{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:04:58Z","timestamp":1740135898170,"version":"3.37.3"},"reference-count":0,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":1826,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-9123208","ECS-9214488","DAAL03-91-G-0123"],"award-info":[{"award-number":["DMS-9123208","ECS-9214488","DAAL03-91-G-0123"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-9123208","ECS-9214488","DAAL03-91-G-0123"],"award-info":[{"award-number":["DMS-9123208","ECS-9214488","DAAL03-91-G-0123"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000183","name":"Army Research Office","doi-asserted-by":"publisher","award":["DMS-9123208","ECS-9214488","DAAL03-91-G-0123"],"award-info":[{"award-number":["DMS-9123208","ECS-9214488","DAAL03-91-G-0123"]}],"id":[{"id":"10.13039\/100000183","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["VLSI Design"],"published-print":{"date-parts":[[1995,1]]},"abstract":"<jats:p>We study simulations of the<jats:italic>n<\/jats:italic><jats:sup>+<\/jats:sup>\u2010<jats:italic>n<\/jats:italic>\u2010<jats:italic>n<\/jats:italic><jats:sup>+<\/jats:sup> diode, by means of higher moment models, derived from the Boltzmann\nequation. We emply such realistic assumptions as energy dependent mobility functions, with doping dependent\nlow field mobility. It is known that a critical role is played in the hydrodynamic model by the heat conduction\nterm. When the standard choice of the Wiedemann\u2010Franz law is made for the conductivity, and constant low field\nmobility values are used, spurious overshoot is observed. Agreement with Monte\u2010Carlo simulation in this regime\nhas in the past been achieved by empirical modification of this law. In this paper, we consider the effect of\nrepresenting the heat flux by the sum of two terms. It is found that the effect is negligible with respect to\novershoot in comparison to that achieved by employing a doping dependent low field mobility. We also compare\nthe hydrodynamic model to recently introduced energy transport models. Finally, in low temperature regimes, we\nstudy the dependence of shock formation on the momentum relaxation time representations and on the heat\nconduction term. The algorithms employed for both models are the essentially nonoscillatory (ENO) shock\ncapturing algorithms.<\/jats:p>","DOI":"10.1155\/1995\/89680","type":"journal-article","created":{"date-parts":[[2007,9,18]],"date-time":"2007-09-18T12:56:46Z","timestamp":1190120206000},"page":"131-143","source":"Crossref","is-referenced-by-count":7,"title":["The Response of the Hydrodynamic Modelto Heat Conduction, Mobility,and Relaxation Expressions"],"prefix":"10.1155","volume":"3","author":[{"given":"Joseph W.","family":"Jerome","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chi-Wang","family":"Shu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[1995,1]]},"container-title":["VLSI Design"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1995\/089680.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/1995\/89680","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T01:23:55Z","timestamp":1723080235000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/1995\/89680"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["10.1155\/1995\/89680"],"URL":"https:\/\/doi.org\/10.1155\/1995\/89680","archive":["Portico"],"relation":{},"ISSN":["1065-514X","1563-5171"],"issn-type":[{"type":"print","value":"1065-514X"},{"type":"electronic","value":"1563-5171"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}