{"id":"https://openalex.org/W4390048786","doi":"https://doi.org/10.3390/e26010012","title":"Exact Response Theory for Time-Dependent and Stochastic Perturbations","display_name":"Exact Response Theory for Time-Dependent and Stochastic Perturbations","publication_year":2023,"publication_date":"2023-12-21","ids":{"openalex":"https://openalex.org/W4390048786","doi":"https://doi.org/10.3390/e26010012","pmid":"https://pubmed.ncbi.nlm.nih.gov/38275491"},"language":"en","primary_location":{"id":"doi:10.3390/e26010012","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26010012","pdf_url":"https://www.mdpi.com/1099-4300/26/1/12/pdf?version=1703168158","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/1/12/pdf?version=1703168158","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026854159","display_name":"Leonardo Iannella","orcid":"https://orcid.org/0009-0007-8031-3451"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Leonardo Iannella","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 di Torino, Via Pietro Giuria 1, 10125 Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Torino, Via Pietro Giuria 1, 10125 Torino, Italy","institution_ids":["https://openalex.org/I55143463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037162554","display_name":"Lamberto Rondoni","orcid":"https://orcid.org/0000-0002-4223-6279"},"institutions":[{"id":"https://openalex.org/I4210099850","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Torino","ror":"https://ror.org/01vj6ck58","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210099850"]},{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Lamberto Rondoni","raw_affiliation_strings":["Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca Degli Abruzzi 24, 10129 Torino, Italy","INFN, Sezione di Torino, Via Pietro Giuria 1, 10125 Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca Degli Abruzzi 24, 10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"INFN, Sezione di Torino, Via Pietro Giuria 1, 10125 Torino, Italy","institution_ids":["https://openalex.org/I4210099850"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037162554"],"corresponding_institution_ids":["https://openalex.org/I177477856","https://openalex.org/I4210099850"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4982,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62968582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"26","issue":"1","first_page":"12","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":1.0,"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":1.0,"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/T13539","display_name":"thermodynamics and calorimetric analyses","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6005034446716309},{"id":"https://openalex.org/keywords/thermostat","display_name":"Thermostat","score":0.5937243103981018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5776682496070862},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.559110701084137},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.423518568277359},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3383945822715759},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25034356117248535},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12630784511566162}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6005034446716309},{"id":"https://openalex.org/C187819001","wikidata":"https://www.wikidata.org/wiki/Q187665","display_name":"Thermostat","level":2,"score":0.5937243103981018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5776682496070862},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.559110701084137},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.423518568277359},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3383945822715759},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25034356117248535},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12630784511566162},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e26010012","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26010012","pdf_url":"https://www.mdpi.com/1099-4300/26/1/12/pdf?version=1703168158","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:38275491","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38275491","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,"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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10814237","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10814237","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10814237/pdf/entropy-26-00012.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:5a7ae4541f824df6b6d0c6ced164777a","is_oa":true,"landing_page_url":"https://doaj.org/article/5a7ae4541f824df6b6d0c6ced164777a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 26, Iss 1, p 12 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26010012","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26010012","pdf_url":"https://www.mdpi.com/1099-4300/26/1/12/pdf?version=1703168158","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320322838","display_name":"VIT University","ror":"https://ror.org/00qzypv28"},{"id":"https://openalex.org/F4320334080","display_name":"Gruppo Nazionale per la Fisica Matematica","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4390048786.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W24821895","https://openalex.org/W436873842","https://openalex.org/W1548618691","https://openalex.org/W1646534854","https://openalex.org/W1916001099","https://openalex.org/W1966536823","https://openalex.org/W1972926598","https://openalex.org/W1981554289","https://openalex.org/W2030114330","https://openalex.org/W2071465763","https://openalex.org/W2074847124","https://openalex.org/W2087098125","https://openalex.org/W2097139575","https://openalex.org/W2133820283","https://openalex.org/W2134312352","https://openalex.org/W2275036067","https://openalex.org/W2296537081","https://openalex.org/W2464896617","https://openalex.org/W2476901185","https://openalex.org/W2485795334","https://openalex.org/W2606905593","https://openalex.org/W2783948492","https://openalex.org/W3022089852","https://openalex.org/W3045612997","https://openalex.org/W3100025450","https://openalex.org/W3102246426","https://openalex.org/W3158387035","https://openalex.org/W3208903225","https://openalex.org/W4221162351","https://openalex.org/W4249765713","https://openalex.org/W4250169989","https://openalex.org/W4250579998","https://openalex.org/W4302104822","https://openalex.org/W4386771188","https://openalex.org/W4388167314"],"related_works":["https://openalex.org/W2038237118","https://openalex.org/W3121872160","https://openalex.org/W2349862066","https://openalex.org/W2099131511","https://openalex.org/W4237978858","https://openalex.org/W2042349461","https://openalex.org/W2211199051","https://openalex.org/W1965959983","https://openalex.org/W2061338932","https://openalex.org/W1985063657"],"abstract_inverted_index":{"The":[0,108],"exact,":[1],"non":[2],"perturbative,":[3],"response":[4,106,201],"theory":[5,63,117,202],"developed":[6,67],"within":[7],"the":[8,33,39,47,55,116,119,133,139,150,159,161,173,179,195,198],"field":[9],"of":[10,50,89,128,138,175,197],"non-equilibrium":[11],"molecular":[12],"dynamics,":[13],"also":[14,83],"known":[15],"as":[16,153],"TTCF":[17],"(transient":[18],"time":[19],"correlation":[20],"function),":[21],"applies":[22],"to":[23,78,86,93,124,172],"quite":[24],"general":[25],"dynamical":[26,87],"systems.":[27],"Its":[28],"key":[29],"element":[30],"is":[31,57,142,164],"called":[32],"<i>dissipation":[34],"function</i>":[35],"because":[36],"it":[37,74],"represents":[38],"power":[40],"dissipated":[41],"by":[42,59,193],"external":[43,70],"fields":[44],"acting":[45],"on":[46],"particle":[48],"system":[49],"interest,":[51],"whose":[52],"coupling":[53],"with":[54,170,203],"environment":[56],"given":[58,130],"deterministic":[60,156],"thermostats.":[61],"This":[62,122],"has":[64,75,82],"been":[65,76,84],"initially":[66],"for":[68],"time-independent":[69],"perturbations,":[71],"and":[72,92,144,166,188],"then":[73],"extended":[77],"time-dependent":[79,112],"perturbations.":[80],"It":[81],"applied":[85],"systems":[88],"different":[90,126],"nature,":[91],"oscillator":[94],"models":[95],"undergoing":[96],"phase":[97],"transitions,":[98],"which":[99],"cannot":[100],"be":[101],"treated":[102],"with,":[103],"e.g.,":[104],"linear":[105],"theory.":[107],"present":[109],"work":[110],"includes":[111],"stochastic":[113,140,176,189],"perturbations":[114],"in":[115,154],"using":[118],"Karhunen-Lo\u00e8ve":[120],"theorem.":[121],"leads":[123],"three":[125],"investigations":[127],"a":[129,135,155],"process.":[131,157],"In":[132,158,178],"first,":[134],"single":[136],"realization":[137],"coefficients":[141],"fixed,":[143,165],"averages":[145,167,183],"are":[146,168],"taken":[147,169],"only":[148],"over":[149,184],"initial":[151,162,186],"conditions,":[152],"second,":[160],"condition":[163],"respect":[171],"distribution":[174],"coefficients.":[177,190],"last":[180],"investigation,":[181],"one":[182],"both":[185],"conditions":[187],"We":[191],"conclude":[192],"illustrating":[194],"applicability":[196],"resulting":[199],"exact":[200],"simple":[204],"examples.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}