{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,30]],"date-time":"2024-07-30T16:36:10Z","timestamp":1722357370255},"reference-count":52,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,7]]},"abstract":"<jats:p> We present new experimental results on the quenching dynamics of an extended thermo-convective system (a network array of approximately 100 convective oscillators) going through a secondary subcritical bifurcation. We characterize a dynamical phase transition through the nature of the domain walls (1D-fronts) that connect the basic multicellular pattern with the new oscillating one. Two different mechanisms of the relaxing dynamics at the threshold are characterized depending on the crossing rate [Formula: see text] of the quenched transition. From the analysis of fronts, we show that these mechanisms follow different correlation length scales \u03be ~ \u03bc<jats:sup>-\u03c3<\/jats:sup>. Below a critical value \u03bc<jats:sub>c<\/jats:sub>, a slow response dynamics yields a spatiotemporal coherent front with weak coupling between oscillators. Above \u03bc<jats:sub>c<\/jats:sub>, for rapid quenches, defects are trapped at the front with a strong coupling between oscillators, similarly to the Kibble\u2013Zurek mechanism in quenched phase transitions. These defects, pinned to the fronts, yield a strong decay of the correlation length. <\/jats:p>","DOI":"10.1142\/s0218127412501659","type":"journal-article","created":{"date-parts":[[2012,8,12]],"date-time":"2012-08-12T22:36:01Z","timestamp":1344810961000},"page":"1250165","source":"Crossref","is-referenced-by-count":7,"title":["EXPLORING THE KIBBLE\u2013ZUREK MECHANISM IN A SECONDARY BIFURCATION"],"prefix":"10.1142","volume":"22","author":[{"given":"M. A.","family":"MIRANDA","sequence":"first","affiliation":[{"name":"Department of Physics and Applied Mathematics, University of Navarra, Irunlarrea s\/n, Pamplona, E-31080, Spain"}]},{"given":"J.","family":"BURGUETE","sequence":"additional","affiliation":[{"name":"Department of Physics and Applied Mathematics, University of Navarra, Irunlarrea s\/n, Pamplona, E-31080, Spain"}]},{"given":"W.","family":"GONZ\u00c1LEZ-VI\u00d1AS","sequence":"additional","affiliation":[{"name":"Department of Physics and Applied Mathematics, University of Navarra, Irunlarrea s\/n, Pamplona, E-31080, Spain"}]},{"given":"H.","family":"MANCINI","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Navarra, Irunlarrea s\/n, Pamplona, E-31080, Spain"}]}],"member":"219","published-online":{"date-parts":[[2012,8,12]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406014551"},{"key":"rf2","first-page":"96","volume":"469","author":"Arenas A.","journal-title":"Phys. Rep."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1038\/382332a0"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.050101"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2005.10.009"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1126\/science.263.5149.943"},{"key":"rf7","first-page":"70","volume":"329","author":"Bunkov Y.","journal-title":"Physica B"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/23\/6\/004"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(02)00682-6"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.60.7595"},{"key":"rf11","first-page":"057301\u2013(1)","volume":"63","author":"Casado S.","journal-title":"Phys. Rev. E"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2007-00171-2"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1126\/science.251.4999.1336"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/s10339-008-0235-x"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.5030"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.5210"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1080\/00018732.2010.514702"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/j.physc.2010.02.050"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.4739"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401003930"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.13.585"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1038\/368315a0"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/9\/8\/029"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/0370-1573(80)90091-5"},{"key":"rf28","volume-title":"Chemical Oscillations, Waves and Turbulence","author":"Kuramoto Y.","year":"2003"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.197001"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1002\/cplx.20352"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.78.046305"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.79.046201"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127410026125"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1023\/A:1017565515972"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.89.080603"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.67.104506"},{"key":"rf39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.180604"},{"key":"rf40","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.77.054509"},{"key":"rf41","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.80.180501"},{"key":"rf42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.R1303"},{"key":"rf43","doi-asserted-by":"publisher","DOI":"10.1016\/j.physletb.2010.02.037"},{"key":"rf44","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71269-5"},{"key":"rf45","doi-asserted-by":"publisher","DOI":"10.1142\/S0217751X02005426"},{"key":"rf46","doi-asserted-by":"publisher","DOI":"10.1080\/00107510310001607206"},{"key":"rf47","doi-asserted-by":"publisher","DOI":"10.1038\/382334a0"},{"key":"rf48","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.80.1465"},{"key":"rf49","doi-asserted-by":"publisher","DOI":"10.1038\/nature05094"},{"key":"rf50","doi-asserted-by":"publisher","DOI":"10.1007\/s10909-008-9831-5"},{"key":"rf51","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.036213"},{"key":"rf52","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511535192"},{"key":"rf53","doi-asserted-by":"publisher","DOI":"10.1038\/nature07334"},{"key":"rf54","author":"Yusupov R.","journal-title":"Nature Phys."},{"key":"rf55","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.164102"},{"key":"rf56","doi-asserted-by":"publisher","DOI":"10.1038\/317505a0"},{"key":"rf57","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(96)00009-9"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412501659","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:31:42Z","timestamp":1565173902000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412501659"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7]]},"references-count":52,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2012,8,12]]},"published-print":{"date-parts":[[2012,7]]}},"alternative-id":["10.1142\/S0218127412501659"],"URL":"https:\/\/doi.org\/10.1142\/s0218127412501659","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7]]}}}