| Intro. |
Research interests include Monte Carlo methods for materials science, especially the bulk properties of porous and composite media such as the electrical or thermal conductivity or shear modulus of structural composites; the permeability of porous media; the electrostatic contribution to the free energy of a bio-molecule in solution; and the mutual capacitance matrix describing interaction of micro-components in a transistor matrix on a microchip. In addition, our laboratory is interested in Ising models, molecular dynamics for ion implantation and kinetic Monte Carlo methods for dopant diffusion during thermal annealing after ion implantation into crystalline materials. The following studies are interested as well: Distributed computing, numerical analysis, solving partial differential equations with random walk, pseudorandom number generation, quasirandom number generation, quasi-Monte Carlo methods, first-passage algorithms and last-passage algorithms. This last-passage method stems from the consideration of the isomorphism between the electrostatic potential and the probability of going to infinity without touching a conducting object at a certain distance from the conductor. |
