{"id":"https://openalex.org/W2016368285","doi":"https://doi.org/10.1063/1.2161211","title":"Efficient computation of the first passage time distribution of the generalized master equation by steady-state relaxation","display_name":"Efficient computation of the first passage time distribution of the generalized master equation by steady-state relaxation","publication_year":2006,"publication_date":"2006-02-03","ids":{"openalex":"https://openalex.org/W2016368285","doi":"https://doi.org/10.1063/1.2161211","mag":"2016368285","pmid":"https://pubmed.ncbi.nlm.nih.gov/16468856"},"language":"en","primary_location":{"id":"doi:10.1063/1.2161211","doi":"https://doi.org/10.1063/1.2161211","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.2161211","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","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/physics/0510217","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"David Shalloway","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Shalloway","raw_affiliation_strings":["Cornell University Biophysics Program, Department of Molecular Biology and Genetics, , Ithaca, New York 14853"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cornell University Biophysics Program, Department of Molecular Biology and Genetics, , Ithaca, New York 14853","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":null,"display_name":"Anton K. Faradjian","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anton K. Faradjian","raw_affiliation_strings":["Cornell University Department of Physics, , Ithaca, New York 14853"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cornell University Department of Physics, , Ithaca, New York 14853","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":2.2484,"has_fulltext":true,"cited_by_count":45,"citation_normalized_percentile":{"value":0.883763,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"124","issue":"5","first_page":"054112","last_page":"054112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.4417000114917755,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.4417000114917755,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.17829999327659607,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.07199999690055847,"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/first-passage-time-distribution","display_name":"first passage time distribution","score":0.9739999771118164},{"id":"https://openalex.org/keywords/generalized-master-equation","display_name":"generalized master equation","score":0.9980000257492065},{"id":"https://openalex.org/keywords/continuous-time-random-walk","display_name":"continuous time random walk","score":0.9649999737739563},{"id":"https://openalex.org/keywords/steady-state-relaxation","display_name":"steady state relaxation","score":0.9649999737739563},{"id":"https://openalex.org/keywords/mean-first-passage-time","display_name":"mean first passage time","score":0.824999988079071},{"id":"https://openalex.org/keywords/moment-generating-function","display_name":"moment generating function","score":0.8769999742507935},{"id":"https://openalex.org/keywords/statistical-error-analysis","display_name":"statistical error analysis","score":0.9319999814033508},{"id":"https://openalex.org/keywords/gamma-distribution-approximation","display_name":"Gamma distribution approximation","score":0.8029999732971191},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.7710000276565552},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.5699999928474426},{"id":"https://openalex.org/keywords/stochastic-systems","display_name":"stochastic systems","score":0.7360000014305115}],"concepts":[{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.7728000283241272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6711999773979187},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6711999773979187},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.666700005531311},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6553000211715698},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5799999833106995},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.5138000249862671},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5131000280380249},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.49810001254081726},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.46880000829696655},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.46700000762939453},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4652000069618225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46050000190734863},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4499000012874603},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.40290001034736633},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C120229918","wikidata":"https://www.wikidata.org/wiki/Q1088747","display_name":"Central moment","level":4,"score":0.3246999979019165},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.3197999894618988},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.31380000710487366},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.30720001459121704},{"id":"https://openalex.org/C149717495","wikidata":"https://www.wikidata.org/wiki/Q117806","display_name":"Gamma distribution","level":2,"score":0.2985000014305115},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.28790000081062317},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C2780554755","wikidata":"https://www.wikidata.org/wiki/Q955260","display_name":"Relaxation technique","level":3,"score":0.27790001034736633},{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.2770000100135803},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C20538924","wikidata":"https://www.wikidata.org/wiki/Q822139","display_name":"Characteristic function (probability theory)","level":3,"score":0.26649999618530273},{"id":"https://openalex.org/C105045736","wikidata":"https://www.wikidata.org/wiki/Q7292002","display_name":"Random walker algorithm","level":3,"score":0.2581000030040741},{"id":"https://openalex.org/C22243797","wikidata":"https://www.wikidata.org/wiki/Q2058297","display_name":"Laplace's method","level":3,"score":0.2513999938964844}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001499","descriptor_name":"Bayes Theorem","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D002627","descriptor_name":"Chemistry, Physical","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003201","descriptor_name":"Computers","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011336","descriptor_name":"Probability","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017510","descriptor_name":"Protein Folding","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1063/1.2161211","doi":"https://doi.org/10.1063/1.2161211","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.2161211","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},{"id":"pmid:16468856","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/16468856","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":"The Journal of chemical physics","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:physics/0510217","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/physics/0510217","pdf_url":"https://arxiv.org/pdf/physics/0510217","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":"pmh:oai:cds.cern.ch:900433","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/900433","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.physics/0510217","doi":"https://doi.org/10.48550/arxiv.physics/0510217","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.physics/0510217","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:physics/0510217","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/physics/0510217","pdf_url":"https://arxiv.org/pdf/physics/0510217","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/G2283277375","display_name":"Long Time Dynamics of Biomolecules","funder_award_id":"R01GM059796","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2016368285.pdf","grobid_xml":"https://content.openalex.org/works/W2016368285.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1670478556","https://openalex.org/W1968771657","https://openalex.org/W1972675000","https://openalex.org/W1974661028","https://openalex.org/W1989941945","https://openalex.org/W1998844844","https://openalex.org/W2013511690","https://openalex.org/W2042923232","https://openalex.org/W2056415235","https://openalex.org/W2064556178","https://openalex.org/W2068218069","https://openalex.org/W2086608546","https://openalex.org/W2088847873","https://openalex.org/W2091737770","https://openalex.org/W2092144432","https://openalex.org/W2098309035","https://openalex.org/W2101567355","https://openalex.org/W2120048798","https://openalex.org/W2314794282","https://openalex.org/W3008437073"],"related_works":["https://openalex.org/W1563471313","https://openalex.org/W7203471045","https://openalex.org/W4411155464","https://openalex.org/W2765786972","https://openalex.org/W47234256","https://openalex.org/W1678175220","https://openalex.org/W1970119229","https://openalex.org/W2000114881","https://openalex.org/W1985589832","https://openalex.org/W2620687421"],"abstract_inverted_index":{"The":[0,34,100],"generalized":[1],"master":[2],"equation":[3],"or":[4,117],"the":[5,17,37,53,59,62,107],"equivalent":[6],"continuous":[7],"time":[8,21,41],"random":[9],"walk":[10],"equations":[11],"can":[12,47,68,92,103],"be":[13,48,69,93,104],"used":[14,94],"to":[15,58,86,95,106,121],"compute":[16],"macroscopic":[18],"first":[19,39],"passage":[20,40],"distribution":[22,116],"(FPTD)":[23],"of":[24,36,61,74,79],"a":[25,87,114],"complex":[26],"stochastic":[27],"system":[28],"from":[29],"short-term":[30],"microscopic":[31],"simulation":[32],"data.":[33],"computation":[35],"mean":[38],"and":[42],"additional":[43],"low-order":[44],"FPTD":[45,54,64,108],"moments":[46,60],"simplified":[49],"by":[50,110],"directly":[51],"relating":[52],"moment":[55],"generating":[56],"function":[57,119],"local":[63],"matrix.":[65],"This":[66],"relationship":[67],"physically":[70],"interpreted":[71],"in":[72],"terms":[73],"steady-state":[75,80],"relaxation,":[76],"an":[77],"extension":[78],"flow.":[81],"Moreover,":[82],"it":[83,112],"is":[84],"amenable":[85],"statistical":[88],"error":[89],"analysis":[90],"that":[91],"significantly":[96],"increase":[97],"computational":[98],"efficiency.":[99],"efficiency":[101],"improvement":[102],"extended":[105],"itself":[109],"modelling":[111],"using":[113],"gamma":[115],"rational":[118],"approximation":[120],"its":[122],"Laplace":[123],"transform.":[124]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}