Monopole-antimonopole annihilation in a nematic liquid crystal

Mathematics

Scientific paper

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Annihilation Reactions, Crystal Defects, Liquid Crystals, Monopoles, Point Defects, Minimax Technique, Phenyls, Relaxation Method (Mathematics), String Theory, Defects In Liquid Crystals, Transitions In Liquid Crystals, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

The process of monopole-antimonopole (hedgehog-antihedgehog) annihilation in nematic liquid crystals is studied theoretically and experimentally. It is shown, using a mini-max argument, that there exists a stable scaling solution to the nematodynamic equations describing this phenomenon, and the solution is found numerically. The process is studied experimentally in the uniaxial nematic, 4-cyano-4'-n-pentylbiphenyl, following a pressure jump or thermal quench. Results confirm, over 3 orders of magnitude in time, the scaling-solution prediction for the pair separation D.

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