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Chapter 3

Brief background on density

functional theories based on TPTl

This chapter introduces the formalism of a density functional theory (DFT) and
demonstrates how TPTl or its extension for homogeneous polymer systems (SAFT)
fit into this formalism. The chapter gives a brief review on the DFTs based on
TPT1∕SAFT.

3.1 Formalism of a density functional theory

The mathematical formulation of DFT stems from quantum mechanics. The ap-
proach was developed by Hohenberg and Kohn [96] to describe the electronic structure
for a ground state of an inhomogeneous electronic field. Classical DFT (hereafter
referred to as just DFT) closely resembles quantum DFT, except that the density

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