Gs. Heffelfinger et F. Vanswol, DIFFUSION IN LENNARD-JONES FLUIDS USING DUAL CONTROL-VOLUME GRAND-CANONICAL MOLECULAR-DYNAMICS SIMULATION (DCV-GCMD), The Journal of chemical physics, 100(10), 1994, pp. 7548-7552
A new approach to calculating diffusivities, both transport as well as
equilibrium, is presented. The dual control volume grand canonical mo
lecular dynamics (or DCV-GCMD) method employs two local control volume
s for chemical potential control via particle creation/destruction as
in grand canonical Monte Carlo (GCMC) simulations. The control volumes
are inserted in a standard NVT molecular dynamics simulation yielding
a simulation with stochastic chemical potential control that may be t
hought of as a hybrid GCMC-MD approach. The geometrical control of the
chemical potential enables a steady state chemical potential gradient
to be established in the system. By measuring the density profile and
flux, Fick's law is used to determine the diffusivity. An example cal
culation is presented for a simple Lennard-Jones system.