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Frontiers of chaotic advection

Hassan Aref, John R. Blake, Marko Budišić, Silvana S. S. Cardoso, Julyan H. E. Cartwright, Herman J. H. Clercx, Kamal El Omari, Ulrike Feudel, Ramin Golestanian et al.

Hassan Aref

  • Engineering Science & Mechanics, Virginia Tech, Blacksburg, Virginia 24061, USA

John R. Blake

  • School of Mathematics, University of Birmingham, Edgbaston, Birmingham, United Kingdom

Marko Budišić

  • Department of Mathematics and Clarkson Center for Complex Systems Science (C3S2), Clarkson University, Potsdam, New York 13699, USA

Silvana S. S. Cardoso

  • Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge, United Kingdom

Julyan H. E. Cartwright

  • Instituto Andaluz de Ciencias de la Tierra, CSIC–Universidad de Granada and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain

Herman J. H. Clercx

  • Fluid Dynamics Laboratory, Department of Applied Physics and JM Burgerscentrum, Eindhoven University of Technology, Eindhoven, The Netherlands

Kamal El Omari

  • Université Pau & Pays Adour, Laboratoire des Sciences de l’Ingénieur Appliquées à la Mécanique et au Génie Électrique—Fédération IPRA, EA4581, Pau, France

Ulrike Feudel

  • Institut für Chemie und Biologie des Meeres, Carl von Ossietzky Universität Oldenburg, Oldenburg, Germany

Ramin Golestanian

  • Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford, United Kingdom

Emmanuelle Gouillart

  • Surface du Verre et Interfaces, UMR 125 CNRS/Saint-Gobain, Aubervilliers, France

GertJan F. van Heijst

  • Fluid Dynamics Laboratory, Department of Applied Physics and JM Burgerscentrum, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands

Tatyana S. Krasnopolskaya

  • Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

Yves Le Guer

  • Université Pau & Pays Adour, Laboratoire des Sciences de l’Ingénieur Appliquées à la Mécanique et au Génie Électrique—Fédération IPRA, EA4581, Pau, France

Robert S. MacKay

  • Mathematics Institute, University of Warwick, Coventry, United Kingdom

Vyacheslav V. Meleshko

  • Department of Theoretical and Applied Mechanics, Kiev National Taras Shevchenko University, Kiev, Ukraine

Guy Metcalfe

  • School of Mathematical Sciences and MAXIMA Academy for Cross & Interdisciplinary Mathematical Applications, Monash University, Clayton, Australia

Igor Mezić

  • Departments of Mechanical Engineering and Mathematics, University of California, Santa Barbara, California 93106, USA

Alessandro P. S. de Moura

  • Institute for Complex Systems and Mathematical Biology, King’s College, University of Aberdeen, Aberdeen, United Kingdom

Oreste Piro

  • Department of Physics, University of the Balearic Islands, Palma de Mallorca, Spain

Michel F. M. Speetjens

  • Department of Mechanical Engineering and JM Burgerscentrum, Eindhoven University of Technology, Eindhoven, The Netherlands

Rob Sturman

  • Department of Applied Mathematics, University of Leeds, Leeds, United Kingdom

Jean-Luc Thiffeault

  • Department of Mathematics, University of Wisconsin—Madison, Madison, Wisconsin 53706, USA

Idan Tuval

  • Mediterranean Institute for Advanced Studies (CSIC-UIB), Esporles, Spain

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Rev. Mod. Phys. 89, 025007 – Published 14 June, 2017

DOI: https://doi.org/10.1103/RevModPhys.89.025007

Abstract

This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid mechanics and nonlinear dynamics, which encompasses a range of applications with length scales ranging from micrometers to hundreds of kilometers, including systems as diverse as mixing and thermal processing of viscous fluids, microfluidics, biological flows, and oceanographic and atmospheric flows.

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Rev. Mod. Phys. 89, 025007– Published 14 June, 2017
  • Received 28 September 2016

© 2017 American Physical Society

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