{"id":"https://openalex.org/W4415924541","doi":"https://doi.org/10.3390/e27111138","title":"On the Stochastic Dynamics for the Regularized Kappa-Distributed Plasmas","display_name":"On the Stochastic Dynamics for the Regularized Kappa-Distributed Plasmas","publication_year":2025,"publication_date":"2025-11-05","ids":{"openalex":"https://openalex.org/W4415924541","doi":"https://doi.org/10.3390/e27111138","pmid":"https://pubmed.ncbi.nlm.nih.gov/41294981"},"language":"en","primary_location":{"id":"doi:10.3390/e27111138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27111138","pdf_url":"https://www.mdpi.com/1099-4300/27/11/1138/pdf?version=1762347786","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/1099-4300/27/11/1138/pdf?version=1762347786","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5104652455","display_name":"R. S. Guo","orcid":"https://orcid.org/0000-0002-0972-537X"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ran Guo","raw_affiliation_strings":["Department of Physics, College of Science, Civil Aviation University of China, Tianjin 300300, China"],"raw_orcid":"https://orcid.org/0000-0002-0972-537X","affiliations":[{"raw_affiliation_string":"Department of Physics, College of Science, Civil Aviation University of China, Tianjin 300300, China","institution_ids":["https://openalex.org/I28813325"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5104652455"],"corresponding_institution_ids":["https://openalex.org/I28813325"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19912871,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"11","first_page":"1138","last_page":"1138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.6560999751091003,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.6560999751091003,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.07540000230073929,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.03480000048875809,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/detailed-balance","display_name":"Detailed balance","score":0.5805000066757202},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.5044999718666077},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.48559999465942383},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4341999888420105},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4203000068664551},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4092000126838684},{"id":"https://openalex.org/keywords/stationary-solution","display_name":"Stationary solution","score":0.3905999958515167}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6482999920845032},{"id":"https://openalex.org/C135694725","wikidata":"https://www.wikidata.org/wiki/Q1201087","display_name":"Detailed balance","level":2,"score":0.5805000066757202},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5745999813079834},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.5044999718666077},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.48559999465942383},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4341999888420105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4334999918937683},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.413100004196167},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4092000126838684},{"id":"https://openalex.org/C2988492214","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary solution","level":2,"score":0.3905999958515167},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.36320000886917114},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35499998927116394},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.325300008058548},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.3109999895095825},{"id":"https://openalex.org/C158917313","wikidata":"https://www.wikidata.org/wiki/Q4849964","display_name":"Balance equation","level":4,"score":0.2858000099658966},{"id":"https://openalex.org/C18436578","wikidata":"https://www.wikidata.org/wiki/Q7604346","display_name":"Stationary sequence","level":3,"score":0.28209999203681946},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2732999920845032},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.25760000944137573}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e27111138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27111138","pdf_url":"https://www.mdpi.com/1099-4300/27/11/1138/pdf?version=1762347786","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:41294981","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41294981","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:0fecd818fe3145e5807fdb5b0b16964b","is_oa":true,"landing_page_url":"https://doaj.org/article/0fecd818fe3145e5807fdb5b0b16964b","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 27, Iss 11, p 1138 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e27111138","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27111138","pdf_url":"https://www.mdpi.com/1099-4300/27/11/1138/pdf?version=1762347786","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":[{"id":"https://openalex.org/G5757956015","display_name":null,"funder_award_id":"12105361","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G992570272","display_name":null,"funder_award_id":"12105356","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321565","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415924541.pdf","grobid_xml":"https://content.openalex.org/works/W4415924541.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1537123938","https://openalex.org/W1862918737","https://openalex.org/W1934701601","https://openalex.org/W1966525449","https://openalex.org/W1966896725","https://openalex.org/W1967531932","https://openalex.org/W1970483164","https://openalex.org/W1975068880","https://openalex.org/W1977350151","https://openalex.org/W1979575675","https://openalex.org/W1979593580","https://openalex.org/W1996050228","https://openalex.org/W2011223759","https://openalex.org/W2017109395","https://openalex.org/W2042798901","https://openalex.org/W2049369338","https://openalex.org/W2057453691","https://openalex.org/W2072236769","https://openalex.org/W2086722473","https://openalex.org/W2103494619","https://openalex.org/W2103583796","https://openalex.org/W2109930111","https://openalex.org/W2126507052","https://openalex.org/W2138002711","https://openalex.org/W2170614585","https://openalex.org/W2607119408","https://openalex.org/W2807640218","https://openalex.org/W2810736594","https://openalex.org/W2898928940","https://openalex.org/W2913317556","https://openalex.org/W2920077895","https://openalex.org/W2920969569","https://openalex.org/W2948864400","https://openalex.org/W2964301973","https://openalex.org/W2980087303","https://openalex.org/W3016587786","https://openalex.org/W3103743402","https://openalex.org/W3122025555","https://openalex.org/W3167317745","https://openalex.org/W3169381711","https://openalex.org/W3196041806","https://openalex.org/W4280492544","https://openalex.org/W4380992071","https://openalex.org/W4383557958","https://openalex.org/W4384916374","https://openalex.org/W4385659147","https://openalex.org/W4385960874","https://openalex.org/W4386135033","https://openalex.org/W4386930199","https://openalex.org/W4388167314","https://openalex.org/W4390037323","https://openalex.org/W4393041802","https://openalex.org/W4399584956","https://openalex.org/W4401806582","https://openalex.org/W4402693105","https://openalex.org/W4408889690","https://openalex.org/W4408923716"],"related_works":[],"abstract_inverted_index":{"The":[0,12],"generalized":[1,54],"fluctuation-dissipation":[2,55],"relations":[3],"that":[4,61],"produce":[5],"the":[6,22,28,38,43,47,53,62,70],"regularized":[7,39],"Kappa":[8,40],"distributions":[9,41],"are":[10,31],"studied.":[11],"two-variable":[13],"Fokker-Planck":[14,35],"equation,":[15],"as":[16,18,42],"well":[17],"its":[19],"reductions":[20],"in":[21,27,74],"absence":[23],"of":[24,64],"potential":[25],"and":[26,49],"overdamped":[29],"limit,":[30],"considered.":[32],"All":[33],"these":[34],"equations":[36],"have":[37],"stationary":[44,71],"solutions":[45,72],"if":[46],"friction":[48],"diffusion":[50],"coefficients":[51],"satisfy":[52],"relations.":[56],"In":[57],"addition,":[58],"we":[59],"prove":[60],"principle":[63],"detailed":[65],"balance":[66],"holds":[67],"for":[68],"all":[69],"derived":[73],"this":[75],"work.":[76]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-11-05T00:00:00"}