{"id":"https://openalex.org/W7220437256","doi":"https://doi.org/10.48550/arxiv.2610.03180","title":"Probing fluctuating hydrodynamics through current fluctuations in hard rod gas","display_name":"Probing fluctuating hydrodynamics through current fluctuations in hard rod gas","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220437256","doi":"https://doi.org/10.48550/arxiv.2610.03180"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.03180","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03180","pdf_url":"https://arxiv.org/pdf/2610.03180","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"},"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/2610.03180","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157558717","display_name":"Tirthankar Mondal","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210090503","display_name":"International Centre for Theoretical Sciences","ror":"https://ror.org/0015qa126","country_code":"IN","type":"facility","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468","https://openalex.org/I4210090503"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mondal, Tirthankar","raw_affiliation_strings":["in) International Centre for Theoretical Sciences , TIFR , Bengaluru - 560089 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"in) International Centre for Theoretical Sciences , TIFR , Bengaluru - 560089 , India","institution_ids":["https://openalex.org/I4210090503"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106343120","display_name":"Indranil Mukherjee","orcid":"https://orcid.org/0009-0002-5988-9687","observed_orcids":["https://orcid.org/0009-0002-5988-9687"]},"institutions":[{"id":"https://openalex.org/I4210090503","display_name":"International Centre for Theoretical Sciences","ror":"https://ror.org/0015qa126","country_code":"IN","type":"facility","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468","https://openalex.org/I4210090503"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mukherjee, Indranil","raw_affiliation_strings":["in) International Centre for Theoretical Sciences , TIFR , Bengaluru - 560089 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"in) International Centre for Theoretical Sciences , TIFR , Bengaluru - 560089 , India","institution_ids":["https://openalex.org/I4210090503"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018566359","display_name":"Anupam Kundu","orcid":"https://orcid.org/0000-0003-0694-6676","observed_orcids":["https://orcid.org/0000-0003-0694-6676"]},"institutions":[{"id":"https://openalex.org/I4210090503","display_name":"International Centre for Theoretical Sciences","ror":"https://ror.org/0015qa126","country_code":"IN","type":"facility","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468","https://openalex.org/I4210090503"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kundu, Anupam","raw_affiliation_strings":[") International Centre for Theoretical Sciences , TIFR , Bengaluru - 560089 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":") International Centre for Theoretical Sciences , TIFR , Bengaluru - 560089 , India","institution_ids":["https://openalex.org/I4210090503"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210090503"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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":0.8003000020980835,"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":0.8003000020980835,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.14030000567436218,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.01600000075995922,"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/fluctuating-hydrodynamics","display_name":"fluctuating hydrodynamics","score":0.8960000276565552},{"id":"https://openalex.org/keywords/full-counting-statistics","display_name":"full counting statistics","score":0.9520000219345093},{"id":"https://openalex.org/keywords/current-noise","display_name":"current fluctuations","score":0.7900000214576721},{"id":"https://openalex.org/keywords/correlated-brownian-motions","display_name":"correlated Brownian motions","score":0.7940000295639038},{"id":"https://openalex.org/keywords/large-deviations","display_name":"large deviations","score":0.8659999966621399},{"id":"https://openalex.org/keywords/rate-function","display_name":"rate function","score":0.8740000128746033},{"id":"https://openalex.org/keywords/current-cumulants","display_name":"current cumulants","score":0.9919999837875366}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7515000104904175},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6945000290870667},{"id":"https://openalex.org/C172686274","wikidata":"https://www.wikidata.org/wiki/Q746007","display_name":"Cumulant","level":2,"score":0.6873999834060669},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6647999882698059},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.637499988079071},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6328999996185303},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5543000102043152},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4603999853134155},{"id":"https://openalex.org/C136479403","wikidata":"https://www.wikidata.org/wiki/Q1047683","display_name":"Quasiparticle","level":3,"score":0.42879998683929443},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4262999892234802},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.39250001311302185},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.38940000534057617},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.36149999499320984},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.34709998965263367},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3467999994754791},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3440000116825104},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.33640000224113464},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.33309999108314514},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.32440000772476196},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C53622274","wikidata":"https://www.wikidata.org/wiki/Q2496679","display_name":"Correlation function (quantum field theory)","level":3,"score":0.267300009727478},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2662999927997589},{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.26159998774528503},{"id":"https://openalex.org/C2777317252","wikidata":"https://www.wikidata.org/wiki/Q18393516","display_name":"Rare events","level":2,"score":0.2606000006198883},{"id":"https://openalex.org/C48057537","wikidata":"https://www.wikidata.org/wiki/Q3551145","display_name":"Statistical theory","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C2781288168","wikidata":"https://www.wikidata.org/wiki/Q6840037","display_name":"Microscopic theory","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2547999918460846},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C130603088","wikidata":"https://www.wikidata.org/wiki/Q4976526","display_name":"Brownian dynamics","level":3,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.03180","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03180","pdf_url":"https://arxiv.org/pdf/2610.03180","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.2610.03180","doi":"https://doi.org/10.48550/arxiv.2610.03180","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.03180","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.03180","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03180","pdf_url":"https://arxiv.org/pdf/2610.03180","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/G4459151492","display_name":null,"funder_award_id":"RTI4001","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320306227","display_name":"Arthritis National Research Foundation","ror":"https://ror.org/03abbex33"},{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220437256.pdf","grobid_xml":"https://content.openalex.org/works/W7220437256.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W7168865164","https://openalex.org/W7201843268"],"related_works":["https://openalex.org/W7202347350","https://openalex.org/W6979221389","https://openalex.org/W4405891943","https://openalex.org/W4385276769","https://openalex.org/W1976781715","https://openalex.org/W7161272602","https://openalex.org/W1994521259","https://openalex.org/W2312983752","https://openalex.org/W4416248323","https://openalex.org/W1862891154"],"abstract_inverted_index":{"We":[0,46,65,108,140,172],"study":[1],"the":[2,7,49,61,70,87,111,115,129,147,152,164,175,178,194,212,223,229],"full":[3,232],"counting":[4,233],"statistics":[5,113],"of":[6,42,51,163,177,184,193,196,231],"integrated":[8],"current":[9,71,103,112,130,209],"in":[10,15,98,137,156,211,219,228],"a":[11,74,134,182],"one-dimensional":[12],"hard-rod":[13,43,166,197,213],"gas":[14],"equilibrium,":[16],"employing":[17],"two":[18,53],"recently":[19],"proposed":[20],"fluctuating":[21,33],"hydrodynamic":[22,34],"frameworks:":[23],"(i)":[24],"Ballistic":[25],"Macroscopic":[26],"Fluctuation":[27],"Theory":[28],"(BMFT)":[29],"and":[30,59,80,123,126,151],"(ii)":[31],"diffusive":[32],"theory":[35],"based":[36],"on":[37],"correlated":[38,185],"Brownian":[39,186],"motion":[40],"approximation":[41],"quasiparticles":[44],"(CBFHD).":[45],"investigate":[47],"how":[48],"predictions":[50,145,176,218],"these":[52],"approaches":[54],"compare":[55],"with":[56,60,159,222],"each":[57],"other":[58],"underlying":[62],"microscopic":[63,165,224],"dynamics.":[64],"show":[66],"within":[67,114],"BMFT":[68,144,216],"that":[69,128,202],"distribution":[72,131],"admits":[73],"large-deviation":[75,88,135],"form":[76],"under":[77],"ballistic":[78],"scaling,":[79],"we":[81],"derive":[82],"an":[83,92,190],"explicit":[84],"expression":[85],"for":[86,91,146],"function,":[89],"valid":[90],"arbitrary":[93],"inhomogeneous":[94],"initial":[95],"state":[96],"factorized":[97],"point-particle":[99],"coordinates.":[100],"The":[101],"corresponding":[102],"cumulants":[104,150],"are":[105,155],"also":[106],"obtained.":[107],"subsequently":[109],"analyze":[110],"CBFHD":[116,168,179,203],"framework,":[117],"which":[118,188],"explicitly":[119],"incorporates":[120],"stochastic":[121],"noise":[122],"dissipative":[124],"terms,":[125],"demonstrate":[127],"likewise":[132],"obeys":[133],"principle":[136],"this":[138],"approach.":[139],"find":[141],"that,":[142],"while":[143],"first":[148],"few":[149],"rate":[153],"function":[154],"excellent":[157],"agreement":[158,221],"direct":[160],"numerical":[161],"simulations":[162],"dynamics,":[167,225],"prediction":[169],"is":[170],"not.":[171],"further":[173],"verify":[174],"independently":[180],"using":[181],"collection":[183],"motions,":[187],"provides":[189],"approximate":[191],"description":[192],"dynamics":[195],"quasiparticles.":[198],"Our":[199],"findings":[200],"indicate":[201],"does":[204],"not":[205],"accurately":[206],"capture":[207],"large-scale":[208],"fluctuations":[210],"gas,":[214],"whereas":[215],"yields":[217],"quantitative":[220],"at":[226],"least":[227],"context":[230],"statistics.":[234]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-06T00:00:00"}