{"id":"https://openalex.org/W3080118263","doi":"https://doi.org/10.3390/e22090935","title":"Modification of the Electron Entropy Production in a Plasma","display_name":"Modification of the Electron Entropy Production in a Plasma","publication_year":2020,"publication_date":"2020-08-26","ids":{"openalex":"https://openalex.org/W3080118263","doi":"https://doi.org/10.3390/e22090935","mag":"3080118263","pmid":"https://pubmed.ncbi.nlm.nih.gov/33286704"},"language":"en","primary_location":{"id":"doi:10.3390/e22090935","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22090935","pdf_url":"https://www.mdpi.com/1099-4300/22/9/935/pdf?version=1600689610","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/22/9/935/pdf?version=1600689610","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026960685","display_name":"Juan F. Garc\u00eda-Camacho","orcid":"https://orcid.org/0000-0002-7632-0217"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Juan F. Garc\u00eda-Camacho","raw_affiliation_strings":["Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, U. P. Adolfo L\u00f3pez Mateos, Zacatenco, M\u00e9xico City C. P. 07738, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, U. P. Adolfo L\u00f3pez Mateos, Zacatenco, M\u00e9xico City C. P. 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061698214","display_name":"G. Ares de Parga","orcid":"https://orcid.org/0000-0001-7596-2480"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Gonzalo Ares de Parga","raw_affiliation_strings":["Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, U. P. Adolfo L\u00f3pez Mateos, Zacatenco, M\u00e9xico City C. P. 07738, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-7596-2480","affiliations":[{"raw_affiliation_string":"Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, U. P. Adolfo L\u00f3pez Mateos, Zacatenco, M\u00e9xico City C. P. 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011703221","display_name":"Karen Arango-Reyes","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Karen Arango-Reyes","raw_affiliation_strings":["Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, U. P. Adolfo L\u00f3pez Mateos, Zacatenco, M\u00e9xico City C. P. 07738, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, U. P. Adolfo L\u00f3pez Mateos, Zacatenco, M\u00e9xico City C. P. 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040478305","display_name":"E. Salinas-Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-9723-7981"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Encarnaci\u00f3n Salinas-Hern\u00e1ndez","raw_affiliation_strings":["Escuela Superior de C\u00f3mputo, Instituto Polit\u00e9cnico Nacional, Av. Juan de Dios B\u00e1tiz esq. Av. Miguel Oth\u00f3n de Mendiz\u00e1bal, Col. Lindavista. Del. Gustavo A. Madero., Ciudad de M\u00e9xico C. P. 07738, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Escuela Superior de C\u00f3mputo, Instituto Polit\u00e9cnico Nacional, Av. Juan de Dios B\u00e1tiz esq. Av. Miguel Oth\u00f3n de Mendiz\u00e1bal, Col. Lindavista. Del. Gustavo A. Madero., Ciudad de M\u00e9xico C. P. 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063974538","display_name":"S. Dom\u00ednguez-Hern\u00e1ndez","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Samuel Dom\u00ednguez-Hern\u00e1ndez","raw_affiliation_strings":["Unidad Profesional Interdisciplinaria en Ingenier\u00eda y Tecnolog\u00edas Avanzadas Instituto Polit\u00e9cnico Nacional, Av. Miguel Oth\u00f3n de Mendiz\u00e1bal s/n. Col. La Escalera. U. P. Adolfo L\u00f3pez Mateos, Zacatenco, Del. Gustavo A. Madero, Ciudad de M\u00e9xico C. P. 07738, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unidad Profesional Interdisciplinaria en Ingenier\u00eda y Tecnolog\u00edas Avanzadas Instituto Polit\u00e9cnico Nacional, Av. Miguel Oth\u00f3n de Mendiz\u00e1bal s/n. Col. La Escalera. U. P. Adolfo L\u00f3pez Mateos, Zacatenco, Del. Gustavo A. Madero, Ciudad de M\u00e9xico C. P. 07738, Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5061698214"],"corresponding_institution_ids":["https://openalex.org/I59361560"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1017175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"9","first_page":"935","last_page":"935"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10346","display_name":"Magnetic confinement fusion research","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/entropy-production","display_name":"Entropy production","score":0.7213363647460938},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5833106637001038},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.561920166015625},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.5269568562507629},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5259715914726257},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.47804075479507446},{"id":"https://openalex.org/keywords/boltzmanns-entropy-formula","display_name":"Boltzmann's entropy formula","score":0.4684441387653351},{"id":"https://openalex.org/keywords/h-theorem","display_name":"H-theorem","score":0.4674231708049774},{"id":"https://openalex.org/keywords/debye","display_name":"Debye","score":0.4551936388015747},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.4351280629634857},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39977365732192993},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.36530476808547974},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36135464906692505},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2972683012485504},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.2191590666770935},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.21057981252670288},{"id":"https://openalex.org/keywords/maximum-entropy-thermodynamics","display_name":"Maximum entropy thermodynamics","score":0.20568859577178955}],"concepts":[{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.7213363647460938},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5833106637001038},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.561920166015625},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.5269568562507629},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5259715914726257},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.47804075479507446},{"id":"https://openalex.org/C33932047","wikidata":"https://www.wikidata.org/wiki/Q375553","display_name":"Boltzmann's entropy formula","level":3,"score":0.4684441387653351},{"id":"https://openalex.org/C179434709","wikidata":"https://www.wikidata.org/wiki/Q899853","display_name":"H-theorem","level":5,"score":0.4674231708049774},{"id":"https://openalex.org/C40899509","wikidata":"https://www.wikidata.org/wiki/Q40603","display_name":"Debye","level":2,"score":0.4551936388015747},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.4351280629634857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39977365732192993},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.36530476808547974},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36135464906692505},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2972683012485504},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.2191590666770935},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.21057981252670288},{"id":"https://openalex.org/C49775889","wikidata":"https://www.wikidata.org/wiki/Q6795896","display_name":"Maximum entropy thermodynamics","level":4,"score":0.20568859577178955},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e22090935","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22090935","pdf_url":"https://www.mdpi.com/1099-4300/22/9/935/pdf?version=1600689610","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33286704","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33286704","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:4b4296c1828f4deba0f9738cb3ff9a10","is_oa":true,"landing_page_url":"https://doaj.org/article/4b4296c1828f4deba0f9738cb3ff9a10","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 22, Iss 9, p 935 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/9/935/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e22090935","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 22; Issue 9; Pages: 935","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7597196","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7597196","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e22090935","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22090935","pdf_url":"https://www.mdpi.com/1099-4300/22/9/935/pdf?version=1600689610","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320324217","display_name":"Comisi\u00f3n de Operaci\u00f3n y Fomento de Actividades Acad\u00e9micas, Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3080118263.pdf","grobid_xml":"https://content.openalex.org/works/W3080118263.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1497407749","https://openalex.org/W1974760079","https://openalex.org/W1994841442","https://openalex.org/W1995472567","https://openalex.org/W2012320089","https://openalex.org/W2027360777","https://openalex.org/W2054560312","https://openalex.org/W2064004975","https://openalex.org/W2070981923","https://openalex.org/W2084600505","https://openalex.org/W2086318762","https://openalex.org/W2107314141","https://openalex.org/W2131947874","https://openalex.org/W2217628436","https://openalex.org/W2320077951","https://openalex.org/W2503277289","https://openalex.org/W2748487762","https://openalex.org/W2783559884","https://openalex.org/W3014107726","https://openalex.org/W3102544988","https://openalex.org/W3104618671","https://openalex.org/W3176606732","https://openalex.org/W4244360209"],"related_works":["https://openalex.org/W2003068273","https://openalex.org/W4234031569","https://openalex.org/W2077758187","https://openalex.org/W1549890704","https://openalex.org/W2327752344","https://openalex.org/W190102149","https://openalex.org/W2132096690","https://openalex.org/W2094851748","https://openalex.org/W4386721473","https://openalex.org/W4239511475"],"abstract_inverted_index":{"A":[0],"modified":[1,59,70,88],"expression":[2,85],"of":[3,15,19,22,27,42,72,86,93,101],"the":[4,16,23,30,35,38,50,58,69,75,87,94,102],"electron":[5],"entropy":[6,51,60,89],"production":[7,61,90],"in":[8,91],"a":[9,47],"plasma":[10,48],"is":[11,52,62],"deduced":[12],"by":[13,99],"means":[14,100],"Kelly":[17],"equations":[18,26,41,71],"state":[20,43,73],"instead":[21],"ideal":[24],"gas":[25],"state.":[28],"From":[29],"Debye-H\u00fcckel":[31],"model":[32],"which":[33],"considers":[34],"interaction":[36],"between":[37],"charges,":[39],"such":[40],"are":[44],"derived":[45],"for":[46],"and":[49],"deduced.":[53],"The":[54],"technique":[55],"to":[56],"obtain":[57],"based":[63],"on":[64],"usual":[65],"developments":[66],"but":[67],"including":[68],"giving":[74],"regular":[76],"result":[77],"plus":[78],"some":[79],"extra":[80],"terms.":[81],"We":[82],"derive":[83],"an":[84],"terms":[92],"tensorial":[95,104],"Hermitian":[96],"moments":[97],"hr1\u2026rm(m)":[98],"irreducible":[103],"Hermite":[105],"polynomials.":[106]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
