{"id":"https://openalex.org/W1920033904","doi":"https://doi.org/10.1039/c5sm01792k","title":"A theory for the phase behavior of mixtures of active particles","display_name":"A theory for the phase behavior of mixtures of active particles","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1920033904","doi":"https://doi.org/10.1039/c5sm01792k","mag":"1920033904","pmid":"https://pubmed.ncbi.nlm.nih.gov/26323207"},"language":"en","primary_location":{"id":"doi:10.1039/c5sm01792k","doi":"https://doi.org/10.1039/c5sm01792k","is_oa":true,"landing_page_url":"https://doi.org/10.1039/c5sm01792k","pdf_url":"https://pubs.rsc.org/en/content/articlepdf/2015/sm/c5sm01792k","source":{"id":"https://openalex.org/S6377669","display_name":"Soft Matter","issn_l":"1744-683X","issn":["1744-683X","1744-6848"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","medline","norway-2","poland-100","russia-white-list-1","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Matter","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://pubs.rsc.org/en/content/articlepdf/2015/sm/c5sm01792k","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041607321","display_name":"Sho C. Takatori","orcid":"https://orcid.org/0000-0002-7839-3399","observed_orcids":["https://orcid.org/0000-0002-7839-3399"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sho C. Takatori","raw_affiliation_strings":["California Institute of Technology","Division of Chemistry and Chemical Engineering","Pasadena, CA 91125 USA","Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125 (USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Chemistry and Chemical Engineering","institution_ids":[]},{"raw_affiliation_string":"Pasadena, CA 91125 USA","institution_ids":[]},{"raw_affiliation_string":"Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125 (USA)","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027454138","display_name":"John F. Brady","orcid":"https://orcid.org/0000-0001-5817-9128","observed_orcids":["https://orcid.org/0000-0001-5817-9128"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John F. Brady","raw_affiliation_strings":["California Institute of Technology","Division of Chemistry and Chemical Engineering","Pasadena, CA 91125 USA","Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125 (USA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of Chemistry and Chemical Engineering","institution_ids":[]},{"raw_affiliation_string":"Pasadena, CA 91125 USA","institution_ids":[]},{"raw_affiliation_string":"Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125 (USA)","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027454138"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":4.7999,"has_fulltext":true,"cited_by_count":76,"citation_normalized_percentile":{"value":0.95933091,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"11","issue":"40","first_page":"7920","last_page":"7931"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.9208999872207642,"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/T11486","display_name":"Micro and Nano Robotics","score":0.9208999872207642,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.06920000165700912,"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/T10492","display_name":"Microtubule and mitosis dynamics","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/active-matter","display_name":"active matter","score":0.9959999918937683},{"id":"https://openalex.org/keywords/self-propelled-particles","display_name":"self-propelled particles","score":0.8889999985694885},{"id":"https://openalex.org/keywords/active-passive-mixtures","display_name":"active-passive mixtures","score":0.7710000276565552},{"id":"https://openalex.org/keywords/phase-behavior","display_name":"phase behavior","score":0.8240000009536743},{"id":"https://openalex.org/keywords/equation-of-state","display_name":"equation of state","score":0.6930000185966492},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"phase diagram","score":0.7839999794960022},{"id":"https://openalex.org/keywords/chemical-potential","display_name":"chemical potential","score":0.8220000267028809},{"id":"https://openalex.org/keywords/free-energy","display_name":"free energy","score":0.9829999804496765},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"non-equilibrium thermodynamics","score":0.9010000228881836},{"id":"https://openalex.org/keywords/stability-criteria","display_name":"stability criteria","score":0.7200000286102295},{"id":"https://openalex.org/keywords/brownian-particles","display_name":"Brownian particles","score":0.6769999861717224},{"id":"https://openalex.org/keywords/mechanical-theory","display_name":"mechanical theory","score":0.6019999980926514}],"concepts":[{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.788506031036377},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.7082472443580627},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.6743990182876587},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.5700992345809937},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5691011548042297},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5666537284851074},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.5605489015579224},{"id":"https://openalex.org/C48620588","wikidata":"https://www.wikidata.org/wiki/Q902144","display_name":"Soft matter","level":3,"score":0.492501825094223},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.48427218198776245},{"id":"https://openalex.org/C2775993382","wikidata":"https://www.wikidata.org/wiki/Q4677565","display_name":"Active matter","level":2,"score":0.4472106099128723},{"id":"https://openalex.org/C59789625","wikidata":"https://www.wikidata.org/wiki/Q181780","display_name":"Colloid","level":2,"score":0.3963859975337982},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.3751257658004761},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.35749590396881104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3488873243331909},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.289816677570343},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.16119331121444702},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10600906610488892},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C95444343","wikidata":"https://www.wikidata.org/wiki/Q7141","display_name":"Cell biology","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","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":true},{"descriptor_ui":"D010316","descriptor_name":"Particle Size","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013696","descriptor_name":"Temperature","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013816","descriptor_name":"Thermodynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1039/c5sm01792k","doi":"https://doi.org/10.1039/c5sm01792k","is_oa":true,"landing_page_url":"https://doi.org/10.1039/c5sm01792k","pdf_url":"https://pubs.rsc.org/en/content/articlepdf/2015/sm/c5sm01792k","source":{"id":"https://openalex.org/S6377669","display_name":"Soft Matter","issn_l":"1744-683X","issn":["1744-683X","1744-6848"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","medline","norway-2","poland-100","russia-white-list-1","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Matter","raw_type":"journal-article"},{"id":"pmid:26323207","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26323207","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":"Soft matter","raw_type":"Journal Article"},{"id":"pmh:oai:authors.library.caltech.edu:60092","doi":null,"is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20150908-133503718","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1039/c5sm01792k","doi":"https://doi.org/10.1039/c5sm01792k","is_oa":true,"landing_page_url":"https://doi.org/10.1039/c5sm01792k","pdf_url":"https://pubs.rsc.org/en/content/articlepdf/2015/sm/c5sm01792k","source":{"id":"https://openalex.org/S6377669","display_name":"Soft Matter","issn_l":"1744-683X","issn":["1744-683X","1744-6848"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","medline","norway-2","poland-100","russia-white-list-1","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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Matter","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3015164080","display_name":"The Pressure of Active Matter","funder_award_id":"1437570","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5131637254","display_name":null,"funder_award_id":"1437570","funder_id":"https://openalex.org/F4320337390","funder_display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems"},{"id":"https://openalex.org/G7012687657","display_name":"Graduate Research Fellowship Program (GRFP)","funder_award_id":"1144469","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/F4320337390","display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems","ror":"https://ror.org/0471zv972"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1920033904.pdf","grobid_xml":"https://content.openalex.org/works/W1920033904.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1879458025","https://openalex.org/W1884569697","https://openalex.org/W1954810786","https://openalex.org/W1970976885","https://openalex.org/W1973449286","https://openalex.org/W1992781514","https://openalex.org/W1999116645","https://openalex.org/W2001409136","https://openalex.org/W2006628332","https://openalex.org/W2023952789","https://openalex.org/W2038953393","https://openalex.org/W2042898119","https://openalex.org/W2055674605","https://openalex.org/W2055855363","https://openalex.org/W2058488649","https://openalex.org/W2074291204","https://openalex.org/W2075860381","https://openalex.org/W2076797206","https://openalex.org/W2084886165","https://openalex.org/W2091968362","https://openalex.org/W2105218727","https://openalex.org/W2114196894","https://openalex.org/W2133730441","https://openalex.org/W2134398909","https://openalex.org/W2144921382","https://openalex.org/W2147833802","https://openalex.org/W2154575853","https://openalex.org/W2277522875","https://openalex.org/W4255291503"],"related_works":["https://openalex.org/W2091968362","https://openalex.org/W4415926392","https://openalex.org/W1801675255","https://openalex.org/W2913663338","https://openalex.org/W3016212938","https://openalex.org/W6946270363","https://openalex.org/W2758174927","https://openalex.org/W4321212696","https://openalex.org/W2955711716","https://openalex.org/W6983470566"],"abstract_inverted_index":{"Systems":[0],"at":[1],"equilibrium":[2],"like":[3,57,132],"molecular":[4],"or":[5,24],"colloidal":[6],"suspensions":[7],"have":[8],"a":[9,45,64,76,124,140],"well-defined":[10],"thermal":[11],"energy":[12,19,138],"kBT":[13],"that":[14,105,147],"quantifies":[15],"the":[16,26,42,70,97,103,119,133],"particles'":[17],"kinetic":[18],"and":[20,48,73,86,102,127,136,161,171],"gauges":[21],"how":[22],"\"hot\"":[23],"\"cold\"":[25],"system":[27,93],"is.":[28],"For":[29],"systems":[30],"far":[31],"from":[32],"equilibrium,":[33],"such":[34],"as":[35],"active":[36,84,100],"matter,":[37],"it":[38],"is":[39,90],"unclear":[40],"whether":[41,49],"concept":[43],"of":[44,54,75,78,83,96,99,116,142,166],"\"temperature\"":[46,74],"exists":[47],"self-propelled":[50,79],"entities":[51],"are":[52,168],"capable":[53],"thermally":[55],"equilibrating":[56],"passive":[58,87],"Brownian":[59,88],"suspensions.":[60],"Here":[61],"we":[62],"develop":[63],"simple":[65],"mechanical":[66],"theory":[67],"to":[68,122,128],"study":[69],"phase":[71,125,155],"behavior":[72],"mixture":[77,82,121,141],"particles.":[80],"A":[81],"swimmers":[85],"particles":[89],"an":[91,113],"ideal":[92],"for":[94,118,139],"discovery":[95],"temperature":[98],"matter":[101],"quantities":[104],"get":[106],"shared":[107],"upon":[108],"particle":[109],"collisions.":[110],"We":[111,145],"derive":[112],"explicit":[114],"equation":[115],"state":[117],"active/passive":[120],"compute":[123],"diagram":[126],"generalize":[129],"thermodynamic":[130],"concepts":[131],"chemical":[134],"potential":[135],"free":[137],"nonequilibrium":[143],"species.":[144],"find":[146],"different":[148,154],"stability":[149],"criteria":[150],"predict":[151],"in":[152,159],"general":[153],"boundaries,":[156],"facilitating":[157],"considerations":[158],"simulations":[160],"experiments":[162],"about":[163],"which":[164],"ensemble":[165],"variables":[167],"held":[169],"fixed":[170],"varied.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":9}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
