Thursday, June 26, 200811:00 AM - 12:00 PMCNLS Conference Room (TA-3, Bldg 1690)|
Ground state configurations on surfaces: hexagons and minimal zeta functions
Prof. Doug HardinVanderbilt University, Mathematics Department
We consider asymptotic properties of ground state
configurations of point charges restricted to a conducting surface and interacting through an inverse power law potential as the number of points goes to infinity. Experimentally, it appears that the local structure of such configurations is almost everywhere hexagonal. We relate this to a conjecture that a certain constant appearing in the asymptotic expansion
of the total energy is given by the Epstein zeta function on a hexagonal lattice.
Host: Razvan Teodorescu, T-CNLS and T-13