论文标题
诱导表面和曲率紧张近距离的替代公式
Alternative Formulation of the Induced Surface and Curvature Tensions Approach
论文作者
论文摘要
我们开发了一种新颖的方法来分析大规范合奏中经典硬球的多组分混合物的排除体积。该方法基于拉普拉斯 - 风格变换技术，并允许人们解释诱导表面和曲率张力状态方程的粒子数密度的波动。结果，通过在中等和高填充部分中获得诱导的表面和曲率张力系数的抑制，可以超越范德华的近似值。与标准诱导的表面和曲率张力方程相反，这些系数的抑制不是指数级的，而是类似于功率的系数。获得的替代状态方程进一步概括，以说明更高的病毒系数。该结果直接概括为量子统计的情况。
We develop a novel method to analyze the excluded volume of the multicomponent mixtures of classical hard spheres in the grand canonical ensemble. The method is based on the Laplace-Fourier transform technique and allows one to account for the fluctuations of the particle number density for the induced surface and curvature tensions equation of state. As a result one can go beyond the Van der Waals approximation by obtaining the suppression of the induced surface and curvature tensions coefficients at moderate and high packing fractions. In contrast to the standard induced surface and curvature tensions equation of state the suppression of these coefficients is not an exponential one, but a power-like one. The obtained alternative equation of state is further generalized to account for higher virial coefficients. This result is straightforwardly generalized to the case of quantum statistics.
