Microscopic expressions for interfacial bending constants and spontaneous curvature
Victor Romero-Rochn, Carmen Varea, A. Robledo · Physical Review A · 1991
We derive the interfacial-curvature free energy for a simple fluid from density-functional theory, and find a form matching that for a two-dimensional shearless elastic media. The fourth moment of the direct correlation function and the density gradient determine the bending moduli \ensuremath{\kappa} and \ensuremath{\kappa}\ifmmode\bar\else\textasciimacron\fi{}, while the spontaneous curvature ${\mathit{c}}_{0}$ is given by asymmetry in the density. We obtain the critical indices of these quantities and corrections to the Laplace equation for curved interfaces.