An Acoustic Eigenvalue Problem and its Relation to Electrochemistry - in preparation
Thin Layer Sonoelectrochemistry Impacts Rates of Electrode Reactions - in preparation
Sound waves have the capacity to generate the formation and collapse of bubbles. These bubbles offer enormous amounts of energy (temperatures similar to those found on the surface of the sun and pressures like those found at the bottom of the Mariana Trench). Harnessing this energy without the corrosive drawbacks is what we have developed in a class of electrochemical experiments. Further, understanding how the sound waves precisely affect these observations is where modeling comes in. For more information see my research statement shown above.
As the environment changes at a rapid rate the need for predicting the outcome becomes crucial. Sea ice plays an elemental role in contributing to environmental change, but perhaps more important, is that it also acts as an indicator of how fast the climate is changing. I am very interested in modeling sea ice and have begun formulating my own model. For more information see my research statement shown above.
Film Modified Electrodes
Film modified electrodes are widely used in many applications. Adding a film changes the conducting properties of the electrode. For these electrodes we began our model by using a convolution method. This assists our understanding by helping to discriminate against nonfaradaic capacitance and uncompensated resistance. In other words, unless we put the electrodes in solution at the same distance from one another for each experiment we will get an uncompensated resistance error.