000151708 001__ 151708 000151708 005__ 20251017144635.0 000151708 0247_ $$2doi$$a10.1088/1751-8121/aca940 000151708 0248_ $$2sideral$$a132773 000151708 037__ $$aART-2022-132773 000151708 041__ $$aeng 000151708 100__ $$aKamb, Mason 000151708 245__ $$aStatistical topology of the streamlines of a two-dimensional flow 000151708 260__ $$c2022 000151708 5060_ $$aAccess copy available to the general public$$fUnrestricted 000151708 5203_ $$aRecent experiments on mucociliary clearance, an important defense against airborne pathogens, have raised questions about the topology of two-dimensional (2D) flows, such as the proportion of topologically closed and open streamlines. We introduce a framework for studying ensembles of 2D time-invariant flow fields and estimating the probability for a particle to leave a finite area (to clear out). We establish two upper bounds on this probability by leveraging different insights about the distribution of flow velocities on the closed and open streamlines. We also deduce an exact power-series expression for the trapped area based on the asymptotic dynamics of flow-field trajectories and complement our analytical results with numerical simulations. 000151708 536__ $$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-094684-B-C21 000151708 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000151708 590__ $$a2.1$$b2022 000151708 591__ $$aPHYSICS, MATHEMATICAL$$b14 / 56 = 0.25$$c2022$$dQ1$$eT1 000151708 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b47 / 85 = 0.553$$c2022$$dQ3$$eT2 000151708 592__ $$a0.718$$b2022 000151708 593__ $$aMathematical Physics$$c2022$$dQ2 000151708 593__ $$aModeling and Simulation$$c2022$$dQ2 000151708 593__ $$aStatistics and Probability$$c2022$$dQ2 000151708 593__ $$aStatistical and Nonlinear Physics$$c2022$$dQ2 000151708 593__ $$aPhysics and Astronomy (miscellaneous)$$c2022$$dQ2 000151708 594__ $$a4.0$$b2022 000151708 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000151708 700__ $$aByrum, Janie 000151708 700__ $$aHuber, Greg 000151708 700__ $$aLe Treut, Guillaume 000151708 700__ $$aMehta, Shalin 000151708 700__ $$aVeytsman, Boris 000151708 700__ $$0(orcid)0000-0001-7276-2942$$aYllanes, David 000151708 773__ $$g55, 50 (2022), 505001 [14 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113 000151708 8564_ $$s807568$$uhttps://zaguan.unizar.es/record/151708/files/texto_completo.pdf$$yVersión publicada 000151708 8564_ $$s588410$$uhttps://zaguan.unizar.es/record/151708/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000151708 909CO $$ooai:zaguan.unizar.es:151708$$particulos$$pdriver 000151708 951__ $$a2025-10-17-14:28:30 000151708 980__ $$aARTICLE