{"id":"https://openalex.org/W7223676471","doi":"https://doi.org/10.48550/arxiv.2610.32272","title":"Nonlocal Thermoelectric Transport in Degenerate Electron Systems","display_name":"Nonlocal Thermoelectric Transport in Degenerate Electron Systems","publication_year":2026,"publication_date":"2026-10-23","ids":{"openalex":"https://openalex.org/W7223676471","doi":"https://doi.org/10.48550/arxiv.2610.32272"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.32272","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32272","pdf_url":"https://arxiv.org/pdf/2610.32272","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.32272","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159607996","display_name":"Albert Beardo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Beardo, Albert","raw_affiliation_strings":["Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159604938","display_name":"Adri\u00e1n Ramos-Mart\u00edn","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ramos-Mart\u00edn, Adri\u00e1n","raw_affiliation_strings":["Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5094354132","display_name":"Jordi Tur-Prats","orcid":"https://orcid.org/0009-0004-0123-5597","observed_orcids":["https://orcid.org/0009-0004-0123-5597"]},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Tur-Prats, Jordi","raw_affiliation_strings":["Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159692628","display_name":"F. Xavier Alvarez","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alvarez, F. Xavier","raw_affiliation_strings":["Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159580698","display_name":"Juan Camacho","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Camacho, Juan","raw_affiliation_strings":["Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica , Universitat Aut\u00f2noma de Barcelona , E-08193 Bellaterra , Catalonia , Spain","institution_ids":["https://openalex.org/I123044942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I123044942"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10440","display_name":"Advanced Thermoelectric Materials and Devices","score":0.8744999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10440","display_name":"Advanced Thermoelectric Materials and Devices","score":0.8744999766349792,"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/T11277","display_name":"Thermal properties of materials","score":0.060100000351667404,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.01769999973475933,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/boltzmann-equation","display_name":"Boltzmann equation","score":0.8740000128746033},{"id":"https://openalex.org/keywords/callaway-model","display_name":"Callaway model","score":0.7070000171661377},{"id":"https://openalex.org/keywords/guyer-krumhansl-equation","display_name":"Guyer-Krumhansl equation","score":0.9120000004768372},{"id":"https://openalex.org/keywords/seebeck-coefficient","display_name":"Seebeck coefficient","score":0.5889999866485596},{"id":"https://openalex.org/keywords/peltier-coefficient","display_name":"Peltier coefficient","score":0.9990000128746033},{"id":"https://openalex.org/keywords/onsager-reciprocal-relations","display_name":"Onsager reciprocal relations","score":0.953000009059906},{"id":"https://openalex.org/keywords/hydrodynamic-electron-transport","display_name":"hydrodynamic electron transport","score":0.5460000038146973},{"id":"https://openalex.org/keywords/size-dependent-thermal-conductivity","display_name":"size-dependent thermal conductivity","score":0.6859999895095825},{"id":"https://openalex.org/keywords/copper","display_name":"copper","score":0.36800000071525574},{"id":"https://openalex.org/keywords/nickel","display_name":"nickel","score":0.9309999942779541},{"id":"https://openalex.org/keywords/mean-free-path","display_name":"mean free path","score":0.5230000019073486},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.3540000021457672}],"concepts":[{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.6972000002861023},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.6776000261306763},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6570000052452087},{"id":"https://openalex.org/C63024428","wikidata":"https://www.wikidata.org/wiki/Q552456","display_name":"Thermoelectric effect","level":2,"score":0.6320000290870667},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5365999937057495},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5202000141143799},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44670000672340393},{"id":"https://openalex.org/C117926987","wikidata":"https://www.wikidata.org/wiki/Q210009","display_name":"Joule heating","level":2,"score":0.42340001463890076},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4205000102519989},{"id":"https://openalex.org/C2988881298","wikidata":"https://www.wikidata.org/wiki/Q16884885","display_name":"Transport theory","level":2,"score":0.41510000824928284},{"id":"https://openalex.org/C112625512","wikidata":"https://www.wikidata.org/wiki/Q1091448","display_name":"Seebeck coefficient","level":3,"score":0.39480000734329224},{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.3758000135421753},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.374099999666214},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.3659000098705292},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.36320000886917114},{"id":"https://openalex.org/C140767772","wikidata":"https://www.wikidata.org/wiki/Q5421889","display_name":"Extended irreversible thermodynamics","level":3,"score":0.36079999804496765},{"id":"https://openalex.org/C104232198","wikidata":"https://www.wikidata.org/wiki/Q865807","display_name":"Charge carrier","level":2,"score":0.3456000089645386},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34549999237060547},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.3434000015258789},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3425000011920929},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.3384999930858612},{"id":"https://openalex.org/C106925770","wikidata":"https://www.wikidata.org/wiki/Q17021908","display_name":"Heat current","level":3,"score":0.3361999988555908},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.33000001311302185},{"id":"https://openalex.org/C19979193","wikidata":"https://www.wikidata.org/wiki/Q25100325","display_name":"Kinetic theory","level":2,"score":0.3269999921321869},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3188999891281128},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C69990965","wikidata":"https://www.wikidata.org/wiki/Q65402698","display_name":"Electrical resistivity and conductivity","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C92718894","wikidata":"https://www.wikidata.org/wiki/Q679643","display_name":"Transport phenomena","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.26600000262260437},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.32272","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32272","pdf_url":"https://arxiv.org/pdf/2610.32272","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":"doi:10.48550/arxiv.2610.32272","doi":"https://doi.org/10.48550/arxiv.2610.32272","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.32272","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":"pmh:oai:arXiv.org:2610.32272","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32272","pdf_url":"https://arxiv.org/pdf/2610.32272","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223676471.pdf","grobid_xml":"https://content.openalex.org/works/W7223676471.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W3108801495","https://openalex.org/W4403733223","https://openalex.org/W6948004995"],"related_works":["https://openalex.org/W2048360271","https://openalex.org/W2048690185","https://openalex.org/W3178836378","https://openalex.org/W2107004420","https://openalex.org/W7011541579","https://openalex.org/W2091263726","https://openalex.org/W2012572820","https://openalex.org/W2027622727","https://openalex.org/W4400731964","https://openalex.org/W3208416170"],"abstract_inverted_index":{"When":[0],"the":[1,10,15,23,37,83,98,107,116,121,133,161,166,186,204],"characteristic":[2],"length":[3],"scales":[4],"of":[5,110],"transport":[6,55,89,117,131,169],"become":[7],"comparable":[8,184],"to":[9,40,47,78,132,181,185],"carrier":[11,187],"mean":[12,188],"free":[13,189],"path,":[14],"local":[16],"constitutive":[17,42,123],"description":[18,73,128],"breaks":[19],"down.":[20],"We":[21,44],"develop":[22],"Flux":[24],"Derivative":[25],"Formalism":[26],"(FDF),":[27],"a":[28,33,70,126,142],"kinetic":[29],"framework":[30],"that":[31,74,105],"provides":[32],"systematic":[34],"route":[35],"from":[36,129],"Boltzmann":[38,85,175],"equation":[39,140],"nonlocal":[41],"equations.":[43],"use":[45],"it":[46],"derive":[48],"coupled":[49,158],"equations":[50],"for":[51,93],"charge":[52],"and":[53,112,155,196,203],"heat":[54,139],"in":[56,153],"isotropic":[57],"electronic":[58,95,138],"systems,":[59],"together":[60],"with":[61,172],"boundary":[62],"conditions":[63],"derived":[64,92],"consistently":[65],"within":[66,97],"this":[67],"approach,":[68],"yielding":[69],"closed":[71],"macroscopic":[72],"can":[75],"be":[76],"applied":[77],"complex":[79],"geometries":[80],"without":[81],"solving":[82],"full":[84],"problem.":[86],"The":[87,137,191],"explicit":[88],"coefficients":[90,118,198],"are":[91,147],"degenerate":[94],"systems":[96],"Callaway":[99],"model.":[100],"A":[101],"central":[102],"result":[103],"is":[104],"varying":[106],"relative":[108],"strength":[109],"resistive":[111],"momentum-conserving":[113],"collisions":[114],"changes":[115],"but":[119],"not":[120],"non-local":[122],"structure,":[124],"providing":[125],"continuous":[127],"resistive-dominated":[130],"collective":[134],"hydrodynamic":[135],"limit.":[136],"takes":[141],"Guyer-Krumhansl":[143],"form,":[144],"whose":[145],"predictions":[146],"validated":[148],"against":[149],"size-dependent":[150],"thermal-transport":[151],"measurements":[152],"Cu":[154],"Ni.":[156],"For":[157],"thermoelectric":[159],"transport,":[160],"resulting":[162],"boundary-value":[163],"problem":[164],"determines":[165],"complete":[167],"geometry-dependent":[168,194],"matrix.":[170],"Comparison":[171],"spatially":[173],"resolved":[174],"solutions":[176],"confirms":[177],"quantitative":[178],"accuracy":[179],"down":[180],"transverse":[182],"dimensions":[183],"path.":[190],"theory":[192],"predicts":[193],"Seebeck":[195],"Peltier":[197],"while":[199],"preserving":[200],"Onsager":[201],"reciprocity":[202],"Kelvin":[205],"relation.":[206]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-27T00:00:00"}
