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Dissertation Abstracts International, Volume Gifford, Stephen Andrew 2015-09-25T20:03:04Z 2015-09-25T20:03:04Z 10000-01-01 2007 2007 "We approach the static elasticity of a vortex lattice using the elastohydrodyamic approach. We derive the elastic Green's function for the vortex lattice, and connect it to the lattice distortion in an inhomogeneous condensate. We find that the longitudinal elastic response of a vortex lattice is screened by the effect of the ""global"" fluid velocity, but the shear response remains the same as conventional elastic systems. Applying the theory of dislocation-mediated melting to the vortex lattice, we find that the lattice melts at a temperature depending only on the shear modulus. Finally, we apply the theory of melting to trapped rapidly rotating BECs." Made available in DSpace on 2015-09-25T20:03:04Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3301137.pdf: 2566907 bytes, checksum: cf385d1e138b41338631fc0b06af0e74 (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 81842 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 82 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/80560 (MiAaPQ)AAI3301137 eng Physics, Atomic Vortex Lattices in Rapidly Rotating Bose -Einstein Condensates: Modes, Elasticity, and Melting text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.