{"id":"https://openalex.org/W2042467984","doi":"https://doi.org/10.1103/physreve.80.031130","title":"Dissipative dynamics of a harmonic oscillator: A nonperturbative approach","display_name":"Dissipative dynamics of a harmonic oscillator: A nonperturbative approach","publication_year":2009,"publication_date":"2009-09-22","ids":{"openalex":"https://openalex.org/W2042467984","doi":"https://doi.org/10.1103/physreve.80.031130","mag":"2042467984","pmid":"https://pubmed.ncbi.nlm.nih.gov/19905085"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.80.031130","doi":"https://doi.org/10.1103/physreve.80.031130","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.80.031130","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","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/0903.4273","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026136841","display_name":"Jishad Kumar","orcid":"https://orcid.org/0000-0002-4153-1495","observed_orcids":["https://orcid.org/0000-0002-4153-1495"]},"institutions":[{"id":"https://openalex.org/I127439422","display_name":"Indian Institute of Science Education and Research Kolkata","ror":"https://ror.org/00djv2c17","country_code":"IN","type":"education","lineage":["https://openalex.org/I127439422"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jishad Kumar","raw_affiliation_strings":["Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Mohanpur 741252, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Mohanpur 741252, India","institution_ids":["https://openalex.org/I127439422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050483101","display_name":"Subhasis Sinha","orcid":"https://orcid.org/0000-0001-6227-6270","observed_orcids":["https://orcid.org/0000-0001-6227-6270"]},"institutions":[{"id":"https://openalex.org/I127439422","display_name":"Indian Institute of Science Education and Research Kolkata","ror":"https://ror.org/00djv2c17","country_code":"IN","type":"education","lineage":["https://openalex.org/I127439422"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Sinha","raw_affiliation_strings":["Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Mohanpur 741252, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Mohanpur 741252, India","institution_ids":["https://openalex.org/I127439422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046125636","display_name":"P. A. Sreeram","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I127439422","display_name":"Indian Institute of Science Education and Research Kolkata","ror":"https://ror.org/00djv2c17","country_code":"IN","type":"education","lineage":["https://openalex.org/I127439422"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. A. Sreeram","raw_affiliation_strings":["Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Mohanpur 741252, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Mohanpur 741252, India","institution_ids":["https://openalex.org/I127439422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I127439422"],"apc_list":null,"apc_paid":null,"fwci":0.423,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.58561109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":95},"biblio":{"volume":"80","issue":"3","first_page":"031130","last_page":"031130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9878000020980835,"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":0.9878000020980835,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.00930000003427267,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.0008999999845400453,"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/dissipative-dynamics","display_name":"dissipative dynamics","score":0.8769999742507935},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"harmonic oscillator","score":0.9869999885559082},{"id":"https://openalex.org/keywords/master-equation","display_name":"master equation","score":0.8600000143051147},{"id":"https://openalex.org/keywords/nonperturbative-methods","display_name":"non-perturbative methods","score":0.9300000071525574},{"id":"https://openalex.org/keywords/diffusion-coefficient","display_name":"diffusion coefficient","score":0.5809999704360962},{"id":"https://openalex.org/keywords/critical-temperature","display_name":"critical temperature","score":0.8999999761581421},{"id":"https://openalex.org/keywords/brownian-particles","display_name":"Brownian particles","score":0.8450000286102295},{"id":"https://openalex.org/keywords/open-quantum-systems","display_name":"open quantum systems","score":0.4869999885559082}],"concepts":[{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.8909744620323181},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.7814394235610962},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.7609708309173584},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.7474693059921265},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6507044434547424},{"id":"https://openalex.org/C130603088","wikidata":"https://www.wikidata.org/wiki/Q4976526","display_name":"Brownian dynamics","level":3,"score":0.619394838809967},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5533987283706665},{"id":"https://openalex.org/C147724859","wikidata":"https://www.wikidata.org/wiki/Q545228","display_name":"Anharmonicity","level":2,"score":0.5104783773422241},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.46472910046577454},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4501476585865021},{"id":"https://openalex.org/C182168820","wikidata":"https://www.wikidata.org/wiki/Q1454200","display_name":"Free particle","level":3,"score":0.4448928236961365},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4327065944671631},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.42163902521133423},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39525410532951355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18134236335754395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17971503734588623},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1103/physreve.80.031130","doi":"https://doi.org/10.1103/physreve.80.031130","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.80.031130","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:19905085","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19905085","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 review. E, Statistical, nonlinear, and soft matter physics","raw_type":"Journal Article"},{"id":"pmh:oai:eprints.iisc.ac.in:24516","doi":null,"is_oa":false,"landing_page_url":"http://eprints.iisc.ac.in/24516/1/fulltext.pdf","pdf_url":"http://eprints.iisc.ac.in/24516/1/fulltext.pdf","source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:0903.4273","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.4273","pdf_url":"https://arxiv.org/pdf/0903.4273","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.0903.4273","doi":"https://doi.org/10.48550/arxiv.0903.4273","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.0903.4273","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:0903.4273","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/0903.4273","pdf_url":"https://arxiv.org/pdf/0903.4273","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2042467984.pdf","grobid_xml":"https://content.openalex.org/works/W2042467984.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1483893079","https://openalex.org/W1963581978","https://openalex.org/W1979212739","https://openalex.org/W1982577864","https://openalex.org/W1987547083","https://openalex.org/W1995318398","https://openalex.org/W2009902266","https://openalex.org/W2015100264","https://openalex.org/W2015683881","https://openalex.org/W2016368099","https://openalex.org/W2024457175","https://openalex.org/W2024799247","https://openalex.org/W2035405485","https://openalex.org/W2046325854","https://openalex.org/W2052199078","https://openalex.org/W2062043805","https://openalex.org/W2074575692","https://openalex.org/W2078085046","https://openalex.org/W2084333107","https://openalex.org/W2092309584","https://openalex.org/W2092403627","https://openalex.org/W2094116723","https://openalex.org/W2105490835","https://openalex.org/W2110023503","https://openalex.org/W2126752534","https://openalex.org/W2171379820","https://openalex.org/W2248856930","https://openalex.org/W2477434103","https://openalex.org/W3020980000","https://openalex.org/W4230895289","https://openalex.org/W4245063004"],"related_works":["https://openalex.org/W1976037504","https://openalex.org/W1595876874","https://openalex.org/W2160826545","https://openalex.org/W2158977051","https://openalex.org/W7095791511","https://openalex.org/W2027132979","https://openalex.org/W3020980000","https://openalex.org/W2046412720","https://openalex.org/W2017447984","https://openalex.org/W2009717472"],"abstract_inverted_index":{"Starting":[0],"from":[1],"a":[2,7,11,16,23,53],"microscopic":[3],"theory,":[4],"we":[5,83],"derive":[6],"master":[8,46],"equation":[9,47],"for":[10,30],"harmonic":[12],"oscillator":[13,78],"coupled":[14],"to":[15,50],"bath":[17],"of":[18,44,62,76,80,87],"noninteracting":[19],"oscillators.":[20],"We":[21,56],"follow":[22],"nonperturbative":[24],"approach,":[25],"proposed":[26],"earlier":[27],"by":[28],"us":[29],"the":[31,42,45,58,63,74,81,85,88],"free":[32,89],"Brownian":[33,90],"particle.":[34,91],"The":[35],"diffusion":[36],"constants":[37],"are":[38],"calculated":[39],"analytically":[40],"and":[41,66],"positivity":[43],"is":[48],"shown":[49],"hold":[51],"above":[52],"critical":[54],"temperature.":[55],"compare":[57],"long":[59],"time":[60],"behavior":[61],"average":[64],"kinetic":[65],"potential":[67],"energies":[68],"with":[69],"known":[70],"thermodynamic":[71],"results.":[72],"In":[73],"limit":[75],"vanishing":[77],"frequency":[79],"system,":[82],"recover":[84],"results":[86]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
