Physics Graduate student
My research focuses on studying the transition to chaotic behavior in complex systems and the breakdown of predictive ability that is often a result. In particular, we use a method of pattern control in a paradigm of pattern forming systems, Rayleigh-Bénard convection, in order to extract dynamically important information about the modes governing instability in this system. We also are currently applying an efficient forecasting algorithm to experimental data obtained from system states near or undergoing instability.
We extract the dynamical degrees of freedom directly from experimental data of a Rayleigh-Bénard convection system. These governing modes were obtained near various instability thresholds of the time-independent straight roll state, the crossing of which can lead to persistent chaotic behavior. These experimental results provide a complimentary perspective on the mechanisms of instability as obtained from numerical or theoretical investigations limited by modeling abilities.
Instability can form a major part of the factors limiting forecasting or control of many physical systems, from weather and geothermal events to biological and chemical systems, as well as industrial processes such as crystal growth. We are studying in a systematic fashion the role of instability on predictive power in Rayleigh-Bénard convection by applying a newly developed forecasting algorithm (the LETKF) to convection patterns experimentally prepared near instability points.
Extracting modal dynamics in Rayleigh-Benard convection (in preparation)
Direct measurement of the dispersion relation of capillary waves by laser interferometry (2006)
Schatz Research Group Home Page
GaTech Center for Nonlinear Science
Graduate Research Seminar
Physics Education Research