{"id":"https://openalex.org/W2121954429","doi":"https://doi.org/10.3390/entropy-e10020049","title":"A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations","display_name":"A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations","publication_year":2008,"publication_date":"2008-06-16","ids":{"openalex":"https://openalex.org/W2121954429","doi":"https://doi.org/10.3390/entropy-e10020049","mag":"2121954429"},"language":"en","primary_location":{"id":"doi:10.3390/entropy-e10020049","is_oa":true,"landing_page_url":"https://doi.org/10.3390/entropy-e10020049","pdf_url":"https://www.mdpi.com/1099-4300/10/2/49/pdf?version=1424784633","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/10/2/49/pdf?version=1424784633","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032131820","display_name":"Michael Nosonovsky","orcid":"https://orcid.org/0000-0003-0980-3670"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Nosonovsky","raw_affiliation_strings":["Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103552562","display_name":"Sven K. Esche","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sven K. Esche","raw_affiliation_strings":["Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA","institution_ids":["https://openalex.org/I108468826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032131820"],"corresponding_institution_ids":["https://openalex.org/I108468826"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.0662,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91263353,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"10","issue":"2","first_page":"49","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9968000054359436,"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"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9968000054359436,"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"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9933000206947327,"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":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/orderliness","display_name":"Orderliness","score":0.9068257808685303},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.7549222111701965},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6678473949432373},{"id":"https://openalex.org/keywords/mesoscale-meteorology","display_name":"Mesoscale meteorology","score":0.5765457153320312},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5038475394248962},{"id":"https://openalex.org/keywords/configuration-entropy","display_name":"Configuration entropy","score":0.4989144802093506},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41429752111434937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31561940908432007},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.30896222591400146},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10367026925086975},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.06758201122283936}],"concepts":[{"id":"https://openalex.org/C2775920722","wikidata":"https://www.wikidata.org/wiki/Q7100719","display_name":"Orderliness","level":2,"score":0.9068257808685303},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7549222111701965},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6678473949432373},{"id":"https://openalex.org/C40382383","wikidata":"https://www.wikidata.org/wiki/Q2399824","display_name":"Mesoscale meteorology","level":2,"score":0.5765457153320312},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5038475394248962},{"id":"https://openalex.org/C124589349","wikidata":"https://www.wikidata.org/wiki/Q3726376","display_name":"Configuration entropy","level":2,"score":0.4989144802093506},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41429752111434937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31561940908432007},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.30896222591400146},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10367026925086975},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.06758201122283936},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/entropy-e10020049","is_oa":true,"landing_page_url":"https://doi.org/10.3390/entropy-e10020049","pdf_url":"https://www.mdpi.com/1099-4300/10/2/49/pdf?version=1424784633","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":"pmh:oai:doaj.org/article:f7a07eedf761414494301d08ca13801b","is_oa":true,"landing_page_url":"https://doaj.org/article/f7a07eedf761414494301d08ca13801b","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 10, Iss 2, Pp 49-54 (2008)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/entropy-e10020049","is_oa":true,"landing_page_url":"https://doi.org/10.3390/entropy-e10020049","pdf_url":"https://www.mdpi.com/1099-4300/10/2/49/pdf?version=1424784633","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/G6452432797","display_name":"Multi-scale Microstructure Prediction in Thermo-mechanical Processing","funder_award_id":"0300273","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2121954429.pdf","grobid_xml":"https://content.openalex.org/works/W2121954429.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1222330372","https://openalex.org/W1494596116","https://openalex.org/W1695929989","https://openalex.org/W1963797815","https://openalex.org/W1970474722","https://openalex.org/W1972639576","https://openalex.org/W2005422429","https://openalex.org/W2017121070","https://openalex.org/W2039706312","https://openalex.org/W2063842656","https://openalex.org/W2074722613","https://openalex.org/W2075123437","https://openalex.org/W2090390366","https://openalex.org/W2104158480","https://openalex.org/W3021741684","https://openalex.org/W6637601472"],"related_works":["https://openalex.org/W1528701848","https://openalex.org/W2075809698","https://openalex.org/W2072922866","https://openalex.org/W2584714167","https://openalex.org/W2913385005","https://openalex.org/W2981131928","https://openalex.org/W4210486920","https://openalex.org/W2248796447","https://openalex.org/W2377385172","https://openalex.org/W3125810014"],"abstract_inverted_index":{"Grain":[0],"growth":[1],"in":[2,37,95],"metals":[3],"is":[4,20,58,101,108,118],"driven":[5],"by":[6,23],"random":[7,18],"thermal":[8],"fluctuations":[9],"and":[10,29],"increases":[11],"the":[12,15,24,49,62,78,82,86,96,99,104,111,115],"orderliness":[13,35],"of":[14,48,52,85],"system.":[16],"This":[17],"process":[19],"usually":[21,73],"simulated":[22],"Monte":[25],"Carlo":[26],"(MC)":[27],"method":[28],"Cellular":[30],"Automata":[31],"(CA).":[32],"The":[33],"increasing":[34],"results":[36],"an":[38,91],"entropy":[39,84,100,117],"decrease,":[40],"thus":[41],"leading":[42,89],"to":[43,90],"a":[44,65],"paradoxical":[45],"apparent":[46,92],"violation":[47],"second":[50],"law":[51],"thermodynamics.":[53],"In":[54],"this":[55,69],"paper,":[56],"it":[57,107],"shown":[59],"that":[60,114],"treating":[61],"system":[63,67,87],"as":[64],"multiscale":[66],"resolves":[68],"paradox.":[70,93],"MC/CA":[71],"simulations":[72],"take":[74],"into":[75],"consideration":[76],"only":[77],"mesoscale":[79],"entropy.":[80],"Therefore,":[81],"information":[83],"decreases,":[88],"However,":[94],"physical":[97],"system,":[98],"produced":[102],"at":[103,110],"nanoscale":[105],"while":[106],"consumed":[109],"mesoscale,":[112],"so":[113],"net":[116],"growing.":[119]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}