{"id":"https://openalex.org/W2034762605","doi":"https://doi.org/10.1155/1998/91675","title":"A New Concept for Solving the Boltzmann TransportEquation in Ultra\u2010fast Transient Situations","display_name":"A New Concept for Solving the Boltzmann TransportEquation in Ultra\u2010fast Transient Situations","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2034762605","doi":"https://doi.org/10.1155/1998/91675","mag":"2034762605"},"language":"en","primary_location":{"id":"doi:10.1155/1998/91675","is_oa":true,"landing_page_url":"https://doi.org/10.1155/1998/91675","pdf_url":"https://downloads.hindawi.com/archive/1998/091675.pdf","source":{"id":"https://openalex.org/S81291924","display_name":"VLSI design","issn_l":"1026-7123","issn":["1026-7123","1065-514X","1563-5171"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VLSI Design","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/archive/1998/091675.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039752940","display_name":"Ming\u2010C. Cheng","orcid":"https://orcid.org/0000-0001-8092-5457"},"institutions":[{"id":"https://openalex.org/I192396691","display_name":"University of New Orleans","ror":"https://ror.org/034mtvk83","country_code":"US","type":"education","lineage":["https://openalex.org/I192396691","https://openalex.org/I2799628689"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ming-C. Cheng","raw_affiliation_strings":["Department of Electrical Engineering, University of New Orleans, New Orleans, Louisiana 70148"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of New Orleans, New Orleans, Louisiana 70148","institution_ids":["https://openalex.org/I192396691"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039752940"],"corresponding_institution_ids":["https://openalex.org/I192396691"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13452305,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"1-4","first_page":"217","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10022","display_name":"Semiconductor Quantum Structures and Devices","score":0.9542999863624573,"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"}},{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.9541000127792358,"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/statistical-physics","display_name":"Statistical physics","score":0.7530300617218018},{"id":"https://openalex.org/keywords/distribution-function","display_name":"Distribution function","score":0.7372993230819702},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.6866239309310913},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6276590824127197},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5672985315322876},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.5415234565734863},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5351439714431763},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5055282115936279},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4972231686115265},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49123138189315796},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.489431768655777},{"id":"https://openalex.org/keywords/boltzmann-constant","display_name":"Boltzmann constant","score":0.4867420196533203},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4442419409751892},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.38259416818618774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21148359775543213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2088424563407898},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.166471928358078},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1097474992275238}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7530300617218018},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.7372993230819702},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.6866239309310913},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6276590824127197},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5672985315322876},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.5415234565734863},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5351439714431763},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5055282115936279},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4972231686115265},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49123138189315796},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.489431768655777},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.4867420196533203},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4442419409751892},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.38259416818618774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21148359775543213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2088424563407898},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.166471928358078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1097474992275238},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/1998/91675","is_oa":true,"landing_page_url":"https://doi.org/10.1155/1998/91675","pdf_url":"https://downloads.hindawi.com/archive/1998/091675.pdf","source":{"id":"https://openalex.org/S81291924","display_name":"VLSI design","issn_l":"1026-7123","issn":["1026-7123","1065-514X","1563-5171"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VLSI Design","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/1998/91675","is_oa":true,"landing_page_url":"https://doi.org/10.1155/1998/91675","pdf_url":"https://downloads.hindawi.com/archive/1998/091675.pdf","source":{"id":"https://openalex.org/S81291924","display_name":"VLSI design","issn_l":"1026-7123","issn":["1026-7123","1065-514X","1563-5171"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VLSI Design","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1666249925","display_name":null,"funder_award_id":"ESC-9409471","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2034762605.pdf","grobid_xml":"https://content.openalex.org/works/W2034762605.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2076303422","https://openalex.org/W4388257265","https://openalex.org/W849161923","https://openalex.org/W4388401275","https://openalex.org/W1579959893","https://openalex.org/W3109848999","https://openalex.org/W3404850","https://openalex.org/W4238782814","https://openalex.org/W4386916460","https://openalex.org/W2283973112"],"abstract_inverted_index":{"A":[0],"concept":[1],"based":[2],"on":[3],"relaxation":[4,29,55],"of":[5,23,38,76,88],"the":[6,18,35,39,53,61,69,77,86,89],"hydrodynamic":[7],"parameters":[8],"is":[9,45,65],"introduced":[10],"to":[11,33,47,67,84,95],"arrive":[12],"at":[13,52],"a":[14],"computational":[15],"model":[16,44],"for":[17,49],"extreme":[19],"non\u2010equilibrium":[20],"distribution":[21,40,71,90],"function":[22,72,91],"carriers":[24],"in":[25,73,81,92,98],"multi\u2010valley":[26],"bandstructure.":[27],"The":[28,42,57],"times":[30],"are":[31],"taken":[32],"describe":[34],"evolution":[36,87],"scale":[37],"function.":[41],"developed":[43],"able":[46],"account":[48],"transport":[50],"phenomena":[51],"momentum":[54],"scale.":[56],"model,":[58],"together":[59],"with":[60],"Monte":[62],"Carlo":[63],"simulation,":[64],"applied":[66],"obtain":[68],"electron":[70],"each":[74],"valley":[75],"lower":[78],"conduction":[79],"band":[80],"GaAs,":[82],"and":[83],"study":[85],"GaAs":[93],"subjected":[94],"rapid":[96],"changes":[97],"field.":[99]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}