{"id":"https://openalex.org/W4379033952","doi":"https://doi.org/10.1109/lcsys.2023.3282174","title":"A Controlled Mean Field Model for Chiplet Population Dynamics","display_name":"A Controlled Mean Field Model for Chiplet Population Dynamics","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4379033952","doi":"https://doi.org/10.1109/lcsys.2023.3282174"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2023.3282174","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2023.3282174","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021159806","display_name":"Iman Nodozi","orcid":"https://orcid.org/0009-0006-9407-8934"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Iman Nodozi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at Santa Cruz, Santa Cruz, CA, USA"],"raw_orcid":"https://orcid.org/0009-0006-9407-8934","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Santa Cruz, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029714029","display_name":"Abhishek Halder","orcid":"https://orcid.org/0000-0002-1509-5853"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abhishek Halder","raw_affiliation_strings":["Department of Applied Mathematics, University of California at Santa Cruz, Santa Cruz, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-1509-5853","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of California at Santa Cruz, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031818939","display_name":"Ion Matei","orcid":"https://orcid.org/0000-0001-5555-8130"},"institutions":[{"id":"https://openalex.org/I173498003","display_name":"Palo Alto Research Center","ror":"https://ror.org/0529fxt39","country_code":"US","type":"facility","lineage":["https://openalex.org/I173498003","https://openalex.org/I4210132870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ion Matei","raw_affiliation_strings":["Department of Engineering, Palo Alto Research Center, Inc., Palo Alto, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-5555-8130","affiliations":[{"raw_affiliation_string":"Department of Engineering, Palo Alto Research Center, Inc., Palo Alto, CA, USA","institution_ids":["https://openalex.org/I173498003"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06441718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"1825","last_page":"1830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11255","display_name":"Microfluidic and Bio-sensing Technologies","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11255","display_name":"Microfluidic and Bio-sensing Technologies","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.9966999888420105,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6521719694137573},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5594038367271423},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.545886754989624},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4518449306488037},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.43750569224357605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43532028794288635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43168407678604126},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4147907495498657},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.35060203075408936},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33592653274536133},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07584604620933533}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6521719694137573},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5594038367271423},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.545886754989624},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4518449306488037},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.43750569224357605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43532028794288635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43168407678604126},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4147907495498657},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35060203075408936},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33592653274536133},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07584604620933533},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2023.3282174","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lcsys.2023.3282174","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W182704713","https://openalex.org/W327409173","https://openalex.org/W1522579744","https://openalex.org/W1569313452","https://openalex.org/W1585160083","https://openalex.org/W1974147190","https://openalex.org/W2017992740","https://openalex.org/W2065172718","https://openalex.org/W2244159800","https://openalex.org/W2278678287","https://openalex.org/W2315628136","https://openalex.org/W2612241113","https://openalex.org/W2734691659","https://openalex.org/W2943877165","https://openalex.org/W2962842099","https://openalex.org/W2963241052","https://openalex.org/W2988326897","https://openalex.org/W3011428231","https://openalex.org/W3120367366","https://openalex.org/W3129947101","https://openalex.org/W3194468394","https://openalex.org/W3199207211","https://openalex.org/W4210276568","https://openalex.org/W4226188608","https://openalex.org/W4230008158","https://openalex.org/W4230058301","https://openalex.org/W4233762729","https://openalex.org/W4238209390","https://openalex.org/W4287015853","https://openalex.org/W4300093168","https://openalex.org/W4382935868","https://openalex.org/W6774632908","https://openalex.org/W6800382159","https://openalex.org/W6843394564"],"related_works":["https://openalex.org/W3033558109","https://openalex.org/W2423429665","https://openalex.org/W2009015666","https://openalex.org/W1972099280","https://openalex.org/W2054562784","https://openalex.org/W1979119178","https://openalex.org/W2067404540","https://openalex.org/W1551797393","https://openalex.org/W3148830930","https://openalex.org/W2077366804"],"abstract_inverted_index":{"In":[0],"micro-assembly":[1],"applications,":[2],"ensemble":[3],"of":[4,20,48,54,75,84,90,111,131],"chiplets":[5],"immersed":[6],"in":[7,30,51],"a":[8,40,46,55,112,125],"dielectric":[9],"fluid":[10],"are":[11,87,141],"steered":[12],"using":[13],"dielectrophoretic":[14],"forces":[15,68],"induced":[16],"by":[17],"an":[18],"array":[19],"electrode":[21,92],"population.":[22],"Generalizing":[23],"the":[24,52,66,91,98,107,121,129,144],"finite":[25,137],"population":[26,50,133],"deterministic":[27],"models":[28],"proposed":[29,62],"prior":[31],"works":[32],"for":[33,45,65],"individual":[34],"chiplet":[35,49],"position":[36,145],"dynamics,":[37],"we":[38],"derive":[39],"controlled":[41],"mean":[42,100],"field":[43,101],"model":[44,63],"continuum":[47],"form":[53],"nonlocal,":[56],"nonlinear":[57,88],"partial":[58],"differential":[59],"equation.":[60],"The":[61],"accounts":[64],"stochastic":[67],"as":[69,71,106],"well":[70],"two":[72],"different":[73],"types":[74],"nonlocal":[76],"interactions,":[77],"viz.":[78],"chiplet-to-chiplet":[79],"and":[80],"chiplet-to-electrode":[81],"interactions.":[82],"Both":[83],"these":[85],"interactions":[86],"functions":[89,135],"voltage":[93],"input.":[94],"We":[95],"prove":[96],"that":[97,140],"deduced":[99],"evolution":[102],"can":[103],"be":[104],"expressed":[105],"Wasserstein":[108],"gradient":[109,126],"flow":[110],"Lyapunov-like":[113],"energy":[114],"functional.":[115],"With":[116],"respect":[117],"to":[118],"this":[119],"functional,":[120],"resulting":[122],"dynamics":[123],"is":[124],"descent":[127],"on":[128,143],"manifold":[130],"joint":[132],"density":[134],"with":[136],"second":[138],"moments":[139],"supported":[142],"coordinates.":[146]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
