{"id":"https://openalex.org/W7135229000","doi":"https://doi.org/10.3390/e28030325","title":"Collision Integrals for Transport in Plasmas: The Phenomenological Approach","display_name":"Collision Integrals for Transport in Plasmas: The Phenomenological Approach","publication_year":2026,"publication_date":"2026-03-13","ids":{"openalex":"https://openalex.org/W7135229000","doi":"https://doi.org/10.3390/e28030325","pmid":"https://pubmed.ncbi.nlm.nih.gov/41899977"},"language":"en","primary_location":{"id":"doi:10.3390/e28030325","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28030325","pdf_url":"https://www.mdpi.com/1099-4300/28/3/325/pdf","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/1099-4300/28/3/325/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075821338","display_name":"Fernando Pirani","orcid":"https://orcid.org/0000-0003-3110-6521"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fernando Pirani","raw_affiliation_strings":["Dipartimento di Chimica, Biologia e Biotecnologie, Universit\u00e0 di Perugia, 06123 Perugia, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3110-6521","affiliations":[{"raw_affiliation_string":"Dipartimento di Chimica, Biologia e Biotecnologie, Universit\u00e0 di Perugia, 06123 Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088678895","display_name":"Massimiliano Bartolomei","orcid":"https://orcid.org/0000-0001-8643-4106"},"institutions":[{"id":"https://openalex.org/I4210095385","display_name":"Instituto de F\u00edsica Fundamental","ror":"https://ror.org/009wseg80","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095385"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Massimiliano Bartolomei","raw_affiliation_strings":["Instituto de F\u00edsica Fundamental\u2014CSIC, 28006 Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0001-8643-4106","affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica Fundamental\u2014CSIC, 28006 Madrid, Spain","institution_ids":["https://openalex.org/I4210095385"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005785960","display_name":"Gianpiero Colonna","orcid":"https://orcid.org/0000-0002-4993-4838"},"institutions":[{"id":"https://openalex.org/I4210154486","display_name":"Institute for the Science and Technology of Plasmas","ror":"https://ror.org/047rmsn51","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210154486","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianpiero Colonna","raw_affiliation_strings":["CNR ISTP Bari Section, 70126 Bari, Italy"],"raw_orcid":"https://orcid.org/0000-0002-4993-4838","affiliations":[{"raw_affiliation_string":"CNR ISTP Bari Section, 70126 Bari, Italy","institution_ids":["https://openalex.org/I4210154486","https://openalex.org/I5561750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018646661","display_name":"Annarita Laricchiuta","orcid":"https://orcid.org/0000-0002-6752-7419"},"institutions":[{"id":"https://openalex.org/I4210154486","display_name":"Institute for the Science and Technology of Plasmas","ror":"https://ror.org/047rmsn51","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210154486","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Annarita Laricchiuta","raw_affiliation_strings":["CNR ISTP Bari Section, 70126 Bari, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6752-7419","affiliations":[{"raw_affiliation_string":"CNR ISTP Bari Section, 70126 Bari, Italy","institution_ids":["https://openalex.org/I4210154486","https://openalex.org/I5561750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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":0.40947221,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"3","first_page":"325","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12077","display_name":"Vacuum and Plasma Arcs","score":0.2712000012397766,"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"}},"topics":[{"id":"https://openalex.org/T12077","display_name":"Vacuum and Plasma Arcs","score":0.2712000012397766,"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/T10781","display_name":"Plasma Diagnostics and Applications","score":0.23510000109672546,"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/T11603","display_name":"Dust and Plasma Wave Phenomena","score":0.08860000222921371,"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/collision","display_name":"Collision","score":0.8683000206947327},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6603000164031982},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5267999768257141},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.35350000858306885},{"id":"https://openalex.org/keywords/transport-theory","display_name":"Transport theory","score":0.29980000853538513},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.289000004529953}],"concepts":[{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.8683000206947327},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6603000164031982},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5751000046730042},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5267999768257141},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48019999265670776},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3720000088214874},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.35350000858306885},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.33219999074935913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30489999055862427},{"id":"https://openalex.org/C2988881298","wikidata":"https://www.wikidata.org/wiki/Q16884885","display_name":"Transport theory","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2971000075340271},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.289000004529953},{"id":"https://openalex.org/C2989209122","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Mass transport","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.2513999938964844},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e28030325","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28030325","pdf_url":"https://www.mdpi.com/1099-4300/28/3/325/pdf","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:41899977","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41899977","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:digital.csic.es:10261/426961","is_oa":false,"landing_page_url":"http://hdl.handle.net/10261/426961","pdf_url":null,"source":{"id":"https://openalex.org/S4306401639","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:2b2c35cfd8a747e6882f7cc44b2485c6","is_oa":true,"landing_page_url":"https://doaj.org/article/2b2c35cfd8a747e6882f7cc44b2485c6","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 28, Iss 3, p 325 (2026)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:13025150","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC13025150/","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/e28030325","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28030325","pdf_url":"https://www.mdpi.com/1099-4300/28/3/325/pdf","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7135229000.pdf","grobid_xml":"https://content.openalex.org/works/W7135229000.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,33,67],"accuracy":[1],"of":[2,9,12,49,62,69,82,86],"transport":[3,50],"properties,":[4],"essential":[5],"to":[6,39],"the":[7,19,23,27,31,47,63,70,80,83,87],"characterization":[8],"technological":[10],"plasmas":[11],"interest":[13],"in":[14,30,54],"many":[15],"fields,":[16],"relies":[17],"on":[18,90],"fundamental":[20],"information":[21],"about":[22],"collision":[24,56,91],"integrals":[25,92],"for":[26,46,93],"binary":[28],"interactions":[29,94],"system.":[32],"phenomenological":[34],"approach":[35],"has":[36],"been":[37],"demonstrated":[38],"provide":[40],"a":[41,59],"very":[42],"useful":[43],"theoretical":[44],"framework":[45],"derivation":[48],"cross":[51],"sections,":[52],"and":[53,72,79],"turn":[55],"integrals,":[57],"by":[58],"physics-sound":[60],"description":[61],"chemical":[64],"species":[65,97],"interaction.":[66],"features":[68],"method":[71],"its":[73],"validation":[74],"are":[75],"here":[76],"briefly":[77],"reviewed":[78],"impact":[81],"recent":[84],"generalization":[85],"correlation":[88],"formulas":[89],"involving":[95],"Si":[96],"is":[98],"estimated.":[99]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-14T00:00:00"}
