{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,23]],"date-time":"2026-08-23T17:52:02Z","timestamp":1787507522466,"version":"build-2736575974"},"reference-count":0,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":18,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["VLSI Design"],"published-print":{"date-parts":[[2000,1]]},"abstract":"<jats:p>A \u201csmooth\u201d quantum hydrodynamic (QHD) model for semiconductor devices is\nderived by a Chapman\u2010Enskog expansion of the Wigner\u2010Boltzmann equation which can\nhandle in a mathematically rigorous way the discontinuities in the classical potential\nenergy which occur at heterojunction barriers in quantum semiconductor devices. A\ndispersive quantum contribution to the heat flux term in the QHD model is introduced.<\/jats:p>","DOI":"10.1155\/2000\/91289","type":"journal-article","created":{"date-parts":[[2007,9,18]],"date-time":"2007-09-18T08:58:37Z","timestamp":1190105917000},"page":"415-435","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["The Chapman\u2010Enskog Expansion and the QuantumHydrodynamic Model for Semiconductor Devices"],"prefix":"10.1155","volume":"10","author":[{"given":"Carl L.","family":"Gardner","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christian","family":"Ringhofer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[1999,12,14]]},"container-title":["VLSI Design"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2000\/091289.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2000\/91289","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T09:21:33Z","timestamp":1723108893000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2000\/91289"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,12,14]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2000,1]]}},"alternative-id":["10.1155\/2000\/91289"],"URL":"https:\/\/doi.org\/10.1155\/2000\/91289","archive":["Portico"],"relation":{},"ISSN":["1065-514X","1563-5171"],"issn-type":[{"value":"1065-514X","type":"print"},{"value":"1563-5171","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,12,14]]},"assertion":[{"value":"1998-12-16","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"1999-12-14","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"1999-12-14","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}