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1、ComputationalMicroelectronicsEditedbySiegfriedSelberherrTechnicalUniversityViennaVienna,AustriaForfurthervolumes:www.springer.com/series/1263Sung-MinHongAnh-TuanPhamChristophJungemannDeterministicSolversfortheBoltzmannTransportEquationSung-MinHongAnh-TuanPhamDevice
2、LaboratoryInstitutf¨urElektronischeSamsungInformationSystemsAmerica,Inc.BauelementeundSchaltungstechnik75WestPlumeriaDriveTUBraunschweigSanJose,CA95134Postfach3329USA38023Braunschweighi2ska2@gmail.comGermanypham@nst.ing.tu.bs.deChristophJungemannInstitutf¨urTheoret
3、ischeElektrotechnikRWTHAachenUniversityTemplergraben5552056Aachen,Germanychristoph.jungemann@ithe.rwth-aachen.deThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specif-icallythoseoftranslation,reprinting,re-useofillust
4、rations,broadcasting,reproductionbyphotocopyingmachinesorsimilarmeans,andstorageindatabanks.ProductLiability:Thepublishercangivenoguaranteeforalltheinformationcontainedinthisbook.Theuseofregisterednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceo
5、faspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.c2011Springer-Verlag/WienSpringerWienNewYorkisapartofSpringerScience+BusinessMediaspringer.atCover:WMXDesignGmbH,Heidelberg,GermanyTypesetting:SPi,Che
6、nnai,IndiaPrintedonacid-freeandchlorine-freebleachedpaperSPIN80062049With124FiguresLibraryofCongressControlNumber:2011934251ISBN978-3-7091-0777-5e-ISBN978-3-7091-0778-2DOI10.1007/978-3-7091-0778-2SpringerWienNewYorkPrefaceInthisbooktheresearchofthelastdecadebytheau
7、thorsregardingdeterministicsolversfortheBoltzmanntransportequationissummarized.Theworkwasstartedbythethirdauthor,whowasinterestedinelectronicnoiseofsemiconductordevices.Atfirstglancetheuseofadeterministicsolverseemstobestrange,becauseallgroupsworkingatthattimeonnois
8、eindevicessolvedtheBoltzmanntransportequationwiththestochasticMonteCarlomethod,whichinherentlycontainsnoiseandwasregardedasthebestmethodtodoso.Bu
