Computing the pair distribution function g(r) of a cell geometry

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Table of contents

1 Methods 
1.1 System and Experimental Tools
1.1.1 Colloidal suspension of super-paramagnetic spheres
1.1.1.1 Super-paramagnetic spheres and their magnetic moment
1.1.1.2 Preparation of the colloidal suspension
1.1.2 General description of the Experimental Setup
1.1.2.1 Sample holder
1.1.2.2 The external magnetic field ~B
1.1.2.3 Optical Device
1.1.2.4 Image Processing
1.2 Simulation Methods
1.2.1 Cell Geometry
1.2.2 Monte Carlo Procedure
1.3 Order Parameters
1.3.1 Pair distribution function
1.3.1.1 Basic formalism for liquid structure
1.3.1.2 Computing the pair distribution function g(r) of a cell geometry
1.3.1.3 Equilibration and finite size effect check
1.3.2 Bond orientational correlation function g6(r)
1.3.2.1 General definitions
1.3.2.2 Equilibrium and finite size effect check
2 Granular media vs Colloidal system 
2.1 Introduction
2.2 Methods
2.3 Results
2.4 Crystalline Defects Analysis
2.4.1 Comparison of Granular and Colloidal systems
2.4.2 Influence of equilibration time on ordering
2.5 Discussion
3 Crystallization of binary mixtures 
3.1 Introduction
3.2 Model
3.3 Results
3.4 Concluding remarks
Bibliography