Research Areas

Primary research directions are in

• interdisciplinary science connecting physics to biology, chemistry, and engineering.
• mathematical modeling of epidemics and related ecosystems, and
• quantum transport in organic materials and decoherence in nanostructures,

Authored more than 250 papers published in refereed journals, as well as a monograph (on exciton transport) and a co-edited proceedings volume (on modern challenges in statistical mechanics). Research has involved 20 past Ph.D. students who now occupy leading university and industry positions in science all over the world, as well as several postdoctoral research associates, and has been financially supported by national and international funding agencies. Collaborations have been with national laboratories (Los Alamos, Sandia), industries (Xerox, Kodak, HI-Z), experimental groups (at Duesseldorf, Stuttgart, Stanford, Bologna, Sandia), and international groups (from USA, France, Germany, Italy, Britain, Brazil, Argentina, India, Denmark, Chile). Research areas are nonequilibrium statistical mechanics, mathematical biology, epidemiology, nanoscience, complex systems, chemical physics, solid state optics, materials science, nonlinear physics, and interdisciplinary science.

Research achievements have included formalistic contributions to nonequilibrium statistical mechanics, particularly quantum transport theory, understanding of experimental observations in sensitized luminescence and exciton/electron dynamics in molecular solids, and the solution of cross-disciplinary puzzles arising in spread of epidemics, energy transfer in photosynthetic systems, statistical mechanics of granular materials, and the theory of microwave sintering of ceramics. Earlier studies focused on self-trapping, solitons, theory of scanning tunneling microscopy, nuclear magnetic resonance in confined geometries, transport of charges, excitons, and polarons, dynamic disorder in molecular aggregates, vibrational relaxation in liquids, and master equation and random walk techniques. More recent work has concentrated on formation/tunneling of Bose-Einstein condensates, flow and stress distribution of granular materials, and understanding electron and hole transport in organic materials and in nanostructures including nanodevices. One of the primary current thrusts is in mathematical modeling of the spread of infectious diseases. Some activity also includes research on ecological systems, reaction diffusion systems, pattern formation, the microscopic origin of friction, and laser damage. The work is best described as being generally in transport and response phenomena in complex systems.