{"id":"https://openalex.org/W2993581358","doi":"https://doi.org/10.1088/1361-651x/ab5e9a","title":"Modeling the vertical growth of van der Waals stacked 2D materials using the diffuse domain method","display_name":"Modeling the vertical growth of van der Waals stacked 2D materials using the diffuse domain method","publication_year":2019,"publication_date":"2019-12-04","ids":{"openalex":"https://openalex.org/W2993581358","doi":"https://doi.org/10.1088/1361-651x/ab5e9a","mag":"2993581358"},"language":"en","primary_location":{"id":"doi:10.1088/1361-651x/ab5e9a","doi":"https://doi.org/10.1088/1361-651x/ab5e9a","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-651x/ab5e9a","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-651X/ab5e9a/pdf","source":{"id":"https://openalex.org/S117777245","display_name":"Modelling and Simulation in Materials Science and Engineering","issn_l":"0965-0393","issn":["0965-0393","1361-651X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modelling and Simulation in Materials Science and Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/1361-651X/ab5e9a/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009327305","display_name":"Zhenlin Guo","orcid":"https://orcid.org/0000-0003-3219-6418","observed_orcids":["https://orcid.org/0000-0003-3219-6418"]},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhenlin Guo","raw_affiliation_strings":["Department of Mathematics, University of California, Irvine, CA 92697-3875, United States of America"],"raw_orcid":"https://orcid.org/0000-0003-3219-6418","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA 92697-3875, United States of America","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044676254","display_name":"Christopher C. Price","orcid":"https://orcid.org/0000-0002-4702-5817","observed_orcids":["https://orcid.org/0000-0002-4702-5817","https://orcid.org/0009-0005-3655-7307"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher Price","raw_affiliation_strings":["Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011906405","display_name":"Vivek B. Shenoy","orcid":"https://orcid.org/0000-0002-2645-1016","observed_orcids":["https://orcid.org/0000-0002-2645-1016"]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vivek B Shenoy","raw_affiliation_strings":["Bioengineering, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America","Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America","Department of Mechanical Engineering & Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bioengineering, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Mechanical Engineering & Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104-6272, United States of America","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010714351","display_name":"John S. Lowengrub","orcid":"https://orcid.org/0000-0003-1759-0900","observed_orcids":["https://orcid.org/0000-0003-1759-0900"]},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Lowengrub","raw_affiliation_strings":["Department of Biomedical Engineering, University of California, Irvine, CA 92697-3875, United States of America","Department of Mathematics, University of California, Irvine, CA 92697-3875, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, University of California, Irvine, CA 92697-3875, United States of America","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA 92697-3875, United States of America","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2700,"currency":"USD","value_usd":2700},"apc_paid":null,"fwci":0.3544,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.50315417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":92,"max":97},"biblio":{"volume":"28","issue":"2","first_page":"025002","last_page":"025002"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.489300012588501,"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/T10083","display_name":"Graphene research and applications","score":0.489300012588501,"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.427700012922287,"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/T10275","display_name":"2D Materials and Applications","score":0.008299999870359898,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/graphene","display_name":"graphene","score":0.7839999794960022},{"id":"https://openalex.org/keywords/burton-cabrera-frank-model","display_name":"Burton-Cabrera-Frank model","score":0.8659999966621399},{"id":"https://openalex.org/keywords/chemical-vapor-deposition","display_name":"chemical vapor deposition","score":0.7710000276565552},{"id":"https://openalex.org/keywords/van-der-waals-interaction-energy","display_name":"van der Waals interaction energy","score":0.875},{"id":"https://openalex.org/keywords/edge-energy","display_name":"edge energy","score":0.7039999961853027},{"id":"https://openalex.org/keywords/deposition-flux","display_name":"deposition flux","score":0.9049999713897705},{"id":"https://openalex.org/keywords/growth-conditions","display_name":"growth conditions","score":0.3409999907016754}],"concepts":[{"id":"https://openalex.org/C126061179","wikidata":"https://www.wikidata.org/wiki/Q189627","display_name":"van der Waals force","level":3,"score":0.7572582960128784},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7429203391075134},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6166867613792419},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5838914513587952},{"id":"https://openalex.org/C136525101","wikidata":"https://www.wikidata.org/wiki/Q5428139","display_name":"Fabrication","level":3,"score":0.4475718140602112},{"id":"https://openalex.org/C64297162","wikidata":"https://www.wikidata.org/wiki/Q1987070","display_name":"Deposition (geology)","level":3,"score":0.44154438376426697},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.4391435980796814},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4347075819969177},{"id":"https://openalex.org/C57410435","wikidata":"https://www.wikidata.org/wiki/Q505668","display_name":"Chemical vapor deposition","level":2,"score":0.4241294264793396},{"id":"https://openalex.org/C7070889","wikidata":"https://www.wikidata.org/wiki/Q902488","display_name":"Monolayer","level":2,"score":0.4191031754016876},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.3650282025337219},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23945751786231995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16941043734550476},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.15034455060958862},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.137632817029953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11830496788024902},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2816523","wikidata":"https://www.wikidata.org/wiki/Q180184","display_name":"Sediment","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1088/1361-651x/ab5e9a","doi":"https://doi.org/10.1088/1361-651x/ab5e9a","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-651x/ab5e9a","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-651X/ab5e9a/pdf","source":{"id":"https://openalex.org/S117777245","display_name":"Modelling and Simulation in Materials Science and Engineering","issn_l":"0965-0393","issn":["0965-0393","1361-651X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modelling and Simulation in Materials Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1911.11135","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.11135","pdf_url":"https://arxiv.org/pdf/1911.11135","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.1911.11135","doi":"https://doi.org/10.48550/arxiv.1911.11135","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.11135","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:10.1088/1361-651x/ab5e9a","doi":"https://doi.org/10.1088/1361-651x/ab5e9a","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-651x/ab5e9a","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-651X/ab5e9a/pdf","source":{"id":"https://openalex.org/S117777245","display_name":"Modelling and Simulation in Materials Science and Engineering","issn_l":"0965-0393","issn":["0965-0393","1361-651X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Modelling and Simulation in Materials Science and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1263248673","display_name":"Collaborative Research: Modeling and Simulation of the Growth of Graphene Multilayers and Heterostructures","funder_award_id":"1522603","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3424399648","display_name":null,"funder_award_id":"W911NF-16-1- 0447","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3445273311","display_name":"Collaborative Research: Modeling and Simulation of the Growth of Graphene Multilayers and Heterostructures","funder_award_id":"1522775","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6032549838","display_name":"Collaborative Research: Rational Design and Engineering of Atomically Thin Interfaces for Electronic Devices","funder_award_id":"1727717","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G657448715","display_name":null,"funder_award_id":"W911NF-16-1-","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7969923203","display_name":null,"funder_award_id":"DMS-1522775","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8267457552","display_name":null,"funder_award_id":"DMS-1522603","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G8980839182","display_name":null,"funder_award_id":"CMMI-1727717","funder_id":"https://openalex.org/F4320337391","funder_display_name":"Division of Civil, Mechanical and Manufacturing Innovation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2993581358.pdf","grobid_xml":"https://content.openalex.org/works/W2993581358.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1510368656","https://openalex.org/W1965571863","https://openalex.org/W1984080703","https://openalex.org/W2001538432","https://openalex.org/W2138267976","https://openalex.org/W2154641485","https://openalex.org/W2220031198","https://openalex.org/W2247182947","https://openalex.org/W2247615355","https://openalex.org/W2290594521","https://openalex.org/W2318170937","https://openalex.org/W2340200892","https://openalex.org/W2345736499","https://openalex.org/W2587432351","https://openalex.org/W2587771755","https://openalex.org/W2619587561","https://openalex.org/W2724716764","https://openalex.org/W2735846587","https://openalex.org/W2767124575","https://openalex.org/W2767835898","https://openalex.org/W2771823025","https://openalex.org/W2772715861","https://openalex.org/W2792846295","https://openalex.org/W2886401428","https://openalex.org/W2963652387","https://openalex.org/W3099181240","https://openalex.org/W3101961862","https://openalex.org/W3104921187"],"related_works":["https://openalex.org/W2771823025","https://openalex.org/W3207875180","https://openalex.org/W4293434237","https://openalex.org/W2888151982","https://openalex.org/W4380568976","https://openalex.org/W2884451287","https://openalex.org/W2587432351","https://openalex.org/W6946109796","https://openalex.org/W7163467527","https://openalex.org/W4362556496"],"abstract_inverted_index":{"Abstract":[0],"Vertically-stacked":[1],"monolayers":[2],"of":[3,16,41,67,71,86,158],"graphene":[4],"and":[5,34,149,176,183,224],"other":[6],"atomically-thin":[7],"2D":[8,72,229],"materials":[9,21,73],"have":[10],"attracted":[11],"considerable":[12],"research":[13],"interest":[14],"because":[15],"their":[17],"potential":[18],"in":[19,133],"fabricating":[20],"with":[22,213],"specifically-designed":[23],"properties.":[24],"Chemical":[25],"vapor":[26],"deposition":[27,178],"has":[28,44],"proved":[29],"to":[30,47,74,130,147],"be":[31,131],"an":[32,194],"efficient":[33],"scalable":[35],"fabrication":[36,50],"method.":[37],"However,":[38],"a":[39,61,97,134,140,219],"lack":[40],"mechanistic":[42,220],"understanding":[43],"hampered":[45],"efforts":[46],"control":[48],"the":[49,68,76,100,114,119,122,128,151,156,161,168,170,174,177,186,203,226],"process":[51],"beyond":[52],"empirical":[53],"trial-and-error":[54],"approaches.":[55],"In":[56],"this":[57],"paper,":[58],"we":[59,94,117,198],"develop":[60,207],"general":[62],"multiscale":[63],"Burton\u2013Cabrera\u2013Frank":[64],"type":[65],"model":[66,98,115],"vertical":[69,81,190],"growth":[70,78,85,182,191,227],"predict":[75],"necessary":[77],"conditions":[79,187],"for":[80,200,222],"versus":[82],"in-plane":[83],"(monolayer)":[84],"arbitrarily-shaped":[87],"layers.":[88],"This":[89],"extends":[90],"previous":[91],"work":[92],"where":[93],"developed":[95],"such":[96],"assuming":[99],"layers":[101],"were":[102],"fully-faceted":[103],"(Ye":[104],"et":[105],"al":[106],"2017":[107],"ACS":[108],"Nano":[109],"11":[110],"12780\u20138).":[111],"To":[112],"solve":[113,150],"numerically,":[116],"reformulate":[118],"system":[120],"using":[121],"phase-field/diffuse":[123],"domain":[124],"method":[125],"that":[126,188],"enables":[127],"equations":[129],"solved":[132],"fixed":[135],"regular":[136],"domain.":[137],"We":[138,154],"use":[139],"second-order":[141],"accurate,":[142],"adaptive":[143],"finite-difference/nonlinear":[144],"multigrid":[145],"algorithm":[146],"discretize":[148],"discrete":[152],"system.":[153],"investigate":[155],"effect":[157],"parameters,":[159],"including":[160],"van":[162],"der":[163],"Waals":[164],"interaction":[165],"energies":[166],"between":[167],"layers,":[169,202],"kinetic":[171],"attachment":[172],"rates,":[173],"edge-energies":[175],"flux,":[179],"on":[180],"layer":[181,204],"morphologies.":[184],"While":[185],"favor":[189],"generally":[192],"follow":[193],"analytic":[195],"thermodynamic":[196],"criterion":[197],"derived":[199],"circular":[201],"boundaries":[205],"may":[206],"significant":[208],"curvature":[209],"during":[210],"growth,":[211],"consistent":[212],"experimental":[214],"observations.":[215],"Our":[216],"approach":[217],"provides":[218],"framework":[221],"controlling":[223],"optimizing":[225],"multilayered":[228],"materials.":[230]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":4}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2019-12-13T00:00:00"}
