Alberta Innovates-Technology Futures, Edmonton, Alberta, Canada T6N 1E4.
Phys Chem Chem Phys. 2011 Dec 14;13(46):20750-9. doi: 10.1039/c1cp21492f. Epub 2011 Oct 14.
A method is proposed for creating a non-equilibrium ensemble with a constant number of molecules, constant temperature and constant pressures with different target values in two reservoirs [referred to as NT(P(1)-P(2)) ensemble] that are connected by a finite length nanopore. This method includes two steps. The first step places a partition between the two reservoirs and then creates a static pressure field and a proper system volume by using two self-adjusting plates on which two external forces/pressures with different target values are exerted. The second step removes the partition and the two self-adjusting plates and the pressure difference between the two reservoirs is maintained by a "pump" designed to simultaneously create a periodic boundary condition between the two reservoirs and supply the necessary force (work) to a subset of molecules for a steady state flow. To examine this method, several cases using liquid argon with a truncated and shift Lennard-Jones potential under different target pressures and pump sizes were studied. Results show that the method proposed in this paper works well. In addition, the method proposed in this paper was compared with the other external force field methods. The results show that as long as the external force is applied to a restricted set of molecules away from the channel a constant pressure difference between two reservoirs is maintained. The advantage of the algorithm proposed here also sets the absolute pressures with different target levels in two reservoirs instead of it being arbitrary. Studies show that the fluid flow rate or permeability through a nanopore depends not only on the pressure difference between two reservoirs, but also on the absolute pressures in two reservoirs.
提出了一种在两个具有不同目标压力的储层(称为 NT(P(1)-P(2)) 系综)之间通过有限长度纳米孔建立具有恒定分子数、恒定温度和恒定压力的非平衡系综的方法。该方法包括两个步骤。第一步在两个储层之间放置一个隔板,然后通过两个施加不同目标值的外力/压力的两个自调节板创建静态压力场和适当的系统体积。第二步移除隔板和两个自调节板,通过设计一个“泵”来维持两个储层之间的压力差,该泵设计用于同时在两个储层之间创建周期性边界条件并为一部分分子提供必要的力(功)以实现稳态流动。为了检验这种方法,研究了几种使用截断和移位 Lennard-Jones 势能的液体氩在不同目标压力和泵尺寸下的情况。结果表明,本文提出的方法效果良好。此外,本文提出的方法与其他外力场方法进行了比较。结果表明,只要外力施加于远离通道的受限分子集,两个储层之间的压力差就可以保持恒定。这里提出的算法的优点还在于可以设置两个储层中不同目标水平的绝对压力,而不是任意设置。研究表明,纳米孔中的流体流速或渗透率不仅取决于两个储层之间的压力差,还取决于两个储层中的绝对压力。