We construct the contact value approximation (CVA) for the pair distribution function,
g(²)(r₁, r₂), for an inhomogeneous hard sphere fluid. The CVA is an average of two radial
distribution functions, which each take as input the distance between the particles, |r₂ −r₁|,
and the average value of the radial distribution...
We introduce an approximation for the pair distribution function of the inhomogeneous hard sphere fluid. Our approximation makes use of our recently published averaged pair distribution function at contact, which has been shown to accurately reproduce the averaged pair distribution function at contact for inhomogeneous density distributions. This approach achieves...
Free energy is a fundamental property of a thermodynamic system, from which pressure, entropy, and other interesting properties can be derived. It is useful, then, to be able to accurately compute the free energy at various densities and temperatures in a way that can serve as the basis for further...
We identify and develop efficient Monte Carlo methods for determining thermodynamic properties of the square-well fluid in order to test square-well density functional theories near the critical point. Previous works have developed generic so-called histogram methods for collecting statistics on low energy system states, but little or no literature exists...
This dissertation reports on the computational physics research in the area of
inhomogeneous fluids. I first discuss the theory background for this work beginning
with water, which is important for the two published articles that are presented in
this work (Chapters 5 and 6). Next, I give a brief overview...
This thesis reports on computational research in two different areas. I first discuss the Min-protein system found within Escherichia coli. Following this I discuss an extended investigation into improving free energy functionals that are used within Classical Density Functional Theory in order to model water. Chapter 2 examines the dynamics...