Publications and Preprints
In preparation and in submission
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E. Lanneau and J.-L. Thiffeault,
On the minimum dilatation of braids on the punctured disc,
in preparation.
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J.-L. Thiffeault and S. Childress,
Stirring by swimming bodies,
in preparation.
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L. Ó Náraigh and J.-L. Thiffeault,
Nonlinear dynamics of phase separation in thin films, in submission.
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E. Gouillart, J.-L. Thiffeault, and O. Dauchot,
Rotation shields chaotic mixing regions from no-slip walls, in submission.
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E. Lanneau and J.-L. Thiffeault,
On the minimum dilatation of pseudo-Anosov homeomorphisms on surfaces
of small genus, in submission.
Published in refereed journals
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J.-L. Thiffeault,
Braids of entangled particle trajectories, Chaos, in press.
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E. Gouillart, O. Dauchot, J.-L. Thiffeault, and S. Roux,
Open-flow Mixing: Experimental Evidence for Strange Eigenmodes,
Physics of Fluids 21 (2), 023603, 2009.
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L. Ó Náraigh and J.-L. Thiffeault,
Bounds on the Mixing Enhancement for a Stirred Binary Fluid,
Physica D 237, 2673–2684, 2008.
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E. Gouillart, O. Dauchot, B. Dubrulle, S. Roux,
and J.-L. Thiffeault,
Slow Decay of Concentration Variance Due to No-slip Walls in
Chaotic Mixing, Physical Review E 78, 026211, August 2008.
Featured in PRE's
kaleidoscope.
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J.-L. Thiffeault, M. D. Finn, E. Gouillart, and T. Hall,
Topology of Chaotic Mixing Patterns, Chaos 18, 033123,
September 2008.
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T. Okabe, B. Eckhardt, J.-L. Thiffeault, and C. R. Doering,
Mixing Effectiveness
Depends on the Source Distribution: Simulation Results,
Journal
of Statistical Mechanics:
Theory and Experiments 2008 (7), P07018,
July 2008.
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J.-L. Thiffeault and G. A. Pavliotis,
Optimizing the Source Distribution in Fluid Mixing,
Physica D 237 (7), 918–929, June 2008.
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L. Ó Náraigh and J.-L. Thiffeault,
Dynamical Effects and Phase Separation in Cooled Binary Fluid Films,
Physical Review E 76, 035303, September 2007.
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E. Gouillart, N. Kuncio, O. Dauchot, B. Dubrulle, S. Roux,
and J.-L. Thiffeault,
Walls Inhibit Chaotic Mixing, Physical Review Letters
99, 114501, 2007. Featured as a
Physics World
and Sciences et Avenir news item.
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T. A. Shaw, J.-L. Thiffeault, and C. R. Doering,
Stirring up Trouble: Multi-scale
Mixing Measures for Steady Scalar Sources, Physica D 231 (2),
143-164, July 2007.
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M. D. Finn and J.-L. Thiffeault,
Topological Entropy of Braids on
the Torus, SIAM Journal on Applied Dynamical Systems 6,
79-98, 2007.
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L. Ó Náraigh and J.-L. Thiffeault,
Bubbles and Filaments:
Stirring a Cahn–Hilliard Fluid, Physical Review E 75,
016216, January 2007.
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J.-L. Thiffeault and M. D. Finn,
Topology, Braids, and Mixing in
Fluids, Philosophical Transactions of the Royal Society A
364, 3251-3266, December 2006.
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A. Roy, L. Mahadevan, and J.-L. Thiffeault,
Fall and Rise of a
Viscoelastic Filament, Journal of Fluid Mechanics 563,
283-292, September 2006.
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M. D. Finn, J.-L. Thiffeault, and E. Gouillart, Topological Chaos in Spatially
Periodic Mixers, Physica D 221 (1),
92-100, September 2006.
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C. R. Doering and J.-L. Thiffeault,
Multiscale Mixing
Efficiencies for Steady Sources, Physical Review E
74 (2), 025301(R), August 2006.
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E. Gouillart, J.-L. Thiffeault, and M. D. Finn,
Topological Mixing with Ghost Rods, Physical Review E
73, 036311, March 2006.
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J.-L. Thiffeault,
Measuring Topological Chaos, Physical Review Letters
94 (8), 084502, March 2005.
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J.-L. Thiffeault, C. R. Doering, and J. D. Gibbon,
A Bound on Mixing Efficiency for the Advection-Diffusion Equation,
Journal of Fluid Mechanics 521, 105-114, December 2004.
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J.-L. Thiffeault,
Stretching and Curvature along Material Lines in Chaotic Flows,
Physica D 198 (3-4), 169-181, November 2004.
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J.-L. Thiffeault,
The Strange Eigenmode in Lagrangian Coordinates, Chaos
14 (3), 531-538, September 2004.
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E. A. Spiegel and J.-L. Thiffeault,
Higher-order Continuum Approximation for Rarefied Gases,
Physics of Fluids 15 (11), 3558-3567, November 2003.
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J.-L. Thiffeault and S. Childress,
Chaotic Mixing in a Torus Map,
Chaos 13 (2), 502-507, June 2003.
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J.-L. Thiffeault,
Advection-Diffusion in Lagrangian Coordinates,
Physics Letters A 309 (5-6), 415-422, March 2003.
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J.-L. Thiffeault,
Finite Extension of Polymers in Turbulent Flow,
Physics Letters A 308 (5-6), 445-450, March 2003.
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J.-L. Thiffeault and A. H. Boozer,
The Onset of Dissipation in the Kinematic Dynamo,
Physics of Plasmas 10 (1), 259-265, January 2003.
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J.-L. Thiffeault,
Derivatives and Constraints in Chaotic Flows: Asymptotic Behaviour and
a Numerical Method, Physica D 172 (1-4), 139-161,
November 2002.
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J.-L. Thiffeault, Covariant
Time Derivatives for Dynamical Systems, Journal of
Physics A 34 (29), 5875-5885, July 2001.
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J.-L. Thiffeault and P. J. Morrison, The Twisted Top,
Physics Letters A 283 (5-6), 335-341, May 2001.
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J.-L. Thiffeault and A. H. Boozer, Geometrical Constraints on
Finite-time
Lyapunov Exponents in Two and Three Dimensions, Chaos
11 (1), 16-28, March 2001.
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J. P. Smith, J.-L. Thiffeault, and W. Horton, Dynamical Range of the WINDMI Model: An
exploration of possible magnetospheric plasma states, Journal
of Geophysical Research - Space Physics 105 (A6),
12983-12996, June 2000.
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J.-L. Thiffeault and P. J. Morrison, Classification and Casimir
Invariants of Lie-Poisson Brackets, Physica D 136
(3-4), 205-244, February 2000.
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J.-L. Thiffeault and W. Horton, Energy-conserving
Truncations for Convection with Shear Flow,
Physics of Fluids 8 (7), 1715-1719, July 1996.
Conference proceedings, unpublished preprints, and others
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J.-L. Thiffeault, E. Lanneau, and S. Matz,
The Cat's Cradle, Stirring, and Topological Complexity, Dynamical Systems Magazine, April 2009.
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M. D. Finn and J.-L. Thiffeault,
Topological Chaos in Flows on
Surfaces of Arbitrary Genus
, Paper presented at the
International Congress of Theoretical and Applied Mathematics,
Adelaide, Australia, 25–29 August 2008.
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J.-L. Thiffeault, E. Gouillart, and O. Dauchot,
Speeding Up Mixing with Moving Walls, Paper presented at the
International Congress of Theoretical and Applied Mathematics,
Adelaide, Australia, 25–29 August 2008.
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J.-L. Thiffeault and K. Kamhawi,
Chaotic Geodesics, in
Chaos,
Complexity, and Transport:
Theory and Applications, 2008 (World Scientific, Singapore).
(Proceedings of the Conference
CCT'07, Le Pharo, Marseille,
4–8 June 2007.)
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L. Ó Náraigh and J.-L. Thiffeault,
Nonlinear Dynamics of Phase Separation in
Ultra-thin Films,
unpublished preprint.
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J.-L. Thiffeault, Scalar
Decay in Chaotic Mixing, in Transport and Mixing in Geophysical
Flows, Lecture Notes in Physics 744, 3-35, 2008 (Springer,
Berlin). (Proceedings of the Gran Combin Summer School, Valle
d'Aosta, Italy, 14-24 June 2004.)
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J.-L. Thiffeault, E. Gouillart, and M. D. Finn,
The Size of Ghost
Rods, Proceedings of the Workshop on Analysis
and Control of Mixing with Applications to Micro and Macro Flow
Processes, CISM, Udine, Italy, 27 June–1 July 2005 (Springer-Verlag,
2006, in press).
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S. Sadokierski and J.-L. Thiffeault,
Heat Transfer in Underground Rail Tunnels,
unpublished preprint.
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J.-L. Thiffeault and K. Kamhawi,
Transport in Thin
Gravity-driven Flow over a Curved Substrate,
unpublished preprint.
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S. Hong, J.-L. Thiffeault, L. Fréchette, and V. Modi,
Numerical Study of Mixing in Microchannels with Patterned Zeta
Potential Surfaces,
Paper presented at IMECE 2003, ASME International Mechanical
Engineering Congress & Exposition, Washington, D.C., November 16-21, 2003.
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J.-L. Thiffeault,
Differential Constraints in Chaotic Flows on Curved Manifolds,
unpublished preprint.
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E. A. Spiegel and J.-L. Thiffeault,
Continuum Equations for Stellar Dynamics,
Stellar Astrophysical Fluid Dynamics: Proceedings of the Chateau de
Mons meeting in honour of Douglas Gough's 60th birthday (Cambridge
University Press, 2003), pp. 377-391.
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J.-L. Thiffeault, Classification, Casimir
Invariants, and Stability of Lie-Poisson Systems, Ph.D. Thesis,
The University of Texas at Austin, December 1998 (Supervisor: Philip
J. Morrison).
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J.-L. Thiffeault and P. J. Morrison,
Invariants and Labels in Lie-Poisson
Systems, Proceedings of the 13th Florida Workshop in Nonlinear
Dynamics and Chaos in Astrophysics, Annals of the New York Academy
of Sciences 867, 109-119, December 1998.
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J.-L. Thiffeault, Long-wave Instability
in Double-diffusive Marangoni Convection, Proceedings of the 1996
Summer program in Geophysical Fluid Dynamics, Woods Hole, MA.
Edited by Steve Meacham.
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J.-L. Thiffeault, Modeling Shear Flow in
Rayleigh–Benard Convection, Master's Thesis, The University
of Texas at Austin, August 1995 (Supervisor: C. Wendell Horton).
