{"id":"https://openalex.org/W2111237674","doi":"https://doi.org/10.1103/physrevlett.101.094501","title":"Unifying Scaling Theory for Vortex Dynamics in Two-Dimensional Turbulence","display_name":"Unifying Scaling Theory for Vortex Dynamics in Two-Dimensional Turbulence","publication_year":2008,"publication_date":"2008-08-25","ids":{"openalex":"https://openalex.org/W2111237674","doi":"https://doi.org/10.1103/physrevlett.101.094501","mag":"2111237674","pmid":"https://pubmed.ncbi.nlm.nih.gov/18851616"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.101.094501","doi":"https://doi.org/10.1103/physrevlett.101.094501","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.101.094501","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","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 Letters","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053585039","display_name":"David Gerard Dritschel","orcid":"https://orcid.org/0000-0001-6489-3395","observed_orcids":["https://orcid.org/0000-0001-6489-3395"]},"institutions":[{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D. G. Dritschel","raw_affiliation_strings":["School of Mathematics and Statistics, University of St. Andrews, St. Andrews KY16 9SS, United Kingdom. dgd@mcs.st-and.ac.uk","School of Mathematics and Statistics, University of St.\u00a0Andrews, St.\u00a0Andrews KY16 9SS, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of St. Andrews, St. Andrews KY16 9SS, United Kingdom. dgd@mcs.st-and.ac.uk","institution_ids":["https://openalex.org/I16835326"]},{"raw_affiliation_string":"School of Mathematics and Statistics, University of St.\u00a0Andrews, St.\u00a0Andrews KY16 9SS, United Kingdom","institution_ids":["https://openalex.org/I16835326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058932332","display_name":"RICHARD K. SCOTT","orcid":"https://orcid.org/0000-0001-5624-5128","observed_orcids":["https://orcid.org/0000-0001-5624-5128"]},"institutions":[{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"R. K. Scott","raw_affiliation_strings":["School of Mathematics and Statistics, University of St.\u00a0Andrews, St.\u00a0Andrews KY16 9SS, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of St.\u00a0Andrews, St.\u00a0Andrews KY16 9SS, United Kingdom","institution_ids":["https://openalex.org/I16835326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068162656","display_name":"C. Macaskill","orcid":"https://orcid.org/0000-0002-2327-2493","observed_orcids":["https://orcid.org/0000-0002-2327-2493"]},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"C. Macaskill","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075677942","display_name":"Georg A. Gottwald","orcid":"https://orcid.org/0000-0002-5046-8520","observed_orcids":["https://orcid.org/0000-0002-5046-8520"]},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"G. A. Gottwald","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019837856","display_name":"Chuong V. Tran","orcid":"https://orcid.org/0000-0002-1790-8280","observed_orcids":["https://orcid.org/0000-0002-1790-8280"]},"institutions":[{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. V. Tran","raw_affiliation_strings":["School of Mathematics and Statistics, University of St.\u00a0Andrews, St.\u00a0Andrews KY16 9SS, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of St.\u00a0Andrews, St.\u00a0Andrews KY16 9SS, United Kingdom","institution_ids":["https://openalex.org/I16835326"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":5.2251,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.96136017,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"101","issue":"9","first_page":"094501","last_page":"094501"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/two-dimensional-turbulence","display_name":"two-dimensional turbulence","score":0.9829999804496765},{"id":"https://openalex.org/keywords/scaling-theory","display_name":"scaling theory","score":0.7260000109672546},{"id":"https://openalex.org/keywords/vortex-dynamics","display_name":"vortex dynamics","score":0.8809999823570251},{"id":"https://openalex.org/keywords/energy-spectrum","display_name":"energy spectrum","score":0.9330000281333923},{"id":"https://openalex.org/keywords/spatial-and-temporal-scaling","display_name":"spatial and temporal scaling","score":0.5979999899864197}],"concepts":[{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.8847111463546753},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.8610236644744873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7795962691307068},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.7511687874794006},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.6505786776542664},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6335840821266174},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.41233834624290466},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24686121940612793},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12545564770698547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1040034294128418}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physrevlett.101.094501","doi":"https://doi.org/10.1103/physrevlett.101.094501","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.101.094501","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","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 Letters","raw_type":"journal-article"},{"id":"pmid:18851616","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18851616","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 letters","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1969361665","https://openalex.org/W1996792134","https://openalex.org/W2007079609","https://openalex.org/W2008423980","https://openalex.org/W2038054616","https://openalex.org/W2050962398","https://openalex.org/W2056196613","https://openalex.org/W2061347045","https://openalex.org/W2061795302","https://openalex.org/W2064190523","https://openalex.org/W2075431550","https://openalex.org/W2093969753","https://openalex.org/W2160032406","https://openalex.org/W2172040771","https://openalex.org/W2985181968","https://openalex.org/W2996439688","https://openalex.org/W3188897366","https://openalex.org/W4243066586","https://openalex.org/W4253924998"],"related_works":["https://openalex.org/W2564036368","https://openalex.org/W2741921986","https://openalex.org/W1483793753","https://openalex.org/W1984273075","https://openalex.org/W2007079609","https://openalex.org/W4391058606","https://openalex.org/W4407840871","https://openalex.org/W2260037218","https://openalex.org/W2152102007","https://openalex.org/W2768229593"],"abstract_inverted_index":{"We":[0,60],"present":[1],"a":[2,24],"scaling":[3,17,41],"theory":[4,20],"for":[5],"unforced":[6],"inviscid":[7],"two-dimensional":[8],"turbulence.":[9],"Our":[10,33],"model":[11,34],"unifies":[12],"existing":[13],"spatial":[14,38],"and":[15,39,56],"temporal":[16,40],"theories.":[18],"The":[19],"is":[21],"based":[22],"on":[23],"self-similar":[25],"distribution":[26],"of":[27,29,42,52],"vortices":[28],"different":[30],"sizes":[31],"A.":[32],"uniquely":[35],"determines":[36],"the":[37,43,50,53,57,63,79,87],"associated":[44],"vortex":[45,58,64],"number":[46,65],"density":[47,66],"which":[48,70],"allows":[49],"determination":[51],"energy":[54,73],"spectra":[55],"distributions.":[59],"find":[61],"that":[62],"scales":[67],"as":[68],"n(A,t)-t(-2/3)/A,":[69],"implies":[71],"an":[72],"spectrum":[74],"E-k(-5),":[75],"significantly":[76],"steeper":[77],"than":[78],"classical":[80],"Batchelor-Kraichnan":[81],"scaling.":[82],"High-resolution":[83],"numerical":[84],"simulations":[85],"corroborate":[86],"model.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}
