{"title":"On the validity of the Fourier law in a Resonant Tunneling Diode","authors":"Orazio Muscato","doi":"10.1007/s11587-023-00837-2","DOIUrl":null,"url":null,"abstract":"<p>By using Monte Carlo simulations of the Wigner–Boltzmann transport equation, the validity of a smooth quantum hydrodynamic model has been investigated in a GaAs Resonant Tunneling Diode. The common approximation of the heat flux by Fourier’s law is shown to differ substantially from the actual heat flux.\n</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"30 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ricerche di Matematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11587-023-00837-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
By using Monte Carlo simulations of the Wigner–Boltzmann transport equation, the validity of a smooth quantum hydrodynamic model has been investigated in a GaAs Resonant Tunneling Diode. The common approximation of the heat flux by Fourier’s law is shown to differ substantially from the actual heat flux.
期刊介绍：
“Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.
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