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en Copyright 1974 Jared Logan Johnson supercurrent flow Bogoliubov equations Superconductor Current flow in inhomogeneous superconductors Dissertation / Thesis text Bardeen, John Johnson, Jared Logan 2012-04-19T20:54:19Z 2012-04-19T20:54:19Z 10000-01-01 1974 "The change of normal current flow into supercurrent flow is examined in a number of problems in which the pair potential of the superconductor can vary spatially. We examine approximate solutions to the Bogoliubov equations in the limits that the pair potential, ~('f), varies quickly or slowly compared to a coherence length, ~ (T), to see how well such solutions conserve charge c flux. These solutions are then used to compute the linear current response of a superconductor in these two limits. Scatter'ing is included using the Mattis-Bardeen scattering technique. Using the step-like pair potential the linear current response of a superconducting-normal (SN) junction as well as NSN, SNS, and layered structures SNSN... as occur with a static electric field applied normal to the boundaries is calculated. The results for the self-consistent currents and fields are found to be the same in certain limits as those found by other investigators who used semiphenomenological approaches. The linear current response of a superconductor with a pair potential which varies slowly over a coherence length to an applied alternating electric field is also examined. This result should be useful in describing the current response of very wide superconducting-normal-superconducting (SNS) junctions in which a very small pair potential exists in the ""normal"" region at very low temperatures in the millidegree range." Submitted by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-04-19T20:54:19Z No. of bitstreams: 1 1974_johnson.pdf: 5332640 bytes, checksum: aa9de36dc07bb1ef2abdfec698fef2c0 (MD5) Made available in DSpace on 2012-04-19T20:54:19Z (GMT). No. of bitstreams: 1 1974_johnson.pdf: 5332640 bytes, checksum: aa9de36dc07bb1ef2abdfec698fef2c0 (MD5) Previous issue date: 1974 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-04-19T20:54:19Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:32:59-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: dissertation/thesis dissertation/thesis U of I Only 3228381 http://hdl.handle.net/2142/30688 Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.