{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/30688"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/30688","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Current flow in inhomogeneous superconductors","abstract":"\"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.\"","abstract_html":""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."","abstract_has_math":false,"creators":["Johnson, Jared Logan"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Bardeen, John"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-04-19T20:54:19Z","date_published":"2012-04-19T20:54:19Z","updated_at":"2026-07-22T22:25:29Z","subjects":["supercurrent flow","Bogoliubov equations","Superconductor"],"languages":["en"],"rights":["Copyright 1974 Jared Logan Johnson"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["3228381"],"render_values":[{"text":"3228381","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/30688","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Bardeen, John"]},{"key":"dc:creator","label":"Author","values":["Johnson, Jared Logan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-04-19T20:54:19Z","10000-01-01","1974"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["supercurrent flow","Bogoliubov equations","Superconductor"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1974 Jared Logan Johnson"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["3228381","http://hdl.handle.net/2142/30688"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"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"]},{"key":"dc:title","label":"Title","values":["Current flow in inhomogeneous superconductors"]}]}],"canonical_facts":{"dc:contributor":["Bardeen, John"],"dc:creator":["Johnson, Jared Logan"],"dc:date":["2012-04-19T20:54:19Z","10000-01-01","1974"],"dc:description":["\"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"],"dc:identifier":["3228381","http://hdl.handle.net/2142/30688"],"dc:language":["en"],"dc:rights":["Copyright 1974 Jared Logan Johnson"],"dc:subject":["supercurrent flow","Bogoliubov equations","Superconductor"],"dc:title":["Current flow in inhomogeneous superconductors"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:29Z"}