{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T06:45:18Z","timestamp":1790664318947,"version":"4.1.0"},"reference-count":27,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2017,2,17]],"date-time":"2017-02-17T00:00:00Z","timestamp":1487289600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["OUTEFLUCOP"],"award-info":[{"award-number":["OUTEFLUCOP"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Spanish Government","award":["TerMic (FIS2014-52486-R)"],"award-info":[{"award-number":["TerMic (FIS2014-52486-R)"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We report the observation of a temperature-controlled synchronization of two Brownian-particles in a binary mixture close to the critical point of the demixing transition. The two beads are trapped by two optical tweezers whose distance is periodically modulated. We notice that the motion synchronization of the two beads appears when the critical temperature is approached. In contrast, when the fluid is far from its critical temperature, the displacements of the two beads are uncorrelated. Small changes in temperature can radically change the global dynamics of the system. We show that the synchronisation is induced by the critical Casimir forces. Finally, we present the measure of the energy transfers inside the system produced by the critical interaction.<\/jats:p>","DOI":"10.3390\/e19020077","type":"journal-article","created":{"date-parts":[[2017,2,17]],"date-time":"2017-02-17T12:10:34Z","timestamp":1487333434000},"page":"77","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Energy Transfer between Colloids via Critical Interactions"],"prefix":"10.3390","volume":"19","author":[{"given":"Ignacio","family":"Mart\u00ednez","sequence":"first","affiliation":[{"name":"Laboratoire de Physique, \u00c9cole Normale Sup\u00e9rieure, CNRS UMR5672 46 All\u00e9e d\u2019Italie, Lyon 69364, France"},{"name":"Departamento de F\u00edsica At\u00f3mica, Molecular y Nuclear and Grupo Interdisciplinar de Sistemas Complejos, Universidad Complutense de Madrid, Madrid 28040, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Clemence","family":"Devailly","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique, \u00c9cole Normale Sup\u00e9rieure, CNRS UMR5672 46 All\u00e9e d\u2019Italie, Lyon 69364, France"},{"name":"Scottish Universities Physics Alliance and School of Physics and Astronomy, The University of Edinburgh, James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Artyom","family":"Petrosyan","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique, \u00c9cole Normale Sup\u00e9rieure, CNRS UMR5672 46 All\u00e9e d\u2019Italie, Lyon 69364, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sergio","family":"Ciliberto","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique, \u00c9cole Normale Sup\u00e9rieure, CNRS UMR5672 46 All\u00e9e d\u2019Italie, Lyon 69364, France"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,2,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.physrep.2012.03.004","article-title":"Collective motion","volume":"517","author":"Vicsek","year":"2012","journal-title":"Phys. Rep."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1126\/science.1149802","article-title":"Emission of coherent THz radiation from superconductors","volume":"318","author":"Ozyuzer","year":"2007","journal-title":"Science"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"L71","DOI":"10.1086\/184153","article-title":"Synchronization of magnetic stars in binary systems","volume":"274","author":"Lamb","year":"1983","journal-title":"Astrophys. J."},{"key":"ref_4","first-page":"152","article-title":"Synchronization in eclipsing binary stars","volume":"131","author":"Giuricin","year":"1984","journal-title":"Astron. Astrophys."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"7669","DOI":"10.1073\/pnas.0912455107","article-title":"Hydrodynamic synchronization of colloidal oscillators","volume":"107","author":"Kotar","year":"2010","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1098\/rsta.2000.0805","article-title":"Measurement of the hydrodynamic forces between two polymer\u2013coated spheres","volume":"359","author":"Bartlett","year":"2001","journal-title":"Philos. Trans. R. Soc. Lond. Ser. A"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2108","DOI":"10.1039\/c003836a","article-title":"The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet","volume":"10","author":"Gao","year":"2010","journal-title":"Lab Chip"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3693","DOI":"10.1039\/c3sm27363f","article-title":"Emergent colloidal dynamics in electromagnetic fields","volume":"9","author":"Dobnikar","year":"2013","journal-title":"Soft Matter"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"578","DOI":"10.1038\/nature11619","article-title":"Linking synchronization to self-assembly using magnetic Janus colloids","volume":"491","author":"Yan","year":"2012","journal-title":"Nature"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1140\/epje\/i2011-11026-7","article-title":"Stochastic thermodynamics of single enzymes and molecular motors","volume":"34","author":"Seifert","year":"2011","journal-title":"Eur. Phys. J. E"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Sekimoto, K. (2010). Stochastic Energetics, Springer.","DOI":"10.1007\/978-3-642-05411-2"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1146\/annurev-conmatphys-030212-184240","article-title":"Fluctuations, Linear Response, and Currents in Out-of-Equilibrium Systems","volume":"4","author":"Ciliberto","year":"2013","journal-title":"Annu. Rev. Condens. Matter Phys."},{"key":"ref_13","first-page":"207","article-title":"Phenomenes aux parois dans un melange binaire critique","volume":"287","author":"Fisher","year":"1978","journal-title":"CR Acad. Sci. Ser. B"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1038\/nature06443","article-title":"Direct measurement of critical Casimir forces","volume":"451","author":"Hertlein","year":"2008","journal-title":"Nature"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1584","DOI":"10.1038\/ncomms2597","article-title":"Controlling colloidal phase transitions with critical Casimir forces","volume":"4","author":"Faber","year":"2013","journal-title":"Nat. Commun."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"5522","DOI":"10.1364\/AO.51.005522","article-title":"Force mapping of an optical trap using an acousto-optical deflector in a time-sharing regime","volume":"51","author":"Petrov","year":"2012","journal-title":"Appl. Opt."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"061143","DOI":"10.1103\/PhysRevE.80.061143","article-title":"Critical Casimir effect in classical binary liquid mixtures","volume":"80","author":"Gambassi","year":"2009","journal-title":"Phys. Rev. E"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1021\/j150646a029","article-title":"Cloud point transition in nonionic micellar solutions","volume":"88","author":"Corti","year":"1984","journal-title":"J. Phys. Chem."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1852","DOI":"10.1103\/PhysRevLett.60.1852","article-title":"Observation of 3D-Ising exponents in micellar solutions","volume":"60","author":"Dietler","year":"1988","journal-title":"Phys. Rev. Lett."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2837","DOI":"10.1063\/1.473381","article-title":"Measurement of the hydrodynamic corrections to the Brownian motion of two colloidal spheres","volume":"106","author":"Crocker","year":"1997","journal-title":"J. Chem. Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"078901","DOI":"10.1103\/PhysRevLett.107.078901","article-title":"Comment on \u201cInfluence of Noise on Force Measurements\u201d","volume":"107","author":"Mannella","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/BF01012607","article-title":"Adiabatic Elimination for Systems of Brownian Particles with Nonconstant Damping Coefficients","volume":"28","author":"Sancho","year":"1982","journal-title":"J. Stat. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1062","DOI":"10.1103\/PhysRevLett.51.1062","article-title":"Observation of a Noise-Induced Phase Transition with an Analog Simulator","volume":"51","author":"Smythe","year":"1983","journal-title":"Phys. Rev. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"051111","DOI":"10.1103\/PhysRevE.75.051111","article-title":"Biased diffusion in confined media: Test of the Fick-Jacobs approximation and validity criteria","volume":"75","author":"Burada","year":"2007","journal-title":"Phys. Rev. E"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.1103\/PhysRevA.28.1567","article-title":"Dynamic scaling function for critical fluctuations in classical fluids","volume":"28","author":"Burstyn","year":"1983","journal-title":"Phys. Rev. A"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"032159","DOI":"10.1103\/PhysRevE.87.032159","article-title":"Effective heating to several thousand kelvins of an optically trapped sphere in a liquid","volume":"87","author":"Parrondo","year":"2013","journal-title":"Phys. Rev. E"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"60004","DOI":"10.1209\/0295-5075\/107\/60004","article-title":"Energy flow between two hydrodynamically coupled particles kept at different effective temperatures","volume":"107","author":"Petrosyan","year":"2014","journal-title":"Europhys. Lett."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/2\/77\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:28:30Z","timestamp":1760207310000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/2\/77"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,17]]},"references-count":27,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,2]]}},"alternative-id":["e19020077"],"URL":"https:\/\/doi.org\/10.3390\/e19020077","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,17]]}}}