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Soft Condensed Matter Physics
T. C. Lubensky
Soft condensed matter physics is the study of materials, such as fluids, liquid crystals, polymers, colloids, and emulsions, that are ``soft" to the touch. This article will review…
Multiple light scattering in nematic liquid crystals
Holger Stark, Tom C. Lubensky
We present a rigorous treatment of the diffusion approximation for multiple light scattering in anisotropic random media, and apply it to director fluctuations in a nematic liquid…
n-atic Order and Continuous Shape Changes of Deformable Surfaces of Genus Zero
Jeong-Man Park, T. C. Lubensky, F. C. MacKintosh
We consider in mean-field theory the continuous development below a second-order phase transition of -atic tangent plane order on a deformable surface of genus zero with order p…
Chiral Lyotropic Liquid Crystals: TGB Phases and Helicoidal Structures
Randall D. Kamien, T. C. Lubensky
The molecules in lyotropic membranes are typically aligned with the surface normal. When these molecules are chiral, there is a tendency for the molecular direction to twist. These…
Interactions between Membrane Inclusions on Fluctuating Membranes
Jeong-Man Park, T. C. Lubensky
We model membrane proteins as anisotropic objects characterized by symmetric-traceless tensors and determine the coupling between these order-parameters and membrane curvature. We…
Chiral Fluctuations and Structures
T. C. Lubensky, Randall D. Kamien, Holger Stark
Chiral molecules form a number of non-chiral structures, the simplest being an isotropic fluid phase. In a mesophase of achiral molecules the fluctuations will on average be achira…
Disclination Asymmetry in Deformable Hexatic Membranes and the Kosterlitz-Thouless Transitions
Jeong-Man Park, T. C. Lubensky
A disclination in a hexatic membrane favors the development of Gaussian curvature localized near its core. The resulting global structure of the membrane has mean curvature, which…
Sine-Gordon Field Theory for the Kosterlitz-Thouless Transitions on Fluctuating Membranes
Jeong-Man Park, T. C. Lubensky
In the preceding paper, we derived Coulomb-gas and sine-Gordon Hamiltonians to describe the Kosterlitz-Thouless transition on a fluctuating surface. These Hamiltonians contain coup…
Topological Defects on Fluctuating Surfaces: General Properties and the Kosterlitz-Thouless Transition
Jeong-Man Park, T. C. Lubensky
We investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it. The C…
Kosterlitz-Thouless Transitions on Fluctuating Surfaces
Jeong-Man Park, T. C. Lubensky
We investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it. In th…
Temporal Fluctuations in Nematic Liquid Crystals
Gu Yan, Tom C. Lubensky
We use a set of simplified non-linear Langevin equations to study the hydrodynamic excitations in a nematic liquid crystal. We calculate the one-loop self-energy corrections in the…
Measure Factors, Tension, and Correlations of Fluid Membranes
W. Cai, T. C. Lubensky, P. Nelson +1
We study two geometrical factors needed for the correct construction of statistical ensembles of surfaces. Such ensembles appear in the study of fluid bilayer membranes, though our…
Twisted Line Liquids
Randall D. Kamien, T. C. Lubensky
We propose a model of directed lines where the average direction has the nature of a cholesteric liquid crystal. This model, for instance, would describe the liquid of screw disloc…