Our current research interests are focused on the areas of 1) Numerical Analysis, and Algorithm Development, especially in the area of discrete-time evolution of statistical and dynamical equations of motion, 2) atomic scale materials modeling and particle representation of matter such as vortex systems, soft matter, self-assembly, radiation damage, and crystalline materials, and 3) Macroscopic quantum systems and superconducting device physics with an emphasis on interpreting experiments that explore the boundary between classical and quantum behavior. This work touches on an ongoing interest in the dynamics and phase locking and synchronization of nonlinear oscillators and soliton systems. The interests revolve around the basic science of physical and dynamical systems as well as how the model equations are treated computationally. Parallel and high performance computing combined with efficient and appropriate algorithms for specific model equations of physical systems are at the core of our work, but most of the current interests is focused on the interaction between physical models and computational algorithms.
- Numerical methods and algorithm development
- Condensed matter and statistical physics
- Dynamical systems
- Molecular dynamics for hard and soft matter
- Radiation damage
- Electrostatic effects
- Superconducting device physics
- Macroscopic quantum systems
See list of Publications.