By Stuart A. Rice, Aaron R. Dinner
The Advances in Chemical Physics sequence offers the chemical physics box with a discussion board for severe, authoritative reviews of advances in each region of the self-discipline. This quantity explores the next issues:
- Thermodynamic Perturbation conception for Associating Molecules
- Path Integrals and potent Potentials within the learn of Monatomic Fluids at Equilibrium
- Sponteneous Symmetry Breaking in topic brought on via Degeneracies and Pseudogeneracies
- Mean-Field Electrostatics past the Point-Charge Description
- First Passage approaches in mobile Biology
- Theoretical Modeling of Vibrational Spectra and Proton Tunneling in Hydroen-Bonded Systems
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Additional info for Advances in Chemical Physics, Volume 160
CHAPMAN Based on Eq. (102), Jain et al.  proposed a DFT for heteronuclear polyatomic molecules by taking the limit of the free energy functional for complete association of a fluid of spheres. Interestingly, in this limit, the theory automatically corrects the ideal gas free energy functional from an ideal gas of spheres to predict the exact free energy and density distribution for an ideal gas chain. Bymaster and Chapman  have shown that, in addition to associating spheres, Eq. (102) is applicable to associating polyatomic molecules.
In recent developments, a number of these approximations have been relaxed. The remainder of this chapter will review some of these extensions of the theory and development of a molecular DFT for inhomogeneous fluids. VI. THE TWO‐SITE AB CASE In Section V it was shown how Wertheim’s multi‐density approach could be used to develop an equation for associating fluids with an arbitrary number of association sites provided a number of assumptions were satisfied. The simplicity of the TPT1 solution results from the fact that the solution is that of an effective two‐body problem.
Each of these contributions consists of an infinite series of graphs with a single associated cluster interacting with the reference fluid. These series can be summed as follows: cnchain V 1 2 d k 1 n n 1 n o AA gHS 1 f n 1 AA k, k 1 (34) k 1 and cring 1 6 V 3 3 o AA gHS 123 f AA 12 AA 23 AA 13 d 2 d 3 (35) Here 4 and the functions gHS(1 … k) are the k body correlation functions of the hard sphere reference system. Since little is known about the correlation functions gHS(1 … k) for k > 3, we must approximate the higher order gHS(1 … k) in superposition.
Advances in Chemical Physics, Volume 160 by Stuart A. Rice, Aaron R. Dinner