Coarsening of fractal viscous fingering patterns

We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2003-11, Vol.91 (20), p.205504-205504, Article 205504
Main Authors: Sharon, Eran, Moore, Mitchell G, McCormick, William D, Swinney, Harry L
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c305t-e0be9910a27548f3b770752813087c486c922677c4ffd776253cb6ca53b8035c3
cites cdi_FETCH-LOGICAL-c305t-e0be9910a27548f3b770752813087c486c922677c4ffd776253cb6ca53b8035c3
container_end_page 205504
container_issue 20
container_start_page 205504
container_title Physical review letters
container_volume 91
creator Sharon, Eran
Moore, Mitchell G
McCormick, William D
Swinney, Harry L
description We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant, exhibiting two dynamic length scales that grow as L1(t) approximately t(0.22+/-0.02) and L2(t) approximately t(0.31+/-0.02). The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Phys. Rev. E 65, 050501 (2002)]].
doi_str_mv 10.1103/PhysRevLett.91.205504
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_71471569</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>71471569</sourcerecordid><originalsourceid>FETCH-LOGICAL-c305t-e0be9910a27548f3b770752813087c486c922677c4ffd776253cb6ca53b8035c3</originalsourceid><addsrcrecordid>eNpNkE9LAzEQxYMotlY_grInb1tnkk1mc5TiPygooueQTROtbHdrkgr99m5pQU8zzLw38_gxdokwRQRx8_K5Ta_-Z-5znmqccpASqiM2RiBdEmJ1zMYAAksNQCN2ltIXACBX9SkbYaVqIUiOGcx6G5Pvlt1H0YciROuybYufZXL9JhVhmPu4W65tzj526ZydBNsmf3GoE_Z-f_c2eyznzw9Ps9t56QTIXHpovNYIlpOs6iAaIiDJaxRQk6tq5TTnioY2hAWR4lK4RjkrRVODkE5M2PX-7jr23xufslkNmXzb2s4PyQxhRSiVHoRyL3SxTyn6YNZxubJxaxDMDpX5h8poNHtUg-_q8GDTrPziz3VgI34BNxFmiw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>71471569</pqid></control><display><type>article</type><title>Coarsening of fractal viscous fingering patterns</title><source>American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)</source><creator>Sharon, Eran ; Moore, Mitchell G ; McCormick, William D ; Swinney, Harry L</creator><creatorcontrib>Sharon, Eran ; Moore, Mitchell G ; McCormick, William D ; Swinney, Harry L</creatorcontrib><description>We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant, exhibiting two dynamic length scales that grow as L1(t) approximately t(0.22+/-0.02) and L2(t) approximately t(0.31+/-0.02). The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Phys. Rev. E 65, 050501 (2002)]].</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/PhysRevLett.91.205504</identifier><identifier>PMID: 14683375</identifier><language>eng</language><publisher>United States</publisher><ispartof>Physical review letters, 2003-11, Vol.91 (20), p.205504-205504, Article 205504</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c305t-e0be9910a27548f3b770752813087c486c922677c4ffd776253cb6ca53b8035c3</citedby><cites>FETCH-LOGICAL-c305t-e0be9910a27548f3b770752813087c486c922677c4ffd776253cb6ca53b8035c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/14683375$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Sharon, Eran</creatorcontrib><creatorcontrib>Moore, Mitchell G</creatorcontrib><creatorcontrib>McCormick, William D</creatorcontrib><creatorcontrib>Swinney, Harry L</creatorcontrib><title>Coarsening of fractal viscous fingering patterns</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant, exhibiting two dynamic length scales that grow as L1(t) approximately t(0.22+/-0.02) and L2(t) approximately t(0.31+/-0.02). The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Phys. Rev. E 65, 050501 (2002)]].</description><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNpNkE9LAzEQxYMotlY_grInb1tnkk1mc5TiPygooueQTROtbHdrkgr99m5pQU8zzLw38_gxdokwRQRx8_K5Ta_-Z-5znmqccpASqiM2RiBdEmJ1zMYAAksNQCN2ltIXACBX9SkbYaVqIUiOGcx6G5Pvlt1H0YciROuybYufZXL9JhVhmPu4W65tzj526ZydBNsmf3GoE_Z-f_c2eyznzw9Ps9t56QTIXHpovNYIlpOs6iAaIiDJaxRQk6tq5TTnioY2hAWR4lK4RjkrRVODkE5M2PX-7jr23xufslkNmXzb2s4PyQxhRSiVHoRyL3SxTyn6YNZxubJxaxDMDpX5h8poNHtUg-_q8GDTrPziz3VgI34BNxFmiw</recordid><startdate>20031114</startdate><enddate>20031114</enddate><creator>Sharon, Eran</creator><creator>Moore, Mitchell G</creator><creator>McCormick, William D</creator><creator>Swinney, Harry L</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>20031114</creationdate><title>Coarsening of fractal viscous fingering patterns</title><author>Sharon, Eran ; Moore, Mitchell G ; McCormick, William D ; Swinney, Harry L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c305t-e0be9910a27548f3b770752813087c486c922677c4ffd776253cb6ca53b8035c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sharon, Eran</creatorcontrib><creatorcontrib>Moore, Mitchell G</creatorcontrib><creatorcontrib>McCormick, William D</creatorcontrib><creatorcontrib>Swinney, Harry L</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sharon, Eran</au><au>Moore, Mitchell G</au><au>McCormick, William D</au><au>Swinney, Harry L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Coarsening of fractal viscous fingering patterns</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2003-11-14</date><risdate>2003</risdate><volume>91</volume><issue>20</issue><spage>205504</spage><epage>205504</epage><pages>205504-205504</pages><artnum>205504</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>We have measured the coarsening due to surface tension of radially grown fractal viscous fingering patterns. The patterns at late times depend on the structural form at the onset of coarsening, providing information on the age of the fractal. The coarsening process is not dynamically scale invariant, exhibiting two dynamic length scales that grow as L1(t) approximately t(0.22+/-0.02) and L2(t) approximately t(0.31+/-0.02). The measured exponents are in agreement with the results of recent numerical studies of diffusion-controlled coarsening of a diffusion-limited aggregation fractal [Phys. Rev. E 65, 050501 (2002)]].</abstract><cop>United States</cop><pmid>14683375</pmid><doi>10.1103/PhysRevLett.91.205504</doi><tpages>1</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0031-9007
ispartof Physical review letters, 2003-11, Vol.91 (20), p.205504-205504, Article 205504
issn 0031-9007
1079-7114
language eng
recordid cdi_proquest_miscellaneous_71471569
source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
title Coarsening of fractal viscous fingering patterns
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T16%3A49%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Coarsening%20of%20fractal%20viscous%20fingering%20patterns&rft.jtitle=Physical%20review%20letters&rft.au=Sharon,%20Eran&rft.date=2003-11-14&rft.volume=91&rft.issue=20&rft.spage=205504&rft.epage=205504&rft.pages=205504-205504&rft.artnum=205504&rft.issn=0031-9007&rft.eissn=1079-7114&rft_id=info:doi/10.1103/PhysRevLett.91.205504&rft_dat=%3Cproquest_cross%3E71471569%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c305t-e0be9910a27548f3b770752813087c486c922677c4ffd776253cb6ca53b8035c3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=71471569&rft_id=info:pmid/14683375&rfr_iscdi=true