Mathematics
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvl..67.1570p&link_type=abstract
Physical Review Letters (ISSN 0031-9007), vol. 67, Sept. 16, 1991, p. 1570-1573. Research supported by Alfred P. Sloan Foundatio
Mathematics
38
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.
Pargellis Andrew
Turok Neil
Yurke Bernard
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