Publications

2018

• B. Suri, J. Tithof, R.O. Grigoriev, and M.F. Schatz. “Unstable equilibria and invariant manifolds in a quasi-two-dimensional Kolmogorov-like flow.” Phys. Rev. E 98, 023105 (2018).
• Daniel Borrero-Echeverry, Christopher J. Crowley, and Tyler P. Riddick. “Rheoscopic fluids in a post-Kalliroscope world.” Phys. Fluids 30, 087103 (2018).

2017

• J. Tithof, B. Suri, R.K. Pallantla, R.O. Grigoriev, and M.F. Schatz.  “Bifurcations in a quasi-two-dimensional Kolmogorov-like flow.” J. Fluid Mech. 828, 837–866 (2017).
• B. Suri, J. Tithof, R.O. Grigoriev, and M.F. Schatz. “Forecasting Fluid Flows Using the Geometry of Turbulence.” Phys. Rev. Lett. 118, 114501 (2017).

2016

• M. Kramar, R. Levanger, J. Tithof, B. Suri, M. Xu, M. Paul, M.F. Schatz, and K. Mischaikow. “Analysis of Kolmogorov Flow and Rayleigh-Bénard Convection using Persistent Homology.” Physica D 334, 82 (2016).

2014

• B. Suri, J. Tithof, R. Mitchell, R.O. Grigoriev, and M.F. Schatz, “Velocity Profile in a Two-Layer Kolmogorov-Like Flow,” Phys. Fluids 26, 053601 (2014).
• M.D. Caballero, J.B. Burk, J.M. Aiken, S.S. Douglas, E.M. Scanlon, B.D. Thoms, and M.F. Schatz, “Integrating Numerical Computation into the Modeling Instruction Curriculum,” Phys. Teach. 52, 38 (2014).

2013

• J.M. Aiken, S. Lin, S.S. Douglas, E.F. Greco, B.D. Thoms, M.F. Schatz, and M.D. Caballero, “The Initial State of Students Taking an Introductory Physics MOOC,” PERC Proceedings, 53-56 (2013).
• J.M. Aiken, M.D. Caballero, S.S. Douglas, J.B. Burk, E.M. Scanlon, B.D. Thoms, and M.F. Schatz, “Understanding student computational thinking with computational modeling,” AIP Conf. Proc. 1513, 46-49 (2013).

2012

• M.D. Caballero, E.F. Greco, E.R. Murray, K.R. Bujak, M.J. Marr, R. Catrambone, M.A. Kohlmyer, and M.F. Schatz, “Comparing large lecture mechanics curricula using the Force Concept Inventory: a five thousand student study,” Am. J. Phys. 80, 638 (2012).
• M.D. Caballero, M.A. Kohlmyer, and M.F. Schatz, “Implementing and assessing computational modeling in introductory mechanics,” Phys. Rev. ST-PER 8, 020106 (2012).
• P. Cvitanović, D. Borrero-Echeverry, K.M. Carroll, B. Robbins, and E. Siminos, “Cartography of high-dimensional flows: A visual guide to sections and slices,” Chaos 22, 047506 (2012).

2011

• K. Wiesenfeld and D. Borrero-Echeverry, “Huygens (and Others) Revisited,” Chaos 21, 047515 (2011).
• H. Kurtuldu, K. Mischaikow, and M.F. Schatz, “Measuring the departures from the Boussinesq approximation in Rayleigh-Bénard convection experiments,” J. Fluid Mech. 682, 543-557 (2011).
• A.C. Perkins, R.O. Grigoriev, and M.F. Schatz, “Modal Spectra Extracted from Nonequilibrium Fluid Patterns in Laboratory Experiments on Rayleigh-Bénard Convection,” Phys. Rev. Lett. 107, 064501 (2011).
• H. Kurtuldu, K. Mischaikow, and M.F. Schatz, “Extensive Scaling from Computational Homology and Karhunen-Loeve Decomposition Analysis of Rayleigh-Bénard Convection Experiments,” Phys. Rev. Lett. 107, 034503 (2011).

2010

• D. Borrero-Echeverry, M.F. Schatz, and R. Tagg, “Transient turbulence in Taylor-Couette flow,” Phys. Rev. E 81, 025301(R) (2010).

2009

• M. Cornick, B. Hunt, E. Ott, H. Kurtuldu, and M.F. Schatz, “State and parameter estimation of spatiotemporally chaotic systems illustrated by an application to Rayleigh-Bénard convection,” Chaos 19, 013108 (2009).
• M.A. Kohlmyer, M.D. Caballero, R. Catrambone, R.W. Chabay, L. Ding, M.P. Haugan, M.J. Marr, B.A. Sherwood, and M.F. Schatz, “Tale of two curricula: The performance of 2000 students in introductory electromagnetism,” Phys. Rev. ST-PER 5, 020105 (2009).

For a full list of publications, click here.
For a list of our publications on Physics education, click here.

Ph.D. Dissertations

• Jeffrey Tithof. Novel methods of dimensionality reduction applied to a two-dimensional fluid flow. Diss., Georgia Institute of Technology, Atlanta, 2016.
• Daniel Borrero. Subcritical Transition to Turbulence in Taylor-Couette Flow. Diss., Georgia Institute of Technology, Atlanta, 2014.
• Adam C. Perkins. Mechanisms of instability in Rayleigh-Bénard convection. Diss., Georgia Institute of Technology, Atlanta, 2011.
• Marcos D. Caballero. Evaluating and Extending a Novel Course Reform of Introductory Mechanics. Diss., Georgia Institute of Technology, Atlanta, 2011.
• Hüseyin Kurtuldu. New methods of characterizing spatio-temporal patterns in laboratory experiments. Diss., Georgia Institute of Technology, Atlanta, 2010.
• Kapilanjan Krishan. Characterizations of spatio-temporal complex systems. Diss., Georgia Institute of Technology, Atlanta, 2005.
• Denis B. Semwogerere. Wave Number Selection and Defect Dynamics in Patterns with Hexagonal Symmetry. Diss., Georgia Institute of Technology, Atlanta, 2003.
• Jeffrey L. Rogers. Modulated pattern formation: stabilization, complex-order, and symmetry. Diss., Georgia Institute of Technology, Atlanta, 2001.

Masters Theses

• John M. Aiken. Transforming High School Physics with Modeling and Computation. Masters Thesis, Georgia State University, Atlanta, 2013. (Co-advisor, Brian D. Thoms at GSU).