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Contents

Abstract                                                                  ii

Acknowledgements                                              iv

Table of Contents                                                  v

List of Figures                                                             viii

List of Tables                                                            xi

1 Introduction                                                        1

1.1 Motivation................................. 2

1.1.1 Molecular modeling of the thermodynamics and phase behavior
of bulk polymer systems..................... 4

1.1.2 Molecular modeling of the microstructure and thermodynamics
of inhomogeneous polymers ................... 14

1.2  Basis: Wertheim’s first order thermodynamic perturbation theory for

associating fluids............................. 22

1.3  Scopeofthiswork ............................ 28

2 SAFT-D: a new equation of state for polymers based on SAFT 32

2.1  Introduction................................ 32

2.2  SAFT-D equation of state........................ 37

2.2.1 Chain term............................ 38

2.2.2 Dispersion term.......................... 44

2.3  Results and discussion.......................... 48

2.3.1 Pure components......................... 48

2.3.2 Mixtures..............  53

2.3.3 Polymer systems..........  55

2.4  Conclusions................................ 60

3 Brief background on density functional theories based on TPTl 62

3.1  Formalism of a density functional theory...........  62

3.2  Chandler, McCoy and Singer....................... 65

V



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