Fluctuational Effects in the Dynamics of Liquid Crystals

1 Nematic Liquid Crystals.- 1.1 Thermodynamics of Nematics.- 1.2 The Poisson Brackets Method.- 1.3 Equations of Hydrodynamics for Nematics.- 1.4 Eigenmode Spectrum of Nematics.- 2 Smectic Liquid Crystals.- 2.1 Static Properties of Smectics.- 2.2 Equations of Hydrodynamics for Smectics.- 2.3 Linear Eigenmode Spectrum of Smectics.- 3 Fluctuation Effects in Smectic Liquid Crystals.- 3.1 Static Fluctuations.- 3.2 Diagram Technique for Dynamic Effects.- 3.3 Effective Action for Smectics.- 3.4 Renormalization of the Effective Action.- 3.5 Fluctuation Corrections to the Spectrum.- 4 Columnar Phases of Liquid Crystals.- 4.1 Static Properties of Columnar Phases.- 4.2 Hydrodynamic Equations for Columnar Phases.- 4.2 Linear Spectrum of Columnar Phases.- 4.4 Fluctuation Effects in Columnar Phases.- 5 Chiral Liquid Crystals.- 5.1 Peculiarities of Static Properties of Cholesterics.- 5.2 Macroscopic Dynamics of Cholesterics.- 5.3 Static Properties of Chiral Smectics.- 5.4 Dynamics of Chiral Smectics.- 5.5 Dynamics of Compensated Cholesterics.- 6 Freely Suspended Films.- 6.1 Static Properties of the Films.- 6.2 Dynamical Equations of the Films.- 6.3 Dynamical Fluctuational Effects of the Films.- 6.4 Spectrum of Eigenmodes of the Films.- 7 Langmuir Films and Membranes.- 7.1 Thermodynamics of Langmuir Films.- 7.2 Dynamic Equations of Langmuir Films.- 7.3 The Spectrum of Surface Modes.- 7.4 Membranes.- Conclusion.- References.