arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2301.05063cond-mat.softcond-mat.stat-mech
收藏

简单液体的有限尺寸超额熵标度

Finite-size excess-entropy scaling for simple liquids

Mauricio Sevilla, Atreyee Banerjee, Robinson Cortes-Huerto

AI总结:

本文提出并验证简单液体两体超额熵的有限尺寸积分方程,揭示 $s_2$ 与自扩散系数 $D^*$ 随模拟盒尺寸的标度规律,并外推得到与文献一致的标度系数。

摘要:

我们引入并验证了一个有限尺寸的两体超额熵积分方程。通过解析论证和对典型简单液体的计算机模拟,我们证明超额熵 $s_2$ 表现出与模拟盒线性尺寸倒数相关的有限尺寸标度。由于自扩散系数 $D^*$ 也呈现类似的有限尺寸效应,我们证明标度熵关系 $D^*=A\exp(αs_2)$ 同样依赖于模拟盒尺寸。通过外推到热力学极限,我们报告了系数 $A$ 和 $α$ 的数值,它们与文献中已有数值高度吻合。最后,我们发现 $D^*$ 与 $s_2$ 的标度系数之间存在幂律关系,表明黏度与熵之比为常数。

英文摘要:

We introduce and validate a finite-size two-body excess entropy integral equation. By using analytical arguments and computer simulations of prototypical simple liquids, we show that the excess entropy $s_2$ exhibits a finite-size scaling with the inverse of the linear size of the simulation box. Since the self-diffusivity coefficient $D^*$ displays a similar finite-size effect, we show that the scaling entropy relation $D^*=A\exp(αs_2)$ also depends on the simulation box size. By extrapolating to the thermodynamic limit, we report values for the coefficients $A$ and $α$ that agree well with values available in the literature. Finally, we find a power law relation between the scaling coefficients for $D^*$ and $s_2$, suggesting a constant viscosity to entropy ratio.

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。

↑