Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

Wavelength selection in reaction-diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by self-amplifying mass transport between neighboring high-density do...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review letters 2021-03, Vol.126 (10), p.104101-104101, Article 104101
Hauptverfasser: Brauns, Fridtjof, Weyer, Henrik, Halatek, Jacob, Yoon, Junghoon, Frey, Erwin
Format: Artikel
Sprache:eng
Schlagworte:
Mass transport
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 104101
container_issue 10
container_start_page 104101
container_title Physical review letters
container_volume 126
creator Brauns, Fridtjof
Weyer, Henrik
Halatek, Jacob
Yoon, Junghoon
Frey, Erwin
description Wavelength selection in reaction-diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by self-amplifying mass transport between neighboring high-density domains. We derive a general coarsening criterion and show that coarsening is generically uninterrupted in two-component systems that conserve mass. The theory is then generalized to study interrupted coarsening and anticoarsening due to weakly broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.
doi_str_mv 10.1103/PhysRevLett.126.104101
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_2507668164</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2507668164</sourcerecordid><originalsourceid>FETCH-LOGICAL-c387t-27f51af96ca599af5cefce14da4a28b76836b6a7c34699760ccec48b9c0e9d573</originalsourceid><addsrcrecordid>eNpdkF1LwzAUhoMobk7_wih4401nTpMmzaXMr8FA2RQvS5qebh1bO5N00H9v56aIV-e9eN6Xw0PIEOgIgLLb12XrZribovcjiMQIKAcKJ6QPVKpQAvBT0qeUQagolT1y4dyKUtqhyTnpMSYT3uU-mX7oHa6xWvhlMO-C8WVdBVkbTCqP1jZbj3kwrrV1WJXVIiirYIb6mwrvy6Jo3J6ft87jxl2Ss0KvHV4d74C8Pz68jZ_D6cvTZHw3DQ1LpA8jWcSgCyWMjpXSRWywMAg811xHSSZFwkQmtDSMC6WkoMag4UmmDEWVx5INyM1hd2vrzwadTzelM7he6wrrxqVRTKUQCQjeodf_0FXd2Kr7bk_xBBiA6ChxoIytnbNYpFtbbrRtU6Dp3nf6x3faiUsPvrvi8DjfZBvMf2s_gtkX5PJ_Ig</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2504813116</pqid></control><display><type>article</type><title>Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems</title><source>American Physical Society Journals</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>Brauns, Fridtjof ; Weyer, Henrik ; Halatek, Jacob ; Yoon, Junghoon ; Frey, Erwin</creator><creatorcontrib>Brauns, Fridtjof ; Weyer, Henrik ; Halatek, Jacob ; Yoon, Junghoon ; Frey, Erwin</creatorcontrib><description>Wavelength selection in reaction-diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by self-amplifying mass transport between neighboring high-density domains. We derive a general coarsening criterion and show that coarsening is generically uninterrupted in two-component systems that conserve mass. The theory is then generalized to study interrupted coarsening and anticoarsening due to weakly broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/PhysRevLett.126.104101</identifier><identifier>PMID: 33784126</identifier><language>eng</language><publisher>United States: American Physical Society</publisher><subject>Mass transport</subject><ispartof>Physical review letters, 2021-03, Vol.126 (10), p.104101-104101, Article 104101</ispartof><rights>Copyright American Physical Society Mar 12, 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c387t-27f51af96ca599af5cefce14da4a28b76836b6a7c34699760ccec48b9c0e9d573</citedby><cites>FETCH-LOGICAL-c387t-27f51af96ca599af5cefce14da4a28b76836b6a7c34699760ccec48b9c0e9d573</cites><orcidid>0000-0003-0024-1333 ; 0000-0001-9612-0741 ; 0000-0001-8792-3358 ; 0000-0002-6108-9278</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,2863,2864,27901,27902</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/33784126$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Brauns, Fridtjof</creatorcontrib><creatorcontrib>Weyer, Henrik</creatorcontrib><creatorcontrib>Halatek, Jacob</creatorcontrib><creatorcontrib>Yoon, Junghoon</creatorcontrib><creatorcontrib>Frey, Erwin</creatorcontrib><title>Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>Wavelength selection in reaction-diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by self-amplifying mass transport between neighboring high-density domains. We derive a general coarsening criterion and show that coarsening is generically uninterrupted in two-component systems that conserve mass. The theory is then generalized to study interrupted coarsening and anticoarsening due to weakly broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.</description><subject>Mass transport</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNpdkF1LwzAUhoMobk7_wih4401nTpMmzaXMr8FA2RQvS5qebh1bO5N00H9v56aIV-e9eN6Xw0PIEOgIgLLb12XrZribovcjiMQIKAcKJ6QPVKpQAvBT0qeUQagolT1y4dyKUtqhyTnpMSYT3uU-mX7oHa6xWvhlMO-C8WVdBVkbTCqP1jZbj3kwrrV1WJXVIiirYIb6mwrvy6Jo3J6ft87jxl2Ss0KvHV4d74C8Pz68jZ_D6cvTZHw3DQ1LpA8jWcSgCyWMjpXSRWywMAg811xHSSZFwkQmtDSMC6WkoMag4UmmDEWVx5INyM1hd2vrzwadTzelM7he6wrrxqVRTKUQCQjeodf_0FXd2Kr7bk_xBBiA6ChxoIytnbNYpFtbbrRtU6Dp3nf6x3faiUsPvrvi8DjfZBvMf2s_gtkX5PJ_Ig</recordid><startdate>20210312</startdate><enddate>20210312</enddate><creator>Brauns, Fridtjof</creator><creator>Weyer, Henrik</creator><creator>Halatek, Jacob</creator><creator>Yoon, Junghoon</creator><creator>Frey, Erwin</creator><general>American Physical Society</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-0024-1333</orcidid><orcidid>https://orcid.org/0000-0001-9612-0741</orcidid><orcidid>https://orcid.org/0000-0001-8792-3358</orcidid><orcidid>https://orcid.org/0000-0002-6108-9278</orcidid></search><sort><creationdate>20210312</creationdate><title>Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems</title><author>Brauns, Fridtjof ; Weyer, Henrik ; Halatek, Jacob ; Yoon, Junghoon ; Frey, Erwin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c387t-27f51af96ca599af5cefce14da4a28b76836b6a7c34699760ccec48b9c0e9d573</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mass transport</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Brauns, Fridtjof</creatorcontrib><creatorcontrib>Weyer, Henrik</creatorcontrib><creatorcontrib>Halatek, Jacob</creatorcontrib><creatorcontrib>Yoon, Junghoon</creatorcontrib><creatorcontrib>Frey, Erwin</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Brauns, Fridtjof</au><au>Weyer, Henrik</au><au>Halatek, Jacob</au><au>Yoon, Junghoon</au><au>Frey, Erwin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2021-03-12</date><risdate>2021</risdate><volume>126</volume><issue>10</issue><spage>104101</spage><epage>104101</epage><pages>104101-104101</pages><artnum>104101</artnum><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>Wavelength selection in reaction-diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by self-amplifying mass transport between neighboring high-density domains. We derive a general coarsening criterion and show that coarsening is generically uninterrupted in two-component systems that conserve mass. The theory is then generalized to study interrupted coarsening and anticoarsening due to weakly broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.</abstract><cop>United States</cop><pub>American Physical Society</pub><pmid>33784126</pmid><doi>10.1103/PhysRevLett.126.104101</doi><tpages>1</tpages><orcidid>https://orcid.org/0000-0003-0024-1333</orcidid><orcidid>https://orcid.org/0000-0001-9612-0741</orcidid><orcidid>https://orcid.org/0000-0001-8792-3358</orcidid><orcidid>https://orcid.org/0000-0002-6108-9278</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0031-9007
ispartof Physical review letters, 2021-03, Vol.126 (10), p.104101-104101, Article 104101
issn 0031-9007
1079-7114
language eng
recordid cdi_proquest_miscellaneous_2507668164
source American Physical Society Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects Mass transport
title Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-30T12%3A00%3A58IST&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=Wavelength%20Selection%20by%20Interrupted%20Coarsening%20in%20Reaction-Diffusion%20Systems&rft.jtitle=Physical%20review%20letters&rft.au=Brauns,%20Fridtjof&rft.date=2021-03-12&rft.volume=126&rft.issue=10&rft.spage=104101&rft.epage=104101&rft.pages=104101-104101&rft.artnum=104101&rft.issn=0031-9007&rft.eissn=1079-7114&rft_id=info:doi/10.1103/PhysRevLett.126.104101&rft_dat=%3Cproquest_cross%3E2507668164%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2504813116&rft_id=info:pmid/33784126&rfr_iscdi=true