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Biaxial nematic liquid crystals : theory, simulation, and experiment / / edited by Geoffrey R. Luckhurst and Timothy J. Sluckin
| Biaxial nematic liquid crystals : theory, simulation, and experiment / / edited by Geoffrey R. Luckhurst and Timothy J. Sluckin |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 530.4/29 |
| Soggetto topico |
Nematic liquid crystals
Liquid crystals - Spectra Liquid crystals - Research |
| ISBN |
1-118-69635-2
1-118-69631-X 1-118-69633-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; About the Editors; List of Contributors; Preface; Chapter 1 Introduction; 1.1 Historical Background; 1.2 Freiser Theory; 1.3 Nematic Order Parameters; 1.4 Nematic Tensor Order Parameters; 1.5 Theoretical Phase Diagrams; 1.6 Landau-de Gennes Theory; 1.7 Computer Simulation; 1.8 Other Theoretical Issues; 1.9 Applications; 1.10 Characterisation; 1.11 Lyotropic and Colloidal Systems; 1.12 Molecular Design; References; Chapter 2 Biaxial Nematics: Order Parameters and Distribution Functions; 2.1 Introduction; 2.2 The Cartesian Language; 2.2.1 Order Parameters
2.2.2 Molecular Symmetry2.2.3 Measurement; 2.3 The Spherical Tensor Language; 2.3.1 The Order Parameters of Biaxial Molecules in a Uniaxial Phase; 2.3.2 Molecular Symmetry; 2.3.3 Measurement; 2.4 Extension to Biaxial Nematics; 2.4.1 Orientational Order Parameters; 2.4.2 Systems with D2h Point Group Symmetry; 2.4.3 Measurement of the Order Parameters; 2.4.4 Systems with C2h Point Group Symmetry and Their Order Parameters; 2.4.5 Systems with C2h Point Group Symmetry: The Cartesian Language; 2.5 Fourth-Rank Order Parameters; 2.6 The Singlet Orientational Distribution Function; 2.7 Appendices 2.7.1 Point Group Symmetry and the Associated Symmetry Operations2.7.2 Legendre Polynomials, Modified Spherical Harmonics and Wigner Rotation Matrices; Acknowledgements; References; Chapter 3 Molecular Field Theory; 3.1 Introduction; 3.2 General Mathematical Theory; 3.2.1 Two-Particle Hamiltonian; 3.2.2 Ensemble Potentials; 3.2.3 Molecular Field Approximation; 3.2.4 Variational Principles; 3.2.5 Local Stability Criterion; 3.3 Non-Polar Molecules; 3.3.1 Quadrupolar Hamiltonians; 3.3.2 Phase Transitions; 3.3.3 Universal Phase Diagram; 3.3.4 Steric Effects; 3.4 Polar Molecules 3.4.1 Dipolar Fluids3.4.2 Dipolar Hamiltonian; 3.4.3 Condensed Polar Phases; References; Chapter 4 Hard Particle Theories; 4.1 Introduction; 4.2 Theoretical Approaches; 4.3 Board-Like Models; 4.4 Bent-Core Models; 4.5 Rod-Plate Mixtures; 4.6 Conclusions and Speculations; Acknowledgements; References; Chapter 5 Landau Theory of Nematic Phases; 5.1 Introduction; 5.2 Symmetry of Biaxial Nematics and Primary Order Parameters; 5.3 Landau Expansion; 5.3.1 Generic NU-I Phase Transition; 5.3.2 Generic NB-NU and NB-I Phase Transitions; 5.3.3 Role of Coupling between Nematic Order Parameters 5.3.4 Landau-de Gennes Expansion in Terms of the Alignment Tensor5.4 Conclusion; Acknowledgements; References; Chapter 6 Computer Simulations of Biaxial Nematics; 6.1 Introduction; 6.2 Order Parameters; 6.3 Model Potentials and Applications; 6.3.1 Lattice Models; 6.3.2 Atomistic Models; 6.3.3 Molecular Models; 6.4 Conclusion; Acknowledgements; 6.5 Appendices; 6.5.1 Quaternions; 6.5.2 Angular Momentum Operator; 6.5.3 Kinematic and Dynamic Equations of Rotational Motion; 6.5.4 Propagator/Integrator of Rotational Equations of Motion; 6.5.5 Gradient of the Biaxial Gay-Berne Potential 6.5.6 Torques of the Biaxial Gay-Berne Potential |
| Record Nr. | UNINA-9910132274703321 |
| Chichester, England : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Biaxial nematic liquid crystals : theory, simulation, and experiment / / edited by Geoffrey R. Luckhurst and Timothy J. Sluckin
| Biaxial nematic liquid crystals : theory, simulation, and experiment / / edited by Geoffrey R. Luckhurst and Timothy J. Sluckin |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 530.4/29 |
| Soggetto topico |
Nematic liquid crystals
Liquid crystals - Spectra Liquid crystals - Research |
| ISBN |
1-118-69635-2
1-118-69631-X 1-118-69633-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; About the Editors; List of Contributors; Preface; Chapter 1 Introduction; 1.1 Historical Background; 1.2 Freiser Theory; 1.3 Nematic Order Parameters; 1.4 Nematic Tensor Order Parameters; 1.5 Theoretical Phase Diagrams; 1.6 Landau-de Gennes Theory; 1.7 Computer Simulation; 1.8 Other Theoretical Issues; 1.9 Applications; 1.10 Characterisation; 1.11 Lyotropic and Colloidal Systems; 1.12 Molecular Design; References; Chapter 2 Biaxial Nematics: Order Parameters and Distribution Functions; 2.1 Introduction; 2.2 The Cartesian Language; 2.2.1 Order Parameters
2.2.2 Molecular Symmetry2.2.3 Measurement; 2.3 The Spherical Tensor Language; 2.3.1 The Order Parameters of Biaxial Molecules in a Uniaxial Phase; 2.3.2 Molecular Symmetry; 2.3.3 Measurement; 2.4 Extension to Biaxial Nematics; 2.4.1 Orientational Order Parameters; 2.4.2 Systems with D2h Point Group Symmetry; 2.4.3 Measurement of the Order Parameters; 2.4.4 Systems with C2h Point Group Symmetry and Their Order Parameters; 2.4.5 Systems with C2h Point Group Symmetry: The Cartesian Language; 2.5 Fourth-Rank Order Parameters; 2.6 The Singlet Orientational Distribution Function; 2.7 Appendices 2.7.1 Point Group Symmetry and the Associated Symmetry Operations2.7.2 Legendre Polynomials, Modified Spherical Harmonics and Wigner Rotation Matrices; Acknowledgements; References; Chapter 3 Molecular Field Theory; 3.1 Introduction; 3.2 General Mathematical Theory; 3.2.1 Two-Particle Hamiltonian; 3.2.2 Ensemble Potentials; 3.2.3 Molecular Field Approximation; 3.2.4 Variational Principles; 3.2.5 Local Stability Criterion; 3.3 Non-Polar Molecules; 3.3.1 Quadrupolar Hamiltonians; 3.3.2 Phase Transitions; 3.3.3 Universal Phase Diagram; 3.3.4 Steric Effects; 3.4 Polar Molecules 3.4.1 Dipolar Fluids3.4.2 Dipolar Hamiltonian; 3.4.3 Condensed Polar Phases; References; Chapter 4 Hard Particle Theories; 4.1 Introduction; 4.2 Theoretical Approaches; 4.3 Board-Like Models; 4.4 Bent-Core Models; 4.5 Rod-Plate Mixtures; 4.6 Conclusions and Speculations; Acknowledgements; References; Chapter 5 Landau Theory of Nematic Phases; 5.1 Introduction; 5.2 Symmetry of Biaxial Nematics and Primary Order Parameters; 5.3 Landau Expansion; 5.3.1 Generic NU-I Phase Transition; 5.3.2 Generic NB-NU and NB-I Phase Transitions; 5.3.3 Role of Coupling between Nematic Order Parameters 5.3.4 Landau-de Gennes Expansion in Terms of the Alignment Tensor5.4 Conclusion; Acknowledgements; References; Chapter 6 Computer Simulations of Biaxial Nematics; 6.1 Introduction; 6.2 Order Parameters; 6.3 Model Potentials and Applications; 6.3.1 Lattice Models; 6.3.2 Atomistic Models; 6.3.3 Molecular Models; 6.4 Conclusion; Acknowledgements; 6.5 Appendices; 6.5.1 Quaternions; 6.5.2 Angular Momentum Operator; 6.5.3 Kinematic and Dynamic Equations of Rotational Motion; 6.5.4 Propagator/Integrator of Rotational Equations of Motion; 6.5.5 Gradient of the Biaxial Gay-Berne Potential 6.5.6 Torques of the Biaxial Gay-Berne Potential |
| Record Nr. | UNINA-9910828850303321 |
| Chichester, England : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nematicons : spatial optical solitons in nematic liquid crystals / / edited by Gaetano Assanto
| Nematicons : spatial optical solitons in nematic liquid crystals / / edited by Gaetano Assanto |
| Autore | Assanto Gaetano |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2013 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina |
530.124
530.429 |
| Collana | Wiley Series in Pure and Applied Optics |
| Soggetto topico |
Solitons
Nematic liquid crystals Liquid crystals - Spectra |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-41463-2
1-118-41459-4 |
| Classificazione | SCI053000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Nematicons; Contents; Preface; Acknowledgments; Contributors; Chapter 1. Nematicons; 1.1 Introduction; 1.1.1 Nematic Liquid Crystals; 1.1.2 Nonlinear Optics and Solitons; 1.1.3 Initial Results on Light Self-Focusing in Liquid Crystals; 1.2 Models; 1.2.1 Scalar Perturbative Model; 1.2.2 Anisotropic Perturbative Model; 1.3 Numerical Simulations; 1.3.1 Nematicon Profile; 1.3.2 Gaussian Input; 1.4 Experimental Observations; 1.4.1 Nematicon-Nematicon Interactions; 1.4.2 Modulational Instability; 1.5 Conclusions; References; Chapter 2. Features of Strongly Nonlocal Spatial Solitons
2.1 Introduction2.2 Phenomenological Theory of Strongly Nonlocal Spatial Solitons; 2.2.1 The Nonlinearly Induced Refractive Index Change of Materials; 2.2.2 From the Nonlocal Nonlinear Schrödinger Equation to the Snyder-Mitchell Model; 2.2.3 An Accessible Soliton of the Snyder-Mitchell Model; 2.2.4 Breather and Soliton Clusters of the Snyder-Mitchell Model; 2.2.5 Complex-Variable-Function Gaussian Breathers and Solitons; 2.2.6 Self-Induced Fractional Fourier Transform; 2.3 Nonlocal Spatial Solitons in Nematic Liquid Crystals; 2.3.1 Voltage-Controllable Characteristic Length of NLC 2.3.2 Nematicons as Strongly Nonlocal Spatial Solitons2.3.3 Nematicon-Nematicon Interactions; 2.4 Conclusion; Appendix 2.A: Proof of the Equivalence of the Snyder-Mitchell Model (Eq. 2.16) and the Strongly Nonlocal Model (Eq. 2.11); Appendix 2.B: Perturbative Solution for a Single Soliton of the NNLSE (Eq. 2.4) in NLC; References; Chapter 3. Theoretical Approaches to Nonlinear Wave Evolution in Higher Dimensions; 3.1 Simple Example of Multiple Scales Analysis; 3.2 Survey of Perturbation Methods for Solitary Waves; 3.3 Linearized Perturbation Theory for Nonlinear Schrödinger Equation 3.4 Modulation Theory: Nonlinear Schrödinger Equation3.5 Radiation Loss; 3.6 Solitary Waves in Nematic Liquid Crystals: Nematicons; 3.7 Radiation Loss for The Nematicon Equations; 3.8 Choice of Trial Function; 3.9 Conclusions; Appendix 3.A: Integrals; Appendix 3.B: Shelf Radius; References; Chapter 4. Soliton Families in Strongly Nonlocal Media; 4.1 Introduction; 4.2 Mathematical Models; 4.2.1 General; 4.2.2 Nonlocality Through Response Function; 4.3 Soliton Families in Strongly Nonlocal Nonlinear Media; 4.3.1 One-Dimensional Hermite-Gaussian Spatial Solitons 4.3.2 Two-Dimensional Laguerre-Gaussian Soliton Families4.3.3 Accessible Solitons in the General Model of Beam Propagation in NLC; 4.3.4 Two-Dimensional Self-Similar Hermite-Gaussian Spatial Solitons; 4.3.5 Two-Dimensional Whittaker Solitons; 4.4 Conclusions; References; Chapter 5. External Control of Nematicon Paths; 5.1 Introduction; 5.2 Basic Equations; 5.3 Nematicon Control with External Light Beams; 5.3.1 Interaction with Circular Spots; 5.3.2 Dielectric Interfaces; 5.3.3 Comments; 5.4 Voltage Control of Nematicon Walk-Off; 5.4.1 Out-of-Plane Steering of Nematicons 5.4.2 In-Plane Steering of Nematicon |
| Record Nr. | UNINA-9910141378703321 |
Assanto Gaetano
|
||
| Hoboken, New Jersey : , : Wiley, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nematicons : spatial optical solitons in nematic liquid crystals / / edited by Gaetano Assanto
| Nematicons : spatial optical solitons in nematic liquid crystals / / edited by Gaetano Assanto |
| Autore | Assanto Gaetano |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2013 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina |
530.124
530.429 |
| Collana | Wiley Series in Pure and Applied Optics |
| Soggetto topico |
Solitons
Nematic liquid crystals Liquid crystals - Spectra |
| ISBN |
1-118-41463-2
1-118-41459-4 |
| Classificazione | SCI053000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Nematicons; Contents; Preface; Acknowledgments; Contributors; Chapter 1. Nematicons; 1.1 Introduction; 1.1.1 Nematic Liquid Crystals; 1.1.2 Nonlinear Optics and Solitons; 1.1.3 Initial Results on Light Self-Focusing in Liquid Crystals; 1.2 Models; 1.2.1 Scalar Perturbative Model; 1.2.2 Anisotropic Perturbative Model; 1.3 Numerical Simulations; 1.3.1 Nematicon Profile; 1.3.2 Gaussian Input; 1.4 Experimental Observations; 1.4.1 Nematicon-Nematicon Interactions; 1.4.2 Modulational Instability; 1.5 Conclusions; References; Chapter 2. Features of Strongly Nonlocal Spatial Solitons
2.1 Introduction2.2 Phenomenological Theory of Strongly Nonlocal Spatial Solitons; 2.2.1 The Nonlinearly Induced Refractive Index Change of Materials; 2.2.2 From the Nonlocal Nonlinear Schrödinger Equation to the Snyder-Mitchell Model; 2.2.3 An Accessible Soliton of the Snyder-Mitchell Model; 2.2.4 Breather and Soliton Clusters of the Snyder-Mitchell Model; 2.2.5 Complex-Variable-Function Gaussian Breathers and Solitons; 2.2.6 Self-Induced Fractional Fourier Transform; 2.3 Nonlocal Spatial Solitons in Nematic Liquid Crystals; 2.3.1 Voltage-Controllable Characteristic Length of NLC 2.3.2 Nematicons as Strongly Nonlocal Spatial Solitons2.3.3 Nematicon-Nematicon Interactions; 2.4 Conclusion; Appendix 2.A: Proof of the Equivalence of the Snyder-Mitchell Model (Eq. 2.16) and the Strongly Nonlocal Model (Eq. 2.11); Appendix 2.B: Perturbative Solution for a Single Soliton of the NNLSE (Eq. 2.4) in NLC; References; Chapter 3. Theoretical Approaches to Nonlinear Wave Evolution in Higher Dimensions; 3.1 Simple Example of Multiple Scales Analysis; 3.2 Survey of Perturbation Methods for Solitary Waves; 3.3 Linearized Perturbation Theory for Nonlinear Schrödinger Equation 3.4 Modulation Theory: Nonlinear Schrödinger Equation3.5 Radiation Loss; 3.6 Solitary Waves in Nematic Liquid Crystals: Nematicons; 3.7 Radiation Loss for The Nematicon Equations; 3.8 Choice of Trial Function; 3.9 Conclusions; Appendix 3.A: Integrals; Appendix 3.B: Shelf Radius; References; Chapter 4. Soliton Families in Strongly Nonlocal Media; 4.1 Introduction; 4.2 Mathematical Models; 4.2.1 General; 4.2.2 Nonlocality Through Response Function; 4.3 Soliton Families in Strongly Nonlocal Nonlinear Media; 4.3.1 One-Dimensional Hermite-Gaussian Spatial Solitons 4.3.2 Two-Dimensional Laguerre-Gaussian Soliton Families4.3.3 Accessible Solitons in the General Model of Beam Propagation in NLC; 4.3.4 Two-Dimensional Self-Similar Hermite-Gaussian Spatial Solitons; 4.3.5 Two-Dimensional Whittaker Solitons; 4.4 Conclusions; References; Chapter 5. External Control of Nematicon Paths; 5.1 Introduction; 5.2 Basic Equations; 5.3 Nematicon Control with External Light Beams; 5.3.1 Interaction with Circular Spots; 5.3.2 Dielectric Interfaces; 5.3.3 Comments; 5.4 Voltage Control of Nematicon Walk-Off; 5.4.1 Out-of-Plane Steering of Nematicons 5.4.2 In-Plane Steering of Nematicon |
| Record Nr. | UNINA-9910830054803321 |
|
Assanto Gaetano
|
||
| Hoboken, New Jersey : , : Wiley, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
