Alkesh Punjabi works as a Professor of mathematics, Professor of physics, and Director, Center for Fusion Research in Hampton University, Hampton, Va, USA. He obtained his B.S. (1971) and M.S. (1973) degrees in physics from Gujarat University in Ahmedabad, India, and his Ph.D. degree (1983) in physics from College of William and Mary, Williamsburg, Va, USA. Punjabi joined Hampton University in 1983. His area of research is application of nonlinear dynamics to controlled fusion in tokamaks. His research is focused on symplectic mathematical maps for calculation of magnetic field line trajectories in divertor tokamaks. Magnetic field lines are a 1½ degree of freedom Hamiltonian system. In divertor tokamaks, the equilibrium magnetic structure is axisymmetric. Magnetic perturbations break this symmetry and create chaos near the separatrix. The chaotic layer and the magnetic footprint have self-similar, fractal properties. Symplectic evolution of the separatrix manifold creates homoclinic tangles. The generic topological structure of magnetic surfaces and effects of asymmetries and their connection with physics of plasmas in tokamaks are studied using mathematical maps. Some of his recent publications include the following: “An accurate symplectic calculation of the inboard magnetic footprint from statistical topological noise and field errors in the DIII-D,” A. Punjabi and H. Ali, Physics of Plasmas 18, 022509 (2011); “Comparison of inboard and outboard magnetic footprints from topological noise and field errors in the DIII-D,” A. Punjabi and H. Ali, Radiation Effects and Defects in Solids: Incorporating Plasma Science and Plasma Technology 166, 806-820 (2011); “Magnetic barriers and their q95 dependence at DIII-D,” F.A. Volpe, J. Kessler, H. Ali, T.E. Evans and A. Punjabi, Nuclear Fusion 52, 054017 (2012).
Biography Updated on 22 January 2013