{"id":"https://openalex.org/W1994808547","doi":"https://doi.org/10.1137/070699755","title":"The Stability of the Normal State of Superconductors in the Presence of Electric Currents","display_name":"The Stability of the Normal State of Superconductors in the Presence of Electric Currents","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1994808547","doi":"https://doi.org/10.1137/070699755","mag":"1994808547"},"language":"en","primary_location":{"id":"doi:10.1137/070699755","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070699755","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002675749","display_name":"Yaniv Almog","orcid":"https://orcid.org/0000-0002-5008-0200"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Y. Almog","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002675749"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0649,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.90693231,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"40","issue":"2","first_page":"824","last_page":"850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.7131669521331787},{"id":"https://openalex.org/keywords/perpendicular","display_name":"Perpendicular","score":0.6997349262237549},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.677313506603241},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.6531630158424377},{"id":"https://openalex.org/keywords/electric-current","display_name":"Electric current","score":0.647411048412323},{"id":"https://openalex.org/keywords/superconductivity","display_name":"Superconductivity","score":0.5874612927436829},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5793488025665283},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.5489835739135742},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5256215929985046},{"id":"https://openalex.org/keywords/electric-field","display_name":"Electric field","score":0.48670533299446106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47246718406677246},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44942331314086914},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43047767877578735},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41889816522598267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33567190170288086},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"Quantum electrodynamics","score":0.32286596298217773},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.23570352792739868},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2137540876865387},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10341662168502808}],"concepts":[{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.7131669521331787},{"id":"https://openalex.org/C199631012","wikidata":"https://www.wikidata.org/wiki/Q205034","display_name":"Perpendicular","level":2,"score":0.6997349262237549},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.677313506603241},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.6531630158424377},{"id":"https://openalex.org/C116468062","wikidata":"https://www.wikidata.org/wiki/Q11651","display_name":"Electric current","level":2,"score":0.647411048412323},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.5874612927436829},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5793488025665283},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5489835739135742},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5256215929985046},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.48670533299446106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47246718406677246},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44942331314086914},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43047767877578735},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41889816522598267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33567190170288086},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.32286596298217773},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.23570352792739868},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2137540876865387},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10341662168502808},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/070699755","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070699755","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.741.7487","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.741.7487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1310.1626.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1823412290","https://openalex.org/W1975317867","https://openalex.org/W1977947600","https://openalex.org/W1979515486","https://openalex.org/W1996162089","https://openalex.org/W1998742407","https://openalex.org/W2035390684","https://openalex.org/W2132227877","https://openalex.org/W3126712642","https://openalex.org/W3196019116","https://openalex.org/W4243738351"],"related_works":["https://openalex.org/W1830376836","https://openalex.org/W1967098063","https://openalex.org/W1982169672","https://openalex.org/W2037144863","https://openalex.org/W2053534378","https://openalex.org/W1583448524","https://openalex.org/W2084901168","https://openalex.org/W426658635","https://openalex.org/W1970731365","https://openalex.org/W2337510416"],"abstract_inverted_index":{"The":[0,21],"stability":[1],"of":[2,6,11,33,42],"the":[3,9,17,26,31,40,43,53,59,63,67,80,84,88,100,106,111],"normal":[4,89],"state":[5,90],"superconductors":[7],"in":[8,16,30,83],"presence":[10],"electric":[12],"currents":[13],"is":[14,25,55,73,77,91,102],"studied":[15],"large":[18],"domain":[19],"limit.":[20],"model":[22],"being":[23,47],"used":[24],"time-dependent":[27],"Ginzburg\u2013Landau":[28],"model,":[29],"absence":[32],"an":[34],"applied":[35],"magnetic":[36,45],"field,":[37],"and":[38,108],"with":[39],"effect":[41],"induced":[44],"field":[46],"neglected.":[48],"We":[49,93],"find":[50],"that":[51],"if":[52,62],"current":[54,65,82,101],"nowhere":[56],"perpendicular":[57,74,104],"to":[58,75,105],"boundary,":[60,68],"or":[61],"minimal":[64],"on":[66],"at":[69],"points":[70],"where":[71],"it":[72],"it,":[76],"greater":[78],"than":[79,110],"critical":[81,113],"one-dimensional":[85,112],"case,":[86],"then":[87],"stable.":[92],"also":[94],"prove":[95],"some":[96],"short-time":[97],"instability":[98],"when":[99],"both":[103],"boundary":[107],"smaller":[109],"current.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
