{"id":"https://openalex.org/W7204766532","doi":"https://doi.org/10.48550/arxiv.2608.28041","title":"Mechanics and statistics of a solvable model of an autophoretic colloidal chain","display_name":"Mechanics and statistics of a solvable model of an autophoretic colloidal chain","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7204766532","doi":"https://doi.org/10.48550/arxiv.2608.28041"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.28041","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28041","pdf_url":"https://arxiv.org/pdf/2608.28041","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.28041","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000518422","display_name":"Arvin Gopal Subramaniam","orcid":"https://orcid.org/0009-0003-6478-7375","observed_orcids":["https://orcid.org/0009-0003-6478-7375"]},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Subramaniam, Arvin Gopal","raw_affiliation_strings":["Center for Soft and Biological Matter , IIT Madras , Chennai , India","Department of Physics , Indian Institute of Technology Madras , Chennai , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Soft and Biological Matter , IIT Madras , Chennai , India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Physics , Indian Institute of Technology Madras , Chennai , India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5148144581","display_name":"Rajesh Singh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Singh, Rajesh","raw_affiliation_strings":["Center for Soft and Biological Matter , IIT Madras , Chennai , India","Department of Physics , Indian Institute of Technology Madras , Chennai , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Soft and Biological Matter , IIT Madras , Chennai , India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Physics , Indian Institute of Technology Madras , Chennai , India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I24676775"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9526000022888184,"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"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9526000022888184,"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/T11486","display_name":"Micro and Nano Robotics","score":0.04089999943971634,"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/T10492","display_name":"Microtubule and mitosis dynamics","score":0.00039999998989515007,"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/far-from-equilibrium-dynamics","display_name":"far-from-equilibrium dynamics","score":0.8080000281333923},{"id":"https://openalex.org/keywords/detailed-balance","display_name":"detailed balance","score":0.6959999799728394},{"id":"https://openalex.org/keywords/orientational-fluctuations","display_name":"orientational fluctuations","score":0.7459999918937683},{"id":"https://openalex.org/keywords/dipole-dipole-interaction","display_name":"dipole-dipole interaction","score":0.9419999718666077},{"id":"https://openalex.org/keywords/active-matter","display_name":"active matter","score":0.33399999141693115},{"id":"https://openalex.org/keywords/energy-dissipation","display_name":"energy dissipation","score":0.5649999976158142},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.4099999964237213},{"id":"https://openalex.org/keywords/colloidal-dimers","display_name":"colloidal dimers","score":0.6349999904632568}],"concepts":[{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.663100004196167},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6133000254631042},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.565500020980835},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.5644999742507935},{"id":"https://openalex.org/C135694725","wikidata":"https://www.wikidata.org/wiki/Q1201087","display_name":"Detailed balance","level":2,"score":0.5521000027656555},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5164999961853027},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4740999937057495},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4611999988555908},{"id":"https://openalex.org/C2779716929","wikidata":"https://www.wikidata.org/wiki/Q6827980","display_name":"Micellar solutions","level":4,"score":0.42800000309944153},{"id":"https://openalex.org/C131157278","wikidata":"https://www.wikidata.org/wiki/Q51363","display_name":"Thermodynamic equilibrium","level":2,"score":0.39309999346733093},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.3921999931335449},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.3801000118255615},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.37560001015663147},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.3736000061035156},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3522000014781952},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.350600004196167},{"id":"https://openalex.org/C178201587","wikidata":"https://www.wikidata.org/wiki/Q1434158","display_name":"Fluctuation-dissipation theorem","level":2,"score":0.3476000130176544},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3393000066280365},{"id":"https://openalex.org/C46749446","wikidata":"https://www.wikidata.org/wiki/Q3047157","display_name":"Sedimentation equilibrium","level":3,"score":0.33160001039505005},{"id":"https://openalex.org/C59789625","wikidata":"https://www.wikidata.org/wiki/Q181780","display_name":"Colloid","level":2,"score":0.3287000060081482},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C124589349","wikidata":"https://www.wikidata.org/wiki/Q3726376","display_name":"Configuration entropy","level":2,"score":0.29179999232292175},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2808000147342682},{"id":"https://openalex.org/C2777391479","wikidata":"https://www.wikidata.org/wiki/Q5178040","display_name":"Coupling parameter","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C108585399","wikidata":"https://www.wikidata.org/wiki/Q900831","display_name":"Fluctuation theorem","level":3,"score":0.27730000019073486},{"id":"https://openalex.org/C11268172","wikidata":"https://www.wikidata.org/wiki/Q421110","display_name":"Micelle","level":3,"score":0.27469998598098755},{"id":"https://openalex.org/C73051877","wikidata":"https://www.wikidata.org/wiki/Q189520","display_name":"Chemical equilibrium","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C111663737","wikidata":"https://www.wikidata.org/wiki/Q10860570","display_name":"Equilibrium thermodynamics","level":3,"score":0.26829999685287476},{"id":"https://openalex.org/C33980943","wikidata":"https://www.wikidata.org/wiki/Q898351","display_name":"Identical particles","level":3,"score":0.2623000144958496},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C146867326","wikidata":"https://www.wikidata.org/wiki/Q2914363","display_name":"Structure formation","level":3,"score":0.260699987411499},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C187961010","wikidata":"https://www.wikidata.org/wiki/Q260463","display_name":"Electron paramagnetic resonance","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.28041","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28041","pdf_url":"https://arxiv.org/pdf/2608.28041","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.28041","doi":"https://doi.org/10.48550/arxiv.2608.28041","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.28041","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.28041","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28041","pdf_url":"https://arxiv.org/pdf/2608.28041","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204766532.pdf","grobid_xml":"https://content.openalex.org/works/W7204766532.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W6967185671"],"related_works":["https://openalex.org/W4412864749","https://openalex.org/W4406099602","https://openalex.org/W7155395978","https://openalex.org/W2339074332","https://openalex.org/W4386528659","https://openalex.org/W2254049393","https://openalex.org/W1981237377","https://openalex.org/W2155431592","https://openalex.org/W7204205924","https://openalex.org/W2889484744"],"abstract_inverted_index":{"Equilibrium":[0],"statistical":[1],"mechanics":[2],"owes":[3],"much":[4],"of":[5,19,28,36,41,54,81,171],"its":[6],"analytical":[7],"tractability":[8],"to":[9],"symmetry:":[10],"detailed":[11,92],"balance,":[12],"gradient":[13],"flows,":[14],"and":[15,128,138,147,154,186,225,238],"the":[16,26,29,37,78,97,101,105,122,144,148,162,169,182,189,241,248],"resulting":[17],"vanishing":[18],"steady-state":[20,110],"entropy":[21,111],"production":[22,112],"follow":[23],"directly":[24],"from":[25,33,47,88,177],"structure":[27,191,250],"underlying":[30],"dynamics,":[31],"not":[32],"any":[34],"smallness":[35],"driving.":[38],"Exact":[39],"solutions":[40],"this":[42,118,132],"kind":[43],"are":[44,86],"rare":[45],"away":[46],"equilibrium.":[48],"Here":[49],"we":[50],"identify":[51],"a":[52,89,255],"class":[53],"far-from-equilibrium":[55],"active":[56],"colloidal":[57],"chains":[58,199],"--":[59,66,175,185],"coupled":[60],"via":[61],"roto-translational,":[62],"autophoretic":[63],"(monopolar)":[64],"interactions":[65],"that":[67,156,188,228],"admit":[68],"an":[69,226],"exact":[70],"quasi":[71],"equilibrium":[72,106,190],"description:":[73],"at":[74,181],"fixed":[75,223],"chain":[76],"geometry,":[77],"orientational":[79,98,145],"equations":[80],"motion":[82],"for":[83,117,136,140,194,197,240],"every":[84],"monomer":[85,183],"derivable":[87],"scalar":[90],"potential,":[91],"balance":[93],"holds":[94,192],"exactly":[95,135,193],"in":[96,151],"sector,":[99,119],"while":[100],"positional":[102],"sector":[103],"breaks":[104,247],"structure.":[107],"The":[108],"associated":[109],"rate":[113],"(EPR)":[114],"vanishes":[115],"identically":[116],"even":[120],"though":[121],"full":[123],"system":[124],"is":[125,159,203],"manifestly":[126],"driven":[127],"dissipative.":[129],"We":[130,166],"solve":[131],"reduced":[133],"dynamics":[134],"dimers":[137],"semi-analytically":[139],"general":[141],"$N$-mers,":[142],"obtain":[143],"fluctuations":[146],"full-system":[149],"EPR":[150,227],"closed":[152],"form,":[153],"show":[155],"all":[157],"dissipation":[158],"carried":[160],"by":[161],"translational":[163],"(center-of-mass)":[164],"sector.":[165],"further":[167],"examine":[168],"effect":[170],"dipolar":[172,207,244],"chemical":[173],"emission":[174],"expected":[176],"asymmetric":[178],"micelle":[179],"deposition":[180],"scale":[184],"find":[187],"dimers,":[195],"whereas":[196],"longer":[198],"no":[200,215,222],"such":[201],"description":[202],"possible.":[204],"A":[205],"purely":[206],"coupling":[208,235,245],"instead":[209],"producesa":[210],"genuinely":[211],"non-equilibrium":[212],"state":[213],"with":[214,221,254],"static":[216,257],"attractor,":[217],"sustaining":[218],"non-monotonic":[219],"drift":[220],"limit,":[224],"itself":[229],"never":[230],"reaches":[231],"steady":[232],"state.":[233],"Monopolar":[234],"remains":[236],"necessary":[237],"sufficient":[239],"polarized":[242],"state;":[243],"alone":[246],"quasi-equilibrium":[249],"without":[251],"replacing":[252],"it":[253],"new":[256],"one.":[258]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-01T00:00:00"}
