(227c) My Research Adventures with Pete Monson

Cummings, P. T., Vanderbilt University
In the mid-1980s, Pete Monson and I collaborated for several years on some interesting questions surrounding the numerical solution of the Ornstein-Zernike equation for simple fluids in the two-phase region and near the critical point. This was at a time when there was some significant interest in, and quite a bit of controversy, about the critical behavior of simple fluids predicted from liquid-state theories. Pete and I approached this from complementary viewpoints – his from the point of view of numerical solution, mine from insights gained from solving integral equations analytically. Our collaboration led to three papers [1]-[3] that I thought were very insightful. In this talk, I will try to convince you why!

  1. Cummings, P. T. Monson, P. A., "Solution of the Ornstein-Zernike Equation in the Vicinity of the Critical-Point of a Simple Fluid," Journal of Chemical Physics, 82, 4303-4311 (1985). 10.1063/1.448820
  2. Monson, P. A. Cummings, P. T., "Solution of the Percus-Yevick Equation in the Coexistence Region of a Simple Fluid,"International Journal of Thermophysics, 6, 573-584 (1985). 10.1007/bf00500330
  3. Cummings, P. T. Monson, P. A., "A New Method for the Numerical-Solution of Integral-Equation Approximations,"International Journal of Thermophysics, 11, 97-107 (1990). 10.1007/bf00503862