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Computer simulation of confined and fexoelectric liquid crystalline systems

F.Barmes

Sheffield Hallam University, June 2003.

Abstract

Introduction

Chap 1: The liquid crystalline phases

  1. Introduction.
  2. Characterisation of liquid crystals.
  3. Flexoelectric liquid crystals.
  4. Theoretical approach to liquid crystals.
  5. Experimental study of liquid crystals
  6. Applications

Chap 2: Computer simulations of liquid crystals

  1. Introduction
  2. Molecular modelling techniques
  3. Molecular models of liquid crystals
  4. Modelling of flexoelectric particles
  5. Liquid crystals in confined geometries
  6. Anchoring transitions

Chap 3: Computer simulations of Hard Gaussian Overlaps

  1. Introduction
  2. Observable computation
  3. Computer simulations

Chap 4: Surface influence on liquid crystalline systems

  1. Introduction
  2. A first surface potential
  3. Symmetric anchored systems
  4. Surface influence on phase transition
  5. Conclusion

Chap 5: More on confined geometries

  1. Introduction
  2. Realistic surface potentials: the RSP
  3. Realistic surface potentials: the RSUP
  4. Hybrid anchored systems
  5. Conclusion

Chap 6: Bulk simulations of pear shaped particles

  1. Introcution
  2. The HP model
  3. The PHGO model
  4. Phase behaviour of the PHGO model
  5. Conclusion

Chap 7: Confined pear shaped particles

  1. Introduction
  2. The flexoelectric display
  3. Molecular models
  4. Symmetric systems
  5. Hybrid systems
  6. Flexoelectric switching
  7. Conclusion

Conclusions and Future Work

Appendix A: Asorbed volume of an HGO into a substrate

  1. Introduction
  2. Case of a sphere
  3. Coordinates of A and B
  4. Expression for d1
  5. Expression for Ve

Appendix B: Particle-field electrostatic interactions

  1. Dielectric interaction
  2. Dipolar interaction
  3. Particle-field interaction

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