{"id":"https://openalex.org/W4404523382","doi":"https://doi.org/10.3390/axioms13110790","title":"Cubic-like Features of I\u2013V Relations via Classical Poisson\u2013Nernst\u2013Planck Systems Under Relaxed Electroneutrality Boundary Conditions","display_name":"Cubic-like Features of I\u2013V Relations via Classical Poisson\u2013Nernst\u2013Planck Systems Under Relaxed Electroneutrality Boundary Conditions","publication_year":2024,"publication_date":"2024-11-15","ids":{"openalex":"https://openalex.org/W4404523382","doi":"https://doi.org/10.3390/axioms13110790"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13110790","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110790","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms13110790","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100728929","display_name":"Hong Li","orcid":"https://orcid.org/0000-0002-8149-9047"},"institutions":[{"id":"https://openalex.org/I134626604","display_name":"Jiujiang University","ror":"https://ror.org/0066vpg85","country_code":"CN","type":"education","lineage":["https://openalex.org/I134626604"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Li","raw_affiliation_strings":["Department of Mathematics, Jiujiang University, Jiujiang 332005, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jiujiang University, Jiujiang 332005, China","institution_ids":["https://openalex.org/I134626604"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113164168","display_name":"Zhongxian Li","orcid":null},"institutions":[{"id":"https://openalex.org/I207123951","display_name":"New Mexico Institute of Mining and Technology","ror":"https://ror.org/005p9kw61","country_code":"US","type":"education","lineage":["https://openalex.org/I207123951"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhantao Li","raw_affiliation_strings":["Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA","institution_ids":["https://openalex.org/I207123951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050622018","display_name":"Chaohong Pan","orcid":"https://orcid.org/0000-0003-2964-7249"},"institutions":[{"id":"https://openalex.org/I916048824","display_name":"Hunan First Normal University","ror":"https://ror.org/00s9d1a36","country_code":"CN","type":"education","lineage":["https://openalex.org/I916048824"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chaohong Pan","raw_affiliation_strings":["School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, China","institution_ids":["https://openalex.org/I916048824"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112579016","display_name":"Jie Song","orcid":"https://orcid.org/0009-0007-0282-9962"},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jie Song","raw_affiliation_strings":["School of Mathematics and Statistics, Linyi University, Linyi 276000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Linyi University, Linyi 276000, China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040653613","display_name":"Mingji Zhang","orcid":"https://orcid.org/0000-0002-8249-4758"},"institutions":[{"id":"https://openalex.org/I207123951","display_name":"New Mexico Institute of Mining and Technology","ror":"https://ror.org/005p9kw61","country_code":"US","type":"education","lineage":["https://openalex.org/I207123951"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mingji Zhang","raw_affiliation_strings":["Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA","institution_ids":["https://openalex.org/I207123951"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5050622018","https://openalex.org/A5112579016"],"corresponding_institution_ids":["https://openalex.org/I15823474","https://openalex.org/I916048824"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.7858,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.85245902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"13","issue":"11","first_page":"790","last_page":"790"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9987999796867371,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9987999796867371,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9984999895095825,"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/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9976000189781189,"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/nernst-equation","display_name":"Nernst equation","score":0.8747299909591675},{"id":"https://openalex.org/keywords/planck","display_name":"Planck","score":0.8211692571640015},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.591645359992981},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5806218981742859},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.524820864200592},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5136467814445496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2564866542816162},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24576959013938904},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18977275490760803},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07352229952812195},{"id":"https://openalex.org/keywords/electrode","display_name":"Electrode","score":0.05053326487541199}],"concepts":[{"id":"https://openalex.org/C184501600","wikidata":"https://www.wikidata.org/wiki/Q751124","display_name":"Nernst equation","level":3,"score":0.8747299909591675},{"id":"https://openalex.org/C166126730","wikidata":"https://www.wikidata.org/wiki/Q725309","display_name":"Planck","level":2,"score":0.8211692571640015},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.591645359992981},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5806218981742859},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.524820864200592},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5136467814445496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2564866542816162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24576959013938904},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18977275490760803},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07352229952812195},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.05053326487541199}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13110790","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110790","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f5d78682f7bf444bbc9b9673ce2b8878","is_oa":true,"landing_page_url":"https://doaj.org/article/f5d78682f7bf444bbc9b9673ce2b8878","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 11, p 790 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13110790","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110790","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W615417287","https://openalex.org/W1965195104","https://openalex.org/W1967543024","https://openalex.org/W1971275888","https://openalex.org/W1975219250","https://openalex.org/W1980001934","https://openalex.org/W1988689739","https://openalex.org/W1989521488","https://openalex.org/W1992971218","https://openalex.org/W1997029800","https://openalex.org/W2002597939","https://openalex.org/W2011372139","https://openalex.org/W2033102303","https://openalex.org/W2037815035","https://openalex.org/W2047841961","https://openalex.org/W2057876304","https://openalex.org/W2062726261","https://openalex.org/W2068320838","https://openalex.org/W2071053043","https://openalex.org/W2098494477","https://openalex.org/W2102667231","https://openalex.org/W2112769274","https://openalex.org/W2125407321","https://openalex.org/W2125758832","https://openalex.org/W2131194825","https://openalex.org/W2154030203","https://openalex.org/W2154711615","https://openalex.org/W2157649093","https://openalex.org/W2167152334","https://openalex.org/W2168869782","https://openalex.org/W2169530852","https://openalex.org/W2285205059","https://openalex.org/W2325859011","https://openalex.org/W2333337922","https://openalex.org/W2334453068","https://openalex.org/W2460397489","https://openalex.org/W2487775498","https://openalex.org/W2567078728","https://openalex.org/W2582702309","https://openalex.org/W2586108260","https://openalex.org/W2895015914","https://openalex.org/W2895281187","https://openalex.org/W2924885892","https://openalex.org/W2939570126","https://openalex.org/W2977233203","https://openalex.org/W3008014436","https://openalex.org/W3011062468","https://openalex.org/W3013660923","https://openalex.org/W3028220928","https://openalex.org/W3037691464","https://openalex.org/W3081444561","https://openalex.org/W3082720553","https://openalex.org/W3104973902","https://openalex.org/W3133356548","https://openalex.org/W3157351576","https://openalex.org/W3159430506","https://openalex.org/W3176342767","https://openalex.org/W3177153034","https://openalex.org/W3210498038","https://openalex.org/W4205186169","https://openalex.org/W4206939972","https://openalex.org/W4246164144","https://openalex.org/W4249698154","https://openalex.org/W4285721157","https://openalex.org/W4298140101","https://openalex.org/W4398768498","https://openalex.org/W6744700133","https://openalex.org/W6760507589","https://openalex.org/W6839642585","https://openalex.org/W7011278425"],"related_works":["https://openalex.org/W2361220574","https://openalex.org/W4376632744","https://openalex.org/W4389084611","https://openalex.org/W1488659888","https://openalex.org/W4255300378","https://openalex.org/W2410596737","https://openalex.org/W146245963","https://openalex.org/W2952345955","https://openalex.org/W3031532544","https://openalex.org/W2133690079"],"abstract_inverted_index":{"We":[0],"focus":[1],"on":[2,103],"higher-order":[3],"matched":[4],"asymptotic":[5],"expansions":[6],"of":[7,49,77,98,108,111,121,134,137],"a":[8,91,96,131],"one-dimensional":[9],"classical":[10],"Poisson\u2013Nernst\u2013Planck":[11],"system":[12],"for":[13],"ionic":[14,122,138],"flow":[15],"through":[16,140],"membrane":[17,141],"channels":[18],"with":[19,95],"two":[20,44],"oppositely":[21],"charged":[22],"ion":[23,50],"species":[24],"under":[25,124],"relaxed":[26],"electroneutrality":[27,113],"boundary":[28,105,114],"conditions.":[29,115],"Of":[30],"particular":[31],"interest":[32],"are":[33,39],"the":[34,43,60,68,74,78,80,104,109,112,135],"current\u2013voltage":[35],"(I\u2013V)":[36],"relations,":[37],"which":[38,100],"used":[40],"to":[41,59],"characterize":[42],"most":[45],"relevant":[46],"biological":[47],"properties":[48],"channels\u2014permeation":[51],"and":[52,71,129],"selectivity\u2014experimentally.":[53],"Our":[54],"result":[55],"shows":[56],"that,":[57],"up":[58],"second":[61],"order":[62],"in":[63],"\u03b5=\u03bb/r,":[64],"where":[65],"\u03bb":[66],"is":[67,73],"Debye":[69],"length":[70],"r":[72],"characteristic":[75],"radius":[76],"channel,":[79],"cubic":[81],"I\u2013V":[82],"relation":[83],"has":[84],"either":[85],"three":[86],"distinct":[87],"real":[88,93],"roots":[89],"or":[90],"unique":[92],"root":[94],"multiplicity":[97],"three,":[99],"sensitively":[101],"depends":[102],"layers":[106],"because":[107],"relaxation":[110],"This":[116],"indicates":[117],"more":[118,126],"rich":[119],"dynamics":[120],"flows":[123,139],"our":[125],"realistic":[127],"setups":[128],"provides":[130],"better":[132],"understanding":[133],"mechanism":[136],"channels.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2024-11-20T00:00:00"}
