Ng. Parsonage, A GRAND-CANONICAL ENSEMBLE MONTE-CARLO STUDY OF THE EFFECTS OF CHANGEOF CORE SIZE ON THE THERMODYNAMIC PROPERTIES OF A MODIFIED LENNARD-JONES FLUID, Molecular simulation, 19(3), 1997, pp. 161-179
It is shown by consideration of the fundamental theory that when deali
ng with potentials having hard cores the Grand Canonical Ensemble Mont
e Carlo (GCEMC) method should not introduce large errors of the type p
reviously found in the use of the Shing-Gubbins (SG) method for estima
tion of the chemical potential. This is confirmed by making simulation
runs using the GCEMC and the Canonical Ensemble Monte Carlo (CEMC) me
thods on similar systems having the hard-core Lennard-Jones intermolec
ular potential. Only when the hardcore parameter (alpha) (where the ha
rd-core diameter is alpha sigma, sigma being the Lennard-Jones length
parameter) is increased from 0.9 to 0.95 are appreciable changes in de
nsity and reduced potential energy (for a given mu) found. Correspondi
ng, though much larger, changes in the fluctuations quantities f(NN)(=
[N-2] - [N](2)) and f(NU)(= [NUN] -[N][U-N]), though not inf(NU)/f(NN
), also occur.