{"id":"https://openalex.org/W1799582000","doi":"https://doi.org/10.1515/hjic-2016-0001","title":"Mass Action and Conservation of Current","display_name":"Mass Action and Conservation of Current","publication_year":2016,"publication_date":"2016-10-01","ids":{"openalex":"https://openalex.org/W1799582000","doi":"https://doi.org/10.1515/hjic-2016-0001","mag":"1799582000"},"language":"en","primary_location":{"id":"doi:10.1515/hjic-2016-0001","doi":"https://doi.org/10.1515/hjic-2016-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/hjic-2016-0001","pdf_url":"https://doi.org/10.1515/hjic-2016-0001","source":{"id":"https://openalex.org/S112891560","display_name":"Hungarian Journal of Industry and Chemistry","issn_l":"0133-0276","issn":["0133-0276","2450-5102"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310315422","host_organization_name":"University of Pannonia","host_organization_lineage":["https://openalex.org/P4310315422"],"host_organization_lineage_names":["University of Pannonia"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hungarian Journal of Industry and Chemistry","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1515/hjic-2016-0001","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091003144","display_name":"Bob Eisenberg","orcid":"https://orcid.org/0000-0002-4860-5434","observed_orcids":["https://orcid.org/0000-0002-4860-5434"]},"institutions":[{"id":"https://openalex.org/I1285301757","display_name":"Rush University Medical Center","ror":"https://ror.org/01j7c0b24","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1285301757"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert S. Eisenberg","raw_affiliation_strings":["Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago IL 60612, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago IL 60612, USA","institution_ids":["https://openalex.org/I1285301757"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091003144"],"corresponding_institution_ids":["https://openalex.org/I1285301757"],"apc_list":null,"apc_paid":null,"fwci":1.5276,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.8131686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"44","issue":"1","first_page":"1","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.2655999958515167,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.2655999958515167,"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/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.12720000743865967,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11582","display_name":"Nanopore and Nanochannel Transport Studies","score":0.06949999928474426,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/law-of-mass-action","display_name":"mass action law","score":0.9679999947547913},{"id":"https://openalex.org/keywords/current-conservation","display_name":"current conservation","score":0.7110000252723694},{"id":"https://openalex.org/keywords/maxwell-s-equations","display_name":"Maxwell's equations","score":0.8460000157356262},{"id":"https://openalex.org/keywords/nonequilibrium-chemistry","display_name":"non-equilibrium chemistry","score":0.6480000019073486},{"id":"https://openalex.org/keywords/variational-model","display_name":"variational model","score":0.8119999766349792},{"id":"https://openalex.org/keywords/rate-constants","display_name":"rate constants","score":0.7300000190734863}],"concepts":[{"id":"https://openalex.org/C36543247","wikidata":"https://www.wikidata.org/wiki/Q17103208","display_name":"Mass action law","level":2,"score":0.6789683103561401},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.6711370348930359},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.6437994241714478},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.6150212287902832},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6015834808349609},{"id":"https://openalex.org/C67425144","wikidata":"https://www.wikidata.org/wiki/Q899494","display_name":"Law of mass action","level":2,"score":0.5064257383346558},{"id":"https://openalex.org/C52957995","wikidata":"https://www.wikidata.org/wiki/Q11382","display_name":"Conservation of energy","level":2,"score":0.5063844919204712},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.49880146980285645},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4964454770088196},{"id":"https://openalex.org/C194583477","wikidata":"https://www.wikidata.org/wiki/Q408891","display_name":"Physical law","level":2,"score":0.4737606644630432},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.46272626519203186},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.45324957370758057},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4376683533191681},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3445946276187897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3305923342704773},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2857148051261902},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.28283047676086426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2126190960407257},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.14277949929237366},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0893373191356659},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1515/hjic-2016-0001","doi":"https://doi.org/10.1515/hjic-2016-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/hjic-2016-0001","pdf_url":"https://doi.org/10.1515/hjic-2016-0001","source":{"id":"https://openalex.org/S112891560","display_name":"Hungarian Journal of Industry and Chemistry","issn_l":"0133-0276","issn":["0133-0276","2450-5102"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310315422","host_organization_name":"University of Pannonia","host_organization_lineage":["https://openalex.org/P4310315422"],"host_organization_lineage_names":["University of Pannonia"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hungarian Journal of Industry and Chemistry","raw_type":"journal-article"},{"id":"pmh:oai:hjic.mk.uni-pannon.hu:article/683","doi":null,"is_oa":true,"landing_page_url":"https://hjic.mk.uni-pannon.hu/index.php/index/article/view/hjic-2016-0001","pdf_url":null,"source":{"id":"https://openalex.org/S112891560","display_name":"Hungarian Journal of Industry and Chemistry","issn_l":"0133-0276","issn":["0133-0276","2450-5102"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310315422","host_organization_name":"University of Pannonia","host_organization_lineage":["https://openalex.org/P4310315422"],"host_organization_lineage_names":["University of Pannonia"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"0133-0276","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1502.07251","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1502.07251","pdf_url":"https://arxiv.org/pdf/1502.07251","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2950791549","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1502.07251.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:81101a325ca045b6888f17bb0cf816ca","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/81101a325ca045b6888f17bb0cf816ca","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,"listed_in":[],"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":"Hungarian Journal of Industry and Chemistry, Vol 44, Iss 1, Pp 1-28 (2016)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1502.07251","doi":"https://doi.org/10.48550/arxiv.1502.07251","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1502.07251","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1515/hjic-2016-0001","doi":"https://doi.org/10.1515/hjic-2016-0001","is_oa":true,"landing_page_url":"https://doi.org/10.1515/hjic-2016-0001","pdf_url":"https://doi.org/10.1515/hjic-2016-0001","source":{"id":"https://openalex.org/S112891560","display_name":"Hungarian Journal of Industry and Chemistry","issn_l":"0133-0276","issn":["0133-0276","2450-5102"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310315422","host_organization_name":"University of Pannonia","host_organization_lineage":["https://openalex.org/P4310315422"],"host_organization_lineage_names":["University of Pannonia"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hungarian Journal of Industry and Chemistry","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1799582000.pdf","grobid_xml":"https://content.openalex.org/works/W1799582000.grobid-xml"},"referenced_works_count":197,"referenced_works":["https://openalex.org/W24136597","https://openalex.org/W37951807","https://openalex.org/W161730124","https://openalex.org/W186561132","https://openalex.org/W217233886","https://openalex.org/W248345210","https://openalex.org/W291409302","https://openalex.org/W561686463","https://openalex.org/W592485236","https://openalex.org/W609191808","https://openalex.org/W617071296","https://openalex.org/W650122443","https://openalex.org/W756394194","https://openalex.org/W758339781","https://openalex.org/W1481089457","https://openalex.org/W1494585671","https://openalex.org/W1497576400","https://openalex.org/W1499089048","https://openalex.org/W1499460065","https://openalex.org/W1505088694","https://openalex.org/W1529001666","https://openalex.org/W1536879103","https://openalex.org/W1537614317","https://openalex.org/W1543697150","https://openalex.org/W1569512821","https://openalex.org/W1572891508","https://openalex.org/W1596724387","https://openalex.org/W1608234917","https://openalex.org/W1611432586","https://openalex.org/W1625719335","https://openalex.org/W1629323901","https://openalex.org/W1797642966","https://openalex.org/W1965363502","https://openalex.org/W1966055967","https://openalex.org/W1967097202","https://openalex.org/W1968338193","https://openalex.org/W1970005091","https://openalex.org/W1970361216","https://openalex.org/W1973064936","https://openalex.org/W1973150566","https://openalex.org/W1974709450","https://openalex.org/W1976751789","https://openalex.org/W1978556728","https://openalex.org/W1979295135","https://openalex.org/W1980001934","https://openalex.org/W1980104042","https://openalex.org/W1983311686","https://openalex.org/W1984719861","https://openalex.org/W1984878454","https://openalex.org/W1984898583","https://openalex.org/W1984922264","https://openalex.org/W1985940938","https://openalex.org/W1986582523","https://openalex.org/W1988127920","https://openalex.org/W1989157562","https://openalex.org/W1992465972","https://openalex.org/W1992971218","https://openalex.org/W1997461927","https://openalex.org/W1997596874","https://openalex.org/W1998360701","https://openalex.org/W1999184448","https://openalex.org/W1999761111","https://openalex.org/W2001685280","https://openalex.org/W2002009956","https://openalex.org/W2002917611","https://openalex.org/W2006325783","https://openalex.org/W2007104515","https://openalex.org/W2008694757","https://openalex.org/W2010099665","https://openalex.org/W2010793745","https://openalex.org/W2010820962","https://openalex.org/W2010913886","https://openalex.org/W2012691005","https://openalex.org/W2013351998","https://openalex.org/W2013801219","https://openalex.org/W2014460257","https://openalex.org/W2014781641","https://openalex.org/W2015042722","https://openalex.org/W2015318984","https://openalex.org/W2015755186","https://openalex.org/W2016901852","https://openalex.org/W2019765942","https://openalex.org/W2021967649","https://openalex.org/W2023391815","https://openalex.org/W2023813633","https://openalex.org/W2025242609","https://openalex.org/W2025341895","https://openalex.org/W2025516544","https://openalex.org/W2026698196","https://openalex.org/W2026877196","https://openalex.org/W2028255547","https://openalex.org/W2028412927","https://openalex.org/W2030047608","https://openalex.org/W2030155227","https://openalex.org/W2033102303","https://openalex.org/W2033233860","https://openalex.org/W2035121165","https://openalex.org/W2038278682","https://openalex.org/W2038529815","https://openalex.org/W2040062080","https://openalex.org/W2040729909","https://openalex.org/W2043812698","https://openalex.org/W2047696693","https://openalex.org/W2049624451","https://openalex.org/W2050573497","https://openalex.org/W2058191865","https://openalex.org/W2059350070","https://openalex.org/W2063917125","https://openalex.org/W2064292870","https://openalex.org/W2066477221","https://openalex.org/W2069908948","https://openalex.org/W2070926811","https://openalex.org/W2070932504","https://openalex.org/W2077135140","https://openalex.org/W2077532469","https://openalex.org/W2082918260","https://openalex.org/W2083349148","https://openalex.org/W2084236951","https://openalex.org/W2085571422","https://openalex.org/W2085894240","https://openalex.org/W2085999326","https://openalex.org/W2087159568","https://openalex.org/W2088271722","https://openalex.org/W2089236698","https://openalex.org/W2089395964","https://openalex.org/W2089417352","https://openalex.org/W2090030330","https://openalex.org/W2091901509","https://openalex.org/W2091990939","https://openalex.org/W2092144432","https://openalex.org/W2095883452","https://openalex.org/W2097262070","https://openalex.org/W2097400197","https://openalex.org/W2099887317","https://openalex.org/W2102667231","https://openalex.org/W2112300891","https://openalex.org/W2117488859","https://openalex.org/W2117875609","https://openalex.org/W2122590911","https://openalex.org/W2124471443","https://openalex.org/W2126968092","https://openalex.org/W2127071290","https://openalex.org/W2132729131","https://openalex.org/W2133508946","https://openalex.org/W2133852950","https://openalex.org/W2135350133","https://openalex.org/W2136576166","https://openalex.org/W2137485331","https://openalex.org/W2140550763","https://openalex.org/W2147142035","https://openalex.org/W2151071654","https://openalex.org/W2154193558","https://openalex.org/W2154964983","https://openalex.org/W2162645407","https://openalex.org/W2169241716","https://openalex.org/W2171208687","https://openalex.org/W2188421642","https://openalex.org/W2312323924","https://openalex.org/W2317715882","https://openalex.org/W2320380254","https://openalex.org/W2321700729","https://openalex.org/W2322874525","https://openalex.org/W2322919899","https://openalex.org/W2333337922","https://openalex.org/W2335591369","https://openalex.org/W2345081075","https://openalex.org/W2414926899","https://openalex.org/W2487180414","https://openalex.org/W2493581502","https://openalex.org/W2502809757","https://openalex.org/W2505973226","https://openalex.org/W2610542513","https://openalex.org/W2614500610","https://openalex.org/W2809676713","https://openalex.org/W2887430556","https://openalex.org/W2949662102","https://openalex.org/W2962698398","https://openalex.org/W2963516047","https://openalex.org/W2963801801","https://openalex.org/W2980500022","https://openalex.org/W2984611280","https://openalex.org/W3003933024","https://openalex.org/W3037944368","https://openalex.org/W3123989037","https://openalex.org/W3128024320","https://openalex.org/W3147289055","https://openalex.org/W3148511582","https://openalex.org/W3173915589","https://openalex.org/W3196492948","https://openalex.org/W4237308115","https://openalex.org/W4241689568","https://openalex.org/W4254034029","https://openalex.org/W4301343942","https://openalex.org/W6656594533","https://openalex.org/W6678451551","https://openalex.org/W6679874394","https://openalex.org/W7056278101"],"related_works":["https://openalex.org/W2331157069","https://openalex.org/W2524618914","https://openalex.org/W4394644639","https://openalex.org/W2391186154","https://openalex.org/W4403167256","https://openalex.org/W4413332245","https://openalex.org/W3003868259","https://openalex.org/W2079340531","https://openalex.org/W3111917822","https://openalex.org/W6959829227"],"abstract_inverted_index":{"Abstract":[0],"The":[1,64,101,191],"law":[2,40,133,150,175,192,240],"of":[3,11,22,33,41,62,98,114,121,134,173,176,187,193,231,238,241,249],"mass":[4,42,135,177,194,242],"action":[5,136,178,195,243],"does":[6,25,46],"not":[7,26,47,166,197,226],"force":[8],"a":[9,31,89,140,236,245],"series":[10,32],"chemical":[12,34,78,158,223],"reactions":[13,35],"to":[14,38,58,139,182,189],"have":[15],"the":[16,39,73,77,116,132,145,149,157,174,205,222,239],"same":[17,206],"current":[18,24,28,122,129,232],"flow":[19],"everywhere.":[20],"Interruption":[21],"far-away":[23],"stop":[27],"everywhere":[29],"in":[30,69,72,156,168,199,212,221,235],"(analyzed":[36],"according":[37],"action),":[43],"and":[44,54,131,202,218,251],"so":[45],"obey":[48],"Maxwell\u2019s":[49],"equations.":[50],"An":[51],"additional":[52,65],"constraint":[53,66],"equation":[55],"is":[56,67,93,137,160,196,233],"needed":[57],"enforce":[59,112],"global":[60],"continuity":[61,123,230],"current.":[63],"introduced":[68],"this":[70],"paper":[71],"special":[74],"case":[75,103],"that":[76,87,111,169,208],"reaction":[79],"describes":[80],"spatial":[81],"movement":[82],"through":[83],"narrow":[84],"channels.":[85],"In":[86],"case,":[88],"fully":[90],"consistent":[91,246],"treatment":[92],"possible":[94,228],"using":[95,244],"different":[96,143],"models":[97,210,217],"charge":[99],"movement.":[100],"general":[102],"must":[104],"be":[105,227],"dealt":[106],"with":[107],"by":[108],"variational":[109,247],"methods":[110],"consistency":[113],"all":[115],"physical":[117],"laws":[118,164],"involved.":[119],"Violations":[120],"arise":[124],"away":[125],"from":[126,144,184],"equilibrium,":[127],"when":[128,148],"flows,":[130],"applied":[138],"non-equilibrium":[141],"situation,":[142],"systems":[146],"considered":[147],"was":[151],"originally":[152],"derived.":[153],"Device":[154],"design":[155],"world":[159,224],"difficult":[161],"because":[162],"simple":[163],"are":[165,179],"obeyed":[167],"way.":[170],"Rate":[171],"constants":[172],"found":[180],"experimentally":[181],"change":[183],"one":[185],"set":[186],"conditions":[188],"another.":[190],"robust":[198],"most":[200],"cases":[201],"cannot":[203],"serve":[204],"role":[207],"circuit":[209],"do":[211],"our":[213],"electrical":[214],"technology.":[215],"Robust":[216],"device":[219],"designs":[220],"will":[225],"until":[229],"embedded":[234],"generalization":[237],"model":[248],"energy":[250],"dissipation.":[252]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}