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Simulation of the phase behavior in polar model liquids / by Heiko Braun. Wuppertal, 2015
Inhalt
Contents
List of Tables
List of Figures
Abbreviations
1 Introduction
Bibliography
2 Methods
2.1 Molecular dynamics simulation
2.1.1 Integrating the equations of motion
2.2 Monte Carlo simulations
2.2.1 Metropolis Monte Carlo method
2.2.2 The T p pi ensemble
2.3 Calculation of thermodynamic quantities
2.3.1 Ensemble and time average
2.3.2 Internal energy
2.3.3 Temperature
2.3.4 Pressure
2.4 Temperature control with the Berendsen thermostat
2.5 Optimization techniques
2.5.1 Periodic boundary conditions, cutoff radius and minimum image convention
2.5.2 The Linked-Cell-Verlet-List algorithm
2.5.3 Long range corrections
Bibliography
3 Models
3.1 Charged soft dumbbell model
3.2 Charged hard dumbbell model
3.3 Stockmayer model
3.4 Dipolar soft sphere model
3.5 Dipolar hard sphere model
3.5.1 Conversion of soft sphere to hard sphere results
3.6 Ionic soft sphere model
Bibliography
4 Analysis of the gas-liquid transition for charged soft dumbbells using molecular dynamics simulation
4.1 Phase coexistence in fluids
4.1.1 The Maxwell construction method
4.1.2 Scaling laws
4.1.3 Parameters for the molecular dynamics simulation
4.2 Gas-liquid transition of charged soft dumbbells
4.2.1 Tlusty-Safran theory
4.2.2 Flory lattice theory
4.2.3 Modified van der Waals mean field theory
Bibliography
5 Gas-liquid transition of dipolar soft spheres
Bibliography
6 Simulation results for the ionic system
6.1 Gas-liquid transition of ionic soft spheres
6.2 Ion pairing in the soft sphere ionic system
6.3 Comparison between Ewald summation and the reaction-field method
Bibliography
7 Osmotic pressure of charged systems
7.1 Osmosis and osmotic pressure
7.2 Simulation results for osmotic pressure
7.2.1 The modified simulation models
7.2.2 Test of the simulation routines for a Lennard-Jones system
7.2.3 Results for charged systems
7.2.4 Comparison with experimental results
Bibliography
8 Conclusion
Bibliography
Acknowledgments
A Reduced Lennard-Jones units
B Additional figures for osmotic pressure
Bibliography