{"id":"https://openalex.org/W2024898967","doi":"https://doi.org/10.1103/physreve.58.4213","title":"Weak selection and stability of localized distributions in Ostwald ripening","display_name":"Weak selection and stability of localized distributions in Ostwald ripening","publication_year":1998,"publication_date":"1998-10-01","ids":{"openalex":"https://openalex.org/W2024898967","doi":"https://doi.org/10.1103/physreve.58.4213","mag":"2024898967"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.58.4213","doi":"https://doi.org/10.1103/physreve.58.4213","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.58.4213","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"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"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cond-mat/9801178","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021492372","display_name":"Boaz Giron","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Boaz Giron","raw_affiliation_strings":["The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036815084","display_name":"Baruch Meerson","orcid":"https://orcid.org/0000-0002-6709-8140","observed_orcids":["https://orcid.org/0000-0002-6709-8140"]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Baruch Meerson","raw_affiliation_strings":["The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088096917","display_name":"Pavel Vasilievich Sasorov","orcid":"https://orcid.org/0000-0001-9257-6565","observed_orcids":["https://orcid.org/0000-0001-9257-6565"]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Pavel V. Sasorov","raw_affiliation_strings":["The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":2.3514,"has_fulltext":true,"cited_by_count":49,"citation_normalized_percentile":{"value":0.8775503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"58","issue":"4","first_page":"4213","last_page":"4216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9711999893188477,"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"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9711999893188477,"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"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.009499999694526196,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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":0.0038999998942017555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ostwald-ripening","display_name":"Ostwald ripening","score":0.9980000257492065},{"id":"https://openalex.org/keywords/distribution-function","display_name":"distribution function","score":0.8669999837875366},{"id":"https://openalex.org/keywords/asymptotic-perturbation-theory","display_name":"asymptotic perturbation theory","score":0.8640000224113464},{"id":"https://openalex.org/keywords/power-law-convergence","display_name":"power-law convergence","score":0.8479999899864197},{"id":"https://openalex.org/keywords/interface-controlled-growth","display_name":"interface-controlled growth","score":0.7250000238418579},{"id":"https://openalex.org/keywords/diffusion-controlled-growth","display_name":"diffusion-controlled growth","score":0.9909999966621399},{"id":"https://openalex.org/keywords/particle-size-distribution","display_name":"particle size distribution","score":0.4659999907016754}],"concepts":[{"id":"https://openalex.org/C62129180","wikidata":"https://www.wikidata.org/wiki/Q903984","display_name":"Ostwald ripening","level":2,"score":0.9505082964897156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5644720196723938},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47559890151023865},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.46148791909217834},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43515902757644653},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41547566652297974},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.415330708026886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3459431231021881},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3294222950935364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23181882500648499},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.17402857542037964},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10313135385513306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09075450897216797},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08773502707481384},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physreve.58.4213","doi":"https://doi.org/10.1103/physreve.58.4213","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.58.4213","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"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":"pmh:oai:arXiv.org:cond-mat/9801178","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9801178","pdf_url":"https://arxiv.org/pdf/cond-mat/9801178","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.cond-mat/9801178","doi":"https://doi.org/10.48550/arxiv.cond-mat/9801178","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cond-mat/9801178","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:cond-mat/9801178","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9801178","pdf_url":"https://arxiv.org/pdf/cond-mat/9801178","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/W2024898967.pdf","grobid_xml":"https://content.openalex.org/works/W2024898967.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1965193051","https://openalex.org/W1966668247","https://openalex.org/W1972194505","https://openalex.org/W1976846937","https://openalex.org/W1986778090","https://openalex.org/W1990174974","https://openalex.org/W1990672426","https://openalex.org/W1997078934","https://openalex.org/W2013567818","https://openalex.org/W2014863630","https://openalex.org/W2022308914","https://openalex.org/W2022338491","https://openalex.org/W2024966146","https://openalex.org/W2025335285","https://openalex.org/W2027937647","https://openalex.org/W2049487580","https://openalex.org/W2064229865","https://openalex.org/W2064662174","https://openalex.org/W2071557505","https://openalex.org/W2079949023","https://openalex.org/W2083681736","https://openalex.org/W2088554300","https://openalex.org/W2092098997","https://openalex.org/W2092543657","https://openalex.org/W2143061491","https://openalex.org/W4210992751"],"related_works":["https://openalex.org/W2126359115","https://openalex.org/W2044547346","https://openalex.org/W2608936241","https://openalex.org/W2035947034","https://openalex.org/W2051116281","https://openalex.org/W2085388130","https://openalex.org/W2410035431","https://openalex.org/W1975429093","https://openalex.org/W2024650789","https://openalex.org/W2007893956"],"abstract_inverted_index":{"We":[0],"support":[1],"and":[2,63,73],"generalize":[3],"a":[4,55],"weak":[5],"selection":[6,46],"rule":[7,47],"predicted":[8],"recently":[9],"for":[10,70],"the":[11,15,20,42,45,51,59,71],"self-similar":[12,61],"asymptotics":[13],"of":[14,23,41,50],"distribution":[16],"function":[17],"(DF)":[18],"in":[19,48],"zero-volume-fraction":[21],"limit":[22],"Ostwald":[24],"ripening":[25],"(OR).":[26],"An":[27],"asymptotic":[28],"perturbation":[29],"theory":[30],"is":[31],"developed":[32],"that,":[33],"when":[34],"combined":[35],"with":[36,66],"an":[37],"exact":[38],"invariance":[39],"property":[40],"system,":[43],"yields":[44],"terms":[49],"initial":[52],"condition,":[53],"predicts":[54],"power-law":[56],"convergence":[57],"towards":[58],"selected":[60],"DF,":[62],"agrees":[64],"well":[65],"our":[67],"numerical":[68],"simulations":[69],"interface-":[72],"diffusion-controlled":[74],"OR.":[75]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}