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arXiv 2404.02520cond-mat.softcond-mat.stat-mechphysics.chem-ph
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关于简单流体中Fisher--Widom线与超额等温压缩率消失线的一个猜想的探讨

On a conjecture concerning the Fisher--Widom line and the line of vanishing excess isothermal compressibility in simple fluids

Ana M. Montero, Álvaro Rodríguez-Rivas, Santos B. Yuste, Andrés Santos, Mariano López de Haro

AI总结:

本研究通过Jagla势和蒙特卡洛模拟检验了简单流体中超额等温压缩率消失线近似于Fisher--Widom线的猜想,一维不支持而三维验证了该猜想。

摘要:

在液态理论的统计力学方法中,理解分子间势能在决定热力学和结构性质中的作用至关重要。Fisher--Widom(FW)线在温度-密度平面中划分了总相关函数衰减为单调或振荡的区域,为相互作用中吸引或排斥部分的支配地位提供了见解。Stopper等人近期猜想[J. Chem. Phys. 151, 014501 (2019)],在简单流体中,超额等温压缩率消失线近似于FW线。在此,我们利用Jagla势研究这一猜想,并同时探索超额压力消失线。我们采用理论近似和蒙特卡洛模拟来研究一维和三维系统。尽管一维情况下的精确结果不支持该猜想,但我们对三维流体的蒙特卡洛模拟验证了它。我们的发现不仅有助于理解三条转变线之间的关系,也为简单流体的热力学和结构行为提供了有价值的见解。

英文摘要:

In the statistical mechanics approach to liquid-state theory, understanding the role of the intermolecular potential in determining thermodynamic and structural properties is crucial. The Fisher--Widom (FW) line, which separates regions in the temperature vs density plane where the decay of the total correlation function is monotonic or oscillatory, provides insights into the dominance of the attractive or repulsive part of the interactions. Stopper et al. have recently conjectured [J. Chem. Phys. \textbf{151}, 014501 (2019)] that the line of vanishing excess isothermal compressibility approximates the FW line in simple fluids. Here, we investigate this conjecture using the Jagla potential and also explore the line of vanishing excess pressure. We employ theoretical approximations and Monte Carlo simulations to study one-dimensional and three-dimensional systems. While exact results for the one-dimensional case do not support the conjecture, our Monte Carlo simulations for the three-dimensional fluid validate it. Our findings not only contribute to the understanding of the relationship between the three transition lines but also provide valuable insights into the thermodynamic and structural behaviour of simple fluids.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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