Invariant barriers to reactive front propagation in fluid flows

We present theory and experiments on the dynamics of reaction fronts in two-dimensional, vortex-dominated flows, for both time-independent and periodically driven cases. We find that the front propagation process is controlled by one-sided barriers that are either fixed in the laboratory frame (time-independent flows) or oscillate periodically (periodically driven flows). We call these barriers burning invariant manifolds (BIMs), since their role in front propagation is analogous to that of invariant manifolds in the transport and mixing of passive impurities under advection. Theoretically, the BIMs emerge from a dynamical systems approach when the advection-reaction-diffusion dynamics is recast as an ODE for front element dynamics. Experimentally, we measure the location of BIMs for several laboratory flows and confirm their role as barriers to front propagation.

Barriers to front propagation in ordered and disordered vortex flows

We present experiments on reactive front propagation in a two-dimensional (2D) vortex chain flow (both time-independent and time-periodic) and a 2D spatially disordered (time-independent) vortex-dominated flow. The flows are generated using magnetohydrodynamic forcing techniques, and the fronts are produced using the excitable, ferroin-catalyzed Belousov-Zhabotinsky chemical reaction. In both of these flows, front propagation is dominated by the presence of burning invariant manifolds (BIMs) that act as barriers, similar to invariant manifolds that dominate the transport of passive impurities. Convergence of the fronts onto these BIMs is shown experimentally for all of the flows studied. The BIMs are also shown to collapse onto the invariant manifolds for passive transport in the limit of large flow velocities. For the disordered flow, the measured BIMs are compared to those predicted using a measured velocity field and a three-dimensional set of ordinary differential equations that describe the dynamics of front propagation in advection-reaction-diffusion systems.

Change in First-Year Women's Body Dissatisfaction in Relation to Drive for Thinness and Social Body Comparison

Drive for thinness (DT) and social body comparison (SBC) have been highly correlated with body dissatisfaction, a robust risk factor for eating disorders; however, there is little understanding of how these two variables relate to increases in body dissatisfaction over time. In the present study, I investigated how high initial levels of DT and SBC correlate with changes in body dissatisfaction and ideal body by surveying 110 first-year women at the beginning and end of their first semester. There was no significant relationship between high initial DT and SBC and changes in either body dissatisfaction or ideal body. However, high initial SBC was almost significantly correlated with change in ideal body due to women with low SBC choosing larger bodies at follow-up. In addition, women with high initial DT and SBC had higher body dissatisfaction than women with low initial levels of both variables. Women with high initial SBC chose thinner ideal bodies than women with low initial SBC. Lastly, change in body dissatisfaction was negatively correlated with change in ideal body. If replicated, I would hope these findings could contribute to a better understanding of how women’s perception of their bodies changes over the course of their first semester in college and inform interventions to address this potential risk factor for disordered eating.