000155428 001__ 155428 000155428 005__ 20240610121142.0 000155428 0247_ $$2doi$$a10.1039/C4SM00770K 000155428 0247_ $$2ISSN$$a1744-683X 000155428 0247_ $$2ISSN$$a1744-6848 000155428 0247_ $$2WOS$$aWOS:000340474400005 000155428 0247_ $$2Handle$$a2128/22935 000155428 037__ $$aFZJ-2014-04594 000155428 082__ $$a530 000155428 1001_ $$0P:(DE-Juel1)156233$$aTheers, Mario$$b0$$eCorresponding Author$$ufzj 000155428 245__ $$aEffects of thermal fluctuations and fluid compressibility on hydrodynamic synchronization of microrotors at finite ocillatory Reynolds number: a multiparticle collision dynamics simulation study 000155428 260__ $$aCambridge$$bRoyal Society of Chemistry (RSC)$$c2014 000155428 3367_ $$2DRIVER$$aarticle 000155428 3367_ $$2DataCite$$aOutput Types/Journal article 000155428 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1409056723_4720 000155428 3367_ $$2BibTeX$$aARTICLE 000155428 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000155428 3367_ $$00$$2EndNote$$aJournal Article 000155428 520__ $$aWe investigate the emergent dynamical behavior of hydrodynamically coupled microrotors by means of multiparticle collision dynamics (MPC) simulations. The two rotors are confined in a plane and move along circles driven by active forces. Comparing simulations to theoretical results based on linearized hydrodynamics, we demonstrate that time-dependent hydrodynamic interactions lead to synchronization of the rotational motion. Thermal noise implies large fluctuations of the phase-angle difference between the rotors, but synchronization prevails and the ensemble-averaged time dependence of the phase-angle difference agrees well with analytical predictions. Moreover, we demonstrate that compressibility effects lead to longer synchronization times. In addition, the relevance of the inertia terms of the Navier–Stokes equation are discussed, specifically the linear unsteady acceleration term characterized by the oscillatory Reynolds number ReT. 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