{"id":"https://openalex.org/W4322502774","doi":"https://doi.org/10.3390/e25030416","title":"Galilean Bulk-Surface Electrothermodynamics and Applications to Electrochemistry","display_name":"Galilean Bulk-Surface Electrothermodynamics and Applications to Electrochemistry","publication_year":2023,"publication_date":"2023-02-25","ids":{"openalex":"https://openalex.org/W4322502774","doi":"https://doi.org/10.3390/e25030416","pmid":"https://pubmed.ncbi.nlm.nih.gov/36981305"},"language":"en","primary_location":{"id":"doi:10.3390/e25030416","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25030416","pdf_url":"https://www.mdpi.com/1099-4300/25/3/416/pdf?version=1677643453","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/1099-4300/25/3/416/pdf?version=1677643453","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064048810","display_name":"R\u00fcdiger M\u00fcller","orcid":"https://orcid.org/0000-0003-2643-722X"},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R\u00fcdiger M\u00fcller","raw_affiliation_strings":["Weierstrass-Institute, Mohrenstr. 39, 10117 Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2643-722X","affiliations":[{"raw_affiliation_string":"Weierstrass-Institute, Mohrenstr. 39, 10117 Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060883877","display_name":"Manuel Landstorfer","orcid":"https://orcid.org/0000-0002-0565-2601"},"institutions":[{"id":"https://openalex.org/I4210092021","display_name":"Weierstrass Institute for Applied Analysis and Stochastics","ror":"https://ror.org/00h1x4t21","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210092021"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Manuel Landstorfer","raw_affiliation_strings":["Weierstrass-Institute, Mohrenstr. 39, 10117 Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-0565-2601","affiliations":[{"raw_affiliation_string":"Weierstrass-Institute, Mohrenstr. 39, 10117 Berlin, Germany","institution_ids":["https://openalex.org/I4210092021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060883877"],"corresponding_institution_ids":["https://openalex.org/I4210092021"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":1799,"currency":"EUR","value_usd":1940},"fwci":0.2929,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.48541782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"25","issue":"3","first_page":"416","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.998199999332428,"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":0.998199999332428,"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/T10474","display_name":"Material Dynamics and Properties","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10413","display_name":"High-pressure geophysics and materials","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/galilean","display_name":"Galilean","score":0.8215168118476868},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.5659836530685425},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5075808763504028},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5029270052909851},{"id":"https://openalex.org/keywords/galilean-invariance","display_name":"Galilean invariance","score":0.49581465125083923},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4780612289905548},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.47076013684272766},{"id":"https://openalex.org/keywords/galilean-transformation","display_name":"Galilean transformation","score":0.4482109248638153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30973732471466064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27124735713005066},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2341834008693695}],"concepts":[{"id":"https://openalex.org/C2776442084","wikidata":"https://www.wikidata.org/wiki/Q5518599","display_name":"Galilean","level":2,"score":0.8215168118476868},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.5659836530685425},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5075808763504028},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5029270052909851},{"id":"https://openalex.org/C74797697","wikidata":"https://www.wikidata.org/wiki/Q2481895","display_name":"Galilean invariance","level":2,"score":0.49581465125083923},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4780612289905548},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.47076013684272766},{"id":"https://openalex.org/C176140920","wikidata":"https://www.wikidata.org/wiki/Q219207","display_name":"Galilean transformation","level":3,"score":0.4482109248638153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30973732471466064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27124735713005066},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2341834008693695}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e25030416","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25030416","pdf_url":"https://www.mdpi.com/1099-4300/25/3/416/pdf?version=1677643453","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:36981305","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36981305","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:pubmedcentral.nih.gov:10047772","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10047772","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10047772/pdf/entropy-25-00416.pdf","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"},{"id":"pmh:doi:10.20347/wias.preprint.2984","is_oa":true,"landing_page_url":"https://archive.wias-berlin.de/receive/wias_mods_00007492?XSL.Transformer=mods","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:9ffe55d03b0544aeadcb27fdce75b519","is_oa":true,"landing_page_url":"https://doaj.org/article/9ffe55d03b0544aeadcb27fdce75b519","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 25, Iss 3, p 416 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/25/3/416/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e25030416","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","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e25030416","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25030416","pdf_url":"https://www.mdpi.com/1099-4300/25/3/416/pdf?version=1677643453","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/G1372115314","display_name":null,"funder_award_id":"EXC-2046","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3642369596","display_name":null,"funder_award_id":"Project AA2-6","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3684656814","display_name":null,"funder_award_id":"MATH+ (EXC-2046/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7354608348","display_name":null,"funder_award_id":"EXC-2046/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7362566262","display_name":null,"funder_award_id":"EXC-2046/1","funder_id":"https://openalex.org/F4320330291","funder_display_name":"Berlin Mathematics Research Center MATH+"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320330291","display_name":"Berlin Mathematics Research Center MATH+","ror":null},{"id":"https://openalex.org/F4320334763","display_name":"Leibniz-Gemeinschaft","ror":"https://ror.org/01n6r0e97"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4322502774.pdf","grobid_xml":"https://content.openalex.org/works/W4322502774.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1059101386","https://openalex.org/W1989613186","https://openalex.org/W2021747225","https://openalex.org/W2025148954","https://openalex.org/W2031935951","https://openalex.org/W2126834831","https://openalex.org/W2134621008","https://openalex.org/W2293100196","https://openalex.org/W2331490077","https://openalex.org/W2903858163","https://openalex.org/W2920391428","https://openalex.org/W2972901727","https://openalex.org/W3101722912","https://openalex.org/W4205822163","https://openalex.org/W4223647291"],"related_works":["https://openalex.org/W4313396034","https://openalex.org/W2020449393","https://openalex.org/W13300732","https://openalex.org/W2502268634","https://openalex.org/W2742897733","https://openalex.org/W4312097666","https://openalex.org/W2025820102","https://openalex.org/W2007384853","https://openalex.org/W1969086417","https://openalex.org/W2770133746"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,16,23,28,69,72,76,104,117,120,125,146,149,153,157,167,170],"balance":[4,155],"equations":[5,85],"of":[6,15,56,75,84,106,119,128,148,160,169],"non-equilibrium":[7],"thermodynamics":[8],"are":[9,91,133],"coupled":[10,92],"to":[11,21,71,100,174],"Galilean":[12,73],"limit":[13,25],"systems":[14],"Maxwell":[17,77,129],"equations,":[18,78],"i.e.,":[19],"either":[20],"(i)":[22],"quasi-electrostatic":[24],"or":[26],"(ii)":[27],"quasi-magnetostatic":[29],"limit.":[30],"We":[31],"explicitly":[32],"consider":[33],"a":[34,45,52,57],"volume":[35],"\u03a9,":[36],"which":[37],"is":[38,143],"divided":[39],"into":[40],"\u03a9+":[41],"and":[42,88,113,140,152],"\u03a9\u2212":[43],"by":[44],"possibly":[46],"moving":[47],"singular":[48],"surface":[49,179],"S,":[50],"where":[51],"charged":[53],"reacting":[54],"mixture":[55],"viscous":[58],"medium":[59],"can":[60],"be":[61],"present":[62],"on":[63,136],"each":[64],"geometrical":[65],"entity":[66],"(\u03a9+,S,\u03a9\u2212).":[67],"By":[68],"restriction":[70],"limits":[74],"we":[79,165],"achieve":[80],"that":[81,93],"only":[82],"subsystems":[83],"for":[86],"matter":[87],"electromagnetic":[89],"fields":[90],"share":[94],"identical":[95],"transformation":[96],"properties":[97],"with":[98,178],"respect":[99],"observer":[101],"transformations.":[102],"Moreover,":[103],"application":[105,168],"an":[107,137,175],"entropy":[108,138],"principle":[109],"becomes":[110],"more":[111,121],"straightforward":[112],"finally":[114],"helps":[115],"estimate":[116],"limitations":[118],"general":[122,158],"approach":[123],"based":[124,135],"full":[126],"set":[127],"equations.":[130],"Constitutive":[131],"relations":[132],"provided":[134],"principle,":[139],"particular":[141],"care":[142],"taken":[144],"in":[145,156],"analysis":[147],"stress":[150],"tensor":[151],"momentum":[154],"case":[159],"non-constant":[161],"scalar":[162],"susceptibility.":[163],"Finally,":[164],"summarise":[166],"derived":[171],"model":[172],"framework":[173],"electrochemical":[176],"system":[177],"reactions.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
