{"id":"https://openalex.org/W4402502380","doi":"https://doi.org/10.48550/arxiv.2408.09749","title":"Non-isothermal diffuse interface model for phase transition and interface evolution","display_name":"Non-isothermal diffuse interface model for phase transition and interface evolution","publication_year":2024,"publication_date":"2024-08-19","ids":{"openalex":"https://openalex.org/W4402502380","doi":"https://doi.org/10.48550/arxiv.2408.09749"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2408.09749","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.09749","pdf_url":"https://arxiv.org/pdf/2408.09749","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2408.09749","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100373889","display_name":"Chun Liu","orcid":"https://orcid.org/0000-0002-0480-0107"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Chun","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072588661","display_name":"Jan-Eric Sulzbach","orcid":"https://orcid.org/0000-0002-9446-2366"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sulzbach, Jan-Eric","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100397311","display_name":"Yiwei Wang","orcid":"https://orcid.org/0000-0002-1267-9669"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yiwei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9848999977111816,"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9848999977111816,"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/T12202","display_name":"nanoparticles nucleation surface interactions","score":0.9664000272750854,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9004999995231628,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/interface","display_name":"Interface (matter)","score":0.7314481735229492},{"id":"https://openalex.org/keywords/isothermal-process","display_name":"Isothermal process","score":0.7131620645523071},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.5554667711257935},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.5299331545829773},{"id":"https://openalex.org/keywords/interface-model","display_name":"Interface model","score":0.5012331008911133},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4399658739566803},{"id":"https://openalex.org/keywords/chemical-physics","display_name":"Chemical physics","score":0.37626272439956665},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.34120702743530273},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.24008804559707642},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2159307897090912},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15988406538963318},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.09835547208786011},{"id":"https://openalex.org/keywords/human\u2013computer-interaction","display_name":"Human\u2013computer interaction","score":0.0798686146736145}],"concepts":[{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.7314481735229492},{"id":"https://openalex.org/C133347239","wikidata":"https://www.wikidata.org/wiki/Q486921","display_name":"Isothermal process","level":2,"score":0.7131620645523071},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5554667711257935},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5299331545829773},{"id":"https://openalex.org/C2988635477","wikidata":"https://www.wikidata.org/wiki/Q28130211","display_name":"Interface model","level":2,"score":0.5012331008911133},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4399658739566803},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.37626272439956665},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.34120702743530273},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.24008804559707642},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2159307897090912},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15988406538963318},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09835547208786011},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.0798686146736145},{"id":"https://openalex.org/C28413391","wikidata":"https://www.wikidata.org/wiki/Q785542","display_name":"Capillary number","level":3,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C196806460","wikidata":"https://www.wikidata.org/wiki/Q188603","display_name":"Capillary action","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2408.09749","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.09749","pdf_url":"https://arxiv.org/pdf/2408.09749","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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.2408.09749","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2408.09749","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2408.09749","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.09749","pdf_url":"https://arxiv.org/pdf/2408.09749","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[{"id":"https://openalex.org/G161002583","display_name":null,"funder_award_id":"DMS-2410742","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1666196044","display_name":"Collaborative Research: Energetic Variation Based Numerical Studies in Complex Fluids with Thermo-Chemo-Mechanical Effects","funder_award_id":"2410742","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G249715019","display_name":null,"funder_award_id":"DMS-2118181","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4178184485","display_name":"QuasiStation\u00e4rzustand Approximation f\u00fcr Partielle Differentialgleichungen","funder_award_id":"456754695","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4282797474","display_name":"Energetic Variational Inference: Foundations, Algorithms, and Applications","funder_award_id":"2153029","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5711528325","display_name":null,"funder_award_id":"DMS-2410740","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5725870316","display_name":null,"funder_award_id":"DMS-2153029","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6885573856","display_name":"Collaborative Research: DMREF: Microstructure by Design: Integrating Grain Growth Experiments, Data Analytics, Simulation, and Theory","funder_award_id":"2118181","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402502380.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3044879782","https://openalex.org/W2384814135","https://openalex.org/W4241044836","https://openalex.org/W2068090532","https://openalex.org/W2085062582","https://openalex.org/W1991052233","https://openalex.org/W2365762807","https://openalex.org/W268054971","https://openalex.org/W1815006996","https://openalex.org/W2170435352"],"abstract_inverted_index":{"In":[0,88],"this":[1,89],"paper,":[2],"we":[3,47,60],"derive":[4,48],"a":[5,49,74,81,112,118,126],"thermodynamically":[6],"consistent":[7],"non-isothermal":[8,50,69],"diffuse":[9],"interface":[10,16,66,96,100],"model":[11,22],"for":[12,111,120],"phase":[13],"transition":[14],"and":[15,57,97,102],"evolution":[17],"involving":[18],"heat":[19],"transfer.":[20],"This":[21],"is":[23],"constructed":[24],"by":[25,105],"integrating":[26],"concepts":[27],"from":[28],"classical":[29,122],"irreversible":[30],"thermodynamics":[31],"with":[32],"the":[33,42,45,64,68,85,91,94,98,106,121],"energetic":[34],"variational":[35],"approach.":[36],"By":[37],"making":[38],"specific":[39],"assumptions":[40],"about":[41],"kinematics":[43],"of":[44,84,93],"temperature,":[46],"Allen-Cahn":[51,70],"equation.":[52],"Through":[53],"both":[54],"asymptotic":[55],"analysis":[56],"numerical":[58],"simulations,":[59],"demonstrate":[61],"that":[62],"in":[63],"sharp":[65],"limit,":[67],"equation":[71],"converges":[72],"to":[73],"two-phase":[75],"nonlinear":[76],"Stefan":[77,123],"type":[78],"problem,":[79],"under":[80],"certain":[82,127],"scale":[83],"melting/freezing":[86],"energy.":[87],"regime,":[90],"motion":[92],"liquid-solid":[95],"temperature":[99],"coincide":[101],"are":[103],"governed":[104],"mean":[107],"curvature,":[108],"at":[109],"least":[110],"short":[113],"time.":[114],"The":[115],"result":[116],"provides":[117],"justification":[119],"problem":[124],"within":[125],"physical":[128],"regime.":[129]},"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}
