{"id":"https://openalex.org/W2949813504","doi":"https://doi.org/10.1039/c0cp00992j","title":"Chiral polymerization: symmetry breaking and entropy production in closed systems","display_name":"Chiral polymerization: symmetry breaking and entropy production in closed systems","publication_year":2010,"publication_date":"2010-11-08","ids":{"openalex":"https://openalex.org/W2949813504","doi":"https://doi.org/10.1039/c0cp00992j","mag":"2949813504","pmid":"https://pubmed.ncbi.nlm.nih.gov/21057681"},"language":"en","primary_location":{"id":"doi:10.1039/c0cp00992j","doi":"https://doi.org/10.1039/c0cp00992j","is_oa":false,"landing_page_url":"https://doi.org/10.1039/c0cp00992j","pdf_url":null,"source":{"id":"https://openalex.org/S181332294","display_name":"Physical Chemistry Chemical Physics","issn_l":"1463-9076","issn":["1463-9076","1463-9084"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-3","ki-jl-1","medline","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320556","host_organization_name":"Royal Society of Chemistry","host_organization_lineage":["https://openalex.org/P4310320556"],"host_organization_lineage_names":["Royal Society of Chemistry"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Phys. Chem. Chem. Phys.","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1104.2225","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Celia Blanco","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210129022","display_name":"Centro de Astrobiolog\u00eda","ror":"https://ror.org/038szmr31","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210117279","https://openalex.org/I4210129022"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Celia Blanco","raw_affiliation_strings":["Centro de Astrobiolog\u00eda (CSIC-INTA), Carretera Ajalvir Kil\u00f3metro 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain. blancodtc@inta.es"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Astrobiolog\u00eda (CSIC-INTA), Carretera Ajalvir Kil\u00f3metro 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain. blancodtc@inta.es","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210129022"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037097673","display_name":"David Hochberg","orcid":"https://orcid.org/0000-0002-0411-019X","observed_orcids":["https://orcid.org/0000-0002-0411-019X"]},"institutions":[{"id":"https://openalex.org/I4210129022","display_name":"Centro de Astrobiolog\u00eda","ror":"https://ror.org/038szmr31","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210117279","https://openalex.org/I4210129022"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"David Hochberg","raw_affiliation_strings":["Centro de Astrobiolog\u00eda (CSIC-INTA), Carretera Ajalvir Kil\u00f3metro 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Astrobiolog\u00eda (CSIC-INTA), Carretera Ajalvir Kil\u00f3metro 4, 28850 Torrej\u00f3n de Ardoz, Madrid, Spain","institution_ids":["https://openalex.org/I4210129022"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037097673"],"corresponding_institution_ids":["https://openalex.org/I134820265","https://openalex.org/I4210129022"],"apc_list":null,"apc_paid":null,"fwci":1.3311,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.79108475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"13","issue":"3","first_page":"839","last_page":"849"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11445","display_name":"Origins and Evolution of Life","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11445","display_name":"Origins and Evolution of Life","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.015200000256299973,"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/T14299","display_name":"Complex Systems and Dynamics","score":0.002099999925121665,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"symmetry breaking","score":0.6359999775886536},{"id":"https://openalex.org/keywords/entropy-generation","display_name":"entropy production","score":0.9779999852180481},{"id":"https://openalex.org/keywords/closed-systems","display_name":"closed systems","score":0.902999997138977},{"id":"https://openalex.org/keywords/enantiomeric-excess","display_name":"enantiomeric excess","score":0.8659999966621399},{"id":"https://openalex.org/keywords/absolute-asymmetric-synthesis","display_name":"absolute asymmetric synthesis","score":0.8650000095367432},{"id":"https://openalex.org/keywords/kinetic-model","display_name":"kinetic model","score":0.6140000224113464},{"id":"https://openalex.org/keywords/statistical-fluctuations","display_name":"statistical fluctuations","score":0.8140000104904175},{"id":"https://openalex.org/keywords/homopolymer-chains","display_name":"homopolymer chains","score":0.8190000057220459},{"id":"https://openalex.org/keywords/racemization","display_name":"racemization","score":0.8349999785423279},{"id":"https://openalex.org/keywords/thermodynamic-constraints","display_name":"thermodynamic constraints","score":0.4959999918937683},{"id":"https://openalex.org/keywords/kinetic-inhibition","display_name":"kinetic inhibition","score":0.3149999976158142}],"concepts":[{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.7228000164031982},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6766999959945679},{"id":"https://openalex.org/C52703039","wikidata":"https://www.wikidata.org/wiki/Q5101837","display_name":"Chiral symmetry breaking","level":3,"score":0.5788000226020813},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5516999959945679},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5324000120162964},{"id":"https://openalex.org/C486523","wikidata":"https://www.wikidata.org/wiki/Q494483","display_name":"Enantiomer","level":2,"score":0.4880000054836273},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.46700000762939453},{"id":"https://openalex.org/C2778564446","wikidata":"https://www.wikidata.org/wiki/Q2305173","display_name":"Chiral symmetry","level":3,"score":0.4546999931335449},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.450300008058548},{"id":"https://openalex.org/C3141732","wikidata":"https://www.wikidata.org/wiki/Q568761","display_name":"Enantiomeric excess","level":4,"score":0.4032999873161316},{"id":"https://openalex.org/C163845019","wikidata":"https://www.wikidata.org/wiki/Q5101826","display_name":"Chiral anomaly","level":3,"score":0.37720000743865967},{"id":"https://openalex.org/C2779729123","wikidata":"https://www.wikidata.org/wiki/Q5135357","display_name":"Closed system (control theory)","level":2,"score":0.36890000104904175},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.35920000076293945},{"id":"https://openalex.org/C44228677","wikidata":"https://www.wikidata.org/wiki/Q181898","display_name":"Polymerization","level":3,"score":0.35499998927116394},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34389999508857727},{"id":"https://openalex.org/C2779463233","wikidata":"https://www.wikidata.org/wiki/Q5101832","display_name":"Chiral model","level":2,"score":0.3312999904155731},{"id":"https://openalex.org/C124589349","wikidata":"https://www.wikidata.org/wiki/Q3726376","display_name":"Configuration entropy","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C146888428","wikidata":"https://www.wikidata.org/wiki/Q903478","display_name":"Homochirality","level":3,"score":0.30219998955726624},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C65494353","wikidata":"https://www.wikidata.org/wiki/Q180241","display_name":"Internal energy","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26489999890327454},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2554999887943268},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.2524000108242035}],"mesh":[{"descriptor_ui":"D002384","descriptor_name":"Catalysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008956","descriptor_name":"Models, Chemical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011108","descriptor_name":"Polymers","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true},{"descriptor_ui":"D013237","descriptor_name":"Stereoisomerism","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1039/c0cp00992j","doi":"https://doi.org/10.1039/c0cp00992j","is_oa":false,"landing_page_url":"https://doi.org/10.1039/c0cp00992j","pdf_url":null,"source":{"id":"https://openalex.org/S181332294","display_name":"Physical Chemistry Chemical Physics","issn_l":"1463-9076","issn":["1463-9076","1463-9084"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-3","ki-jl-1","medline","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320556","host_organization_name":"Royal Society of Chemistry","host_organization_lineage":["https://openalex.org/P4310320556"],"host_organization_lineage_names":["Royal Society of Chemistry"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Phys. Chem. Chem. Phys.","raw_type":"journal-article"},{"id":"pmid:21057681","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21057681","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,"listed_in":[],"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":"Physical chemistry chemical physics : PCCP","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1104.2225","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.2225","pdf_url":"https://arxiv.org/pdf/1104.2225","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.1104.2225","doi":"https://doi.org/10.48550/arxiv.1104.2225","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1104.2225","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1104.2225","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.2225","pdf_url":"https://arxiv.org/pdf/1104.2225","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":[{"id":"https://openalex.org/G3556161775","display_name":null,"funder_award_id":"AYA2009-13920-C02-01","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":null},{"id":"https://openalex.org/F4320326574","display_name":"Instituto Nacional de T\u00e9cnica Aeroespacial","ror":"https://ror.org/02m44ak47"},{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2949813504.pdf","grobid_xml":"https://content.openalex.org/works/W2949813504.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1510564620","https://openalex.org/W1590304060","https://openalex.org/W1654101816","https://openalex.org/W1971418244","https://openalex.org/W1971512056","https://openalex.org/W1976769888","https://openalex.org/W1977974923","https://openalex.org/W1982849697","https://openalex.org/W1984595210","https://openalex.org/W1984920702","https://openalex.org/W1990294488","https://openalex.org/W1995843537","https://openalex.org/W1997187641","https://openalex.org/W1998965263","https://openalex.org/W2007792224","https://openalex.org/W2009173404","https://openalex.org/W2012089630","https://openalex.org/W2013872595","https://openalex.org/W2017740374","https://openalex.org/W2020177295","https://openalex.org/W2026033901","https://openalex.org/W2026603109","https://openalex.org/W2026655238","https://openalex.org/W2040204149","https://openalex.org/W2046782977","https://openalex.org/W2052160329","https://openalex.org/W2052988237","https://openalex.org/W2057284722","https://openalex.org/W2068883075","https://openalex.org/W2070442918","https://openalex.org/W2071581957","https://openalex.org/W2086126894","https://openalex.org/W2099542709","https://openalex.org/W2109369115","https://openalex.org/W2114085632","https://openalex.org/W2116397047","https://openalex.org/W2129642562","https://openalex.org/W2134618805","https://openalex.org/W2157278627","https://openalex.org/W2317171544","https://openalex.org/W2343212486","https://openalex.org/W2949736301","https://openalex.org/W2992726982","https://openalex.org/W3037785936","https://openalex.org/W3101040074","https://openalex.org/W3103411627","https://openalex.org/W4211135297"],"related_works":["https://openalex.org/W2007792224","https://openalex.org/W3101040074","https://openalex.org/W2569862752","https://openalex.org/W1995843537","https://openalex.org/W2129642562","https://openalex.org/W1626629536","https://openalex.org/W6922053056","https://openalex.org/W2317148090","https://openalex.org/W1654101816","https://openalex.org/W2952651397"],"abstract_inverted_index":{"We":[0,94],"solve":[1],"numerically":[2],"a":[3,47,110],"kinetic":[4],"model":[5],"of":[6,52,89,119],"chiral":[7,73,83,121],"polymerization":[8],"in":[9,61,71,85,116],"systems":[10],"closed":[11],"to":[12,20,23,31,43,81,109],"matter":[13],"and":[14,34,104],"energy":[15],"flow,":[16],"paying":[17],"special":[18],"attention":[19],"its":[21],"ability":[22],"amplify":[24],"the":[25,32,53,86,90,97,117,120],"small":[26],"initial":[27],"enantiomeric":[28,87],"excesses":[29,88],"due":[30],"internal":[33],"unavoidable":[35],"statistical":[36],"fluctuations.":[37],"The":[38,64],"reaction":[39],"steps":[40],"are":[41],"assumed":[42],"be":[44],"reversible,":[45],"implying":[46],"thermodynamic":[48],"constraint":[49],"among":[50],"some":[51],"rate":[54],"constants.":[55],"Absolute":[56],"asymmetric":[57,74],"synthesis":[58],"is":[59],"achieved":[60],"this":[62],"scheme.":[63],"system":[65],"can":[66],"persist":[67],"for":[68],"long":[69],"times":[70],"quasi-stationary":[72],"states":[75],"before":[76,114],"racemizing.":[77],"Strong":[78],"inhibition":[79],"leads":[80],"long-period":[82],"oscillations":[84],"longest":[91],"homopolymer":[92],"chains.":[93],"also":[95],"calculate":[96],"entropy":[98],"production":[99],"\u03c3":[100,107],"per":[101],"unit":[102],"volume":[103],"show":[105],"that":[106],"increases":[108],"peak":[111],"value":[112],"either":[113],"or":[115],"vicinity":[118],"symmetry":[122],"breaking":[123],"transition.":[124]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2019-06-27T00:00:00"}