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Overview:

My primary interests are the properties and processes of finite systems. Finite systems often require descriptions spanning the statistical and dynamical, the classical and quantum mechanical. Molecules or clusters (more accurately, models of molecules or clusters) are my system of choice. Research is a combination of analytic theory and computation.

Projects:

(1) Chaotic dynamics in many-body, Hamiltonian systems:

In sum, we are studying the evolution from short-time local classical chaos to global, long-time chaos. We are assessing dynamical measures of the transition from order to chaos. Numerical experiments are used to simulate the dynamics of Lennard-Jones clusters of various sizes. From these simulations, we are calculating the spectra of Lyapunov exponents and the corresponding Kolmogorov-Sinai entropy.

(2) Statistical dynamics:

I'm studying the limiting interrelationships of the path and state representations of ensemble master equation solutions. The system is an arbitrary network with an energy dependent topology.