算工作流程中实现该方法.
- 该方法在具有第一阶段转换的系统上进行应用和验证,包括受限中的多电解质复合体协.
主要成果:
- 没有雅可比式的PAC方法成功地追踪了热力学系统中的稳定和不稳定的解决方案分支.
- 该方法被证明适用于典型的计算工作流程,简化了复杂相位行为的分析.
- 在多电解质复合凝聚的新案例中证明了有效性,揭示了多重重叠的表面相位过渡.
结论:
- 拟议的无雅可比安式PAC方法提供了一种高效且易于使用的方法,用于构建不均系统的相位图.
- 这一进步促进了对复杂现象的研究,如第一阶段相位过渡和局限的同聚变.
- 该方法为研究人员研究各种热力学系统的相位行为提供了有价值的工具.
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