狭缝孔中受限流体的多层近似
Multilayer approximation for a confined fluid in a slit pore
摘要：
基于多层结构模型，研究了一种简单的Lennard-Jones流体在具有硬壁的狭缝纳米孔中的流动。每一层都是均匀的，并且平行于孔壁。该系统的亥姆霍兹能量是根据范德华近似构造的，其优点是模型的几何形状允许获得所涉及的积分的解析表达式。作为处于热力学平衡的多层体系，得到了各层密度和宽度的非线性方程组。方程的数值解给出了密度分布和纵向压力。结果与蒙特卡罗模拟和氮的实验数据进行了比较，显示出非常好的协议。
英文摘要：
A simple Lennard-Jones fluid confined in a slit nanopore with hard walls is studied on the basis of a multilayer structured model. Each layer is homogeneous and parallel to the walls of the pore. The Helmholtz energy of this system is constructed following van der Waals-like approximations, with the advantage that the model geometry permits to obtain analytical expressions for the integrals involved. Being the multilayer system in thermodynamic equilibrium, a system of non-linear equations is obtained for the densities and widths of the layers. A numerical solution of the equations gives the density profile and the longitudinal pressures. The results are compared with Monte Carlo simulations and with experimental data for Nitrogen, showing very good agreement.
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