A Multiscale Modeling Demonstration Based on the Pair Correlation Function
For systems with interatomic interactions that are well described by pairwise potentials, the pair correlation function provides a vehicle for passing information from the molecular-level to the macroscopic level of description. In this work, we present a complete demonstration of the use of the pair correlation function to simulate a fluid at the molecular and macroscopic levels. At the molecular-level, we describe a monatomic fluid using the Ornstein–Zernike integral equation theory closed with the Percus–Yevick approximation. At the macroscopic level, we perform a multiscale simulation with macroscopic evolution equations for the mass, momentum, temperature, and pair correlation function, using molecular-level simulation to provide the boundary conditions. We perform a self-consistency check by comparing the pair correlation function that evolved from the multiscale simulation with the one evaluated at the molecular-level; excellent agreement is achieved.
Carrie Y. Gao, Donald M. Nicholson, David J. Keffer, Brian J. Edwards. (2008). A multiscale modeling demonstration based on the pair correlation function. Journal of Non-Newtonian Fluid Mechanics, 152, Issues 1-3, 4th International workshop on Nonequilibrium Theromdynamics and Complex Fluids, 140-147, ISSN 0377-0257, DOI: 10.1016/j.jnnfm.2007.05.003. (http://www.sciencedirect.com/science/article/B6TGV-4NS0KPB-3/2/330d0bd3ff9538b9d88cb174039a1f7a)