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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…