Liquid Crystals and their Computer SimulationsCambridge University Press, 28 lug 2022 - 686 pagine Standing as the first unified textbook on the subject, Liquid Crystals and Their Computer Simulations provides a comprehensive and up-to-date treatment of liquid crystals and of their Monte Carlo and molecular dynamics computer simulations. Liquid crystals have a complex physical nature, and, therefore, computer simulations are a key element of research in this field. This modern text develops a uniform formalism for addressing various spectroscopic techniques and other experimental methods for studying phase transitions of liquid crystals, and emphasises the links between their molecular organisation and observable static and dynamic properties. Aided by the inclusion of a set of Appendices containing detailed mathematical background and derivations, this book is accessible to a broad and multidisciplinary audience. Primarily intended for graduate students and academic researchers, it is also an invaluable reference for industrial researchers working on the development of liquid crystal display technology. |
Sommario
| 1 | |
2 Phase Transitions | 61 |
3 Order Parameters | 107 |
4 Distributions | 174 |
5 ParticleParticle Interactions | 219 |
6 Dynamics and Dynamical Properties | 288 |
7 Molecular Theories | 332 |
8 Monte Carlo Methods | 359 |
Appendix D The Dirac Delta Function | 558 |
Appendix E Fourier Series and Transforms | 562 |
Appendix F Wigner Rotation Matrices and Angular Momentum | 566 |
Appendix G Molecular and Mesophase Symmetry | 574 |
Appendix H Quaternions and Rotations | 587 |
Appendix I Nuclear Magnetic Resonance | 592 |
Appendix J Xray Diffraction | 596 |
Appendix K Stochastic Processes | 602 |
9 The Molecular Dynamics Method | 379 |
10 Lattice Models | 401 |
11 Molecular Simulations | 434 |
12 Atomistic Simulations | 487 |
Appendix A A Modicum of Linear Algebra | 537 |
Appendix B Tensors and Rotations | 547 |
Appendix C Taylor Series | 555 |
Appendix L Simulating Polarized Optical Microscopy Textures | 604 |
Appendix M Units and Conversion Factors | 607 |
Appendix N Acronyms and Symbols | 608 |
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alignment angle angular anisotropic atomistic atoms average axis behaviour Berardi biaxial bilayer bond calculated centre chains Chapter chiral cholesteric coefficients columnar columnar phase components computer simulations configuration consider correlation functions corresponding defined density dependence dipole director discotic distribution elastic constants ellipsoids entropy equation equilibrium Euler angles example experimental field Figure film fluid frame free energy interaction intermolecular isotropic isotropic phase lattice layer linear liquid crystals Luckhurst lyotropic magnetic matrix mesogens mesophase Molecular Dynamics molecular organization molecules monomers nematic nematic phase normally obtained order parameters orientational order orthogonal pair potential particles perpendicular phase diagram phase transition polar polymer position properties quaternion rigid rotation rotation matrix sample second-rank Section shown in Fig smectic smectic phases spherical structure surface symmetry tensor transition temperature uniaxial values vector Wigner z-axis Zannoni