G. Hummer et al., PRESSURE CALCULATION IN POLAR AND CHARGED SYSTEMS USING EWALD SUMMATION - RESULTS FOR THE EXTENDED SIMPLE POINT-CHARGE MODEL OF WATER, The Journal of chemical physics, 109(7), 1998, pp. 2791-2797
Ewald summation and physically equivalent methods such as particle-mes
h Ewald, kubic-harmonic expansions, or Lekner sums are commonly used t
o calculate long-range electrostatic interactions in computer simulati
ons of polar and charged substances. The calculation of pressures in s
uch systems is investigated. We find that the virial and thermodynamic
pressures differ because of the explicit volume dependence of the eff
ective, resummed Ewald potential. The thermodynamic pressure, obtained
from the volume derivative of the Helmholtz free energy, can be expre
ssed easily for both ionic and rigid molecular systems. For. a system
of rigid molecules, the electrostatic energy and the forces at the ato
m positions are required, both of which are readily available in molec
ular dynamics codes. We then calculate the virial and thermodynamic pr
essures for the extended simple point charge (SPC/E) water model at st
andard conditions. We find that the thermodynamic pressure exhibits co
nsiderably less system size dependence than the virial pressure. From
an analysis of the cross correlation between the virial and thermodyna
mic pressure, we conclude that the thermodynamic pressure should be us
ed to drive volume fluctuations in constant-pressure simulations. (C)
1998 American Institute of Physics.