Ottino group
Front Row (l-r): Richard Lueptow, Paul Park, Zafir Zaman, Julio M. Ottino
Second Row: Paul Umbanhowar, Austin Isner, Adam Spitulnik, Yi Fan
Back Row: Conor Schlick, Darius Wheeler, Dennis Diaz

Welcome to our website.

Please feel free to explore our website and learn more about what we do. The Laboratory for Complex Systems and Nonlinear Dynamics in Fluids and Granular Materials is directed and advised by Julio M. Ottino.

We are active participants in interdisciplinary research. For example, our group is strongly involved with the Northwestern Institute on Complex Systems (NICO).

Note: The copyright for published work resides with the journal or publisher. The PDF files provided here are for consultation purposes only. The material may not be reproduced, printed, or distributed without the permission of the appropriate copyright holder.

For recent publications, select Publications in the menu above. Also see the new Classic Papers section under Publications.

In the News

  • Julio M. Ottino reviews two biographies of Henri Poincaré in the October 2013 issue of Physics Today.
  • Julio Ottino spoke to IBM about the importance of whole-brain thinking™ at THINK: A Forum on the Future of Leadership. See the video.
  • See a word cloud of Julio M. Ottino's coauthors here.
  • In September 2008, J.M. Ottino co-organized an NSF workshop with John Guckenheimer from mathematics at Cornell University titled "Foundations for Complex Systems Research in the Physical Sciences and Engineering." The workshop was charged with identifying barriers and gaps that impede complex systems research. The report can be accessed here.
  • Former Ottino student appointed Director of IIT Bombay: Prof. Devang Khakhar, a student of Julio M. Ottino at the University of Massachusetts Amherst, has been appointed as the new director of IIT Bombay as of January 1, 2009. He joined the Department of Chemical Engineering at IIT Bombay in January 1987, and has been with the institute since then.
  • Professor Julio M. Ottino has received one of the most prestigious awards in physics, the 2008 Fluid Dynamics Prize of the American Physical Society (APS). The prize recognizes and encourages outstanding achievement in fluid dynamics research.

Upcoming and Past Events

New and Recent Articles

Mixing by cutting and shuffling 3D granular flow in spherical tumblers
G. Juarez, I.C. Christov, J.M Ottino, R.M. Lueptow, Chem. Eng. Sci., 73, 195–207 (2012).

Parameters and scalings for dry and immersed granular flowing layers in rotating tumblers
F. Pignatel, C. Asselin, L. Krieger, I.C. Christov, J.M. Ottino, R.M. Lueptow, Phys. Rev. E, 86, 011304 (2012).

Stratification, segregation and mixing of bi-disperse granular materials in quasi 2D heap flow
Y. Fan, J. Boukerkour, T. Blanc, P.B. Umbanhowar, J.M. Ottino, R.M. Lueptow, Phys. Rev. E, 86, 051305 (2012).

Cutting and shuffling a line segment: Mixing by interval exchange transformations
M. Krotter, I.C. Christov, J.M. Ottino, R.M. Lueptow, Int. J. Bifurcation and Chaos, 22, 1230041 (2012).

The Mathematical Foundations of Mixing

Recent Book

The Mathematical Foundations of Mixing
The Linked Twist Map as a Paradigm in Applications—Micro to Macro, Fluids to Solids
Rob Sturman, Julio M. Ottino and Stephen Wiggins

Read reviews of The Mathematical Foundations of Mixing from the American Mathematical Society, the European Mathematical Society and Dynamical Systems Magazine.

International Journal of Bifurcation and Chaos Cover December 2012
Cutting and shuffling a line segment: Mixing by interval exchange transformations by M. Krotter, I.C. Christov, J.M. Ottino, R.M. Lueptow from Int. J. Bifurcation and Chaos, 22(12), December 2012
NSF Complex System
Summary for the Foundations for Complex Systems Research by Julio M. Ottino and John Guckenheimer from an NSF Workshop in September 2008
Linked twist map formalism in two and three dimensions applied to mixing in tumbled granular flows
Linked twist map formalism in two and three dimensions applied to mixing in tumbled granular flows by R. Sturman, S.W. Meier, J.M. Ottino, and S.Wiggins from J. Fluid Mech., Vol.602, pp. 129-174, 2008
On Mixing and Demixing
On Mixing and Demixing by Julio M. Ottino and Richard M. Lueptow from Science, February 20, 2008
Rhythm Engineering
Rhythm engineering by William L. Kath and Julio M. Ottino from Science, June 29, 2007
Farewell by Julio M. Ottino
Farewell by Julio M. Ottino from AIChE Journal in August 2006 issue. Prof. Ottino steps down as Editor for the Perspectives section.
Building on Failure
Building on Failure, Nature, May 25, 2006, a review of Success Through Failure: The Paradox of Design by Henry Petroski