In ordinary differential equations of singular perturbation type, the dynamics of solutions near saddle-node bifurcations of equilibria are rich. Canard solutions can arise, which, after spending time near an attracting equilibrium, stay near a repelling branch of equilibria for long intervals of time before finally returning to a neighborhood of the attracting equilibrium (or of another attrac...

Absorption imaging and spectroscopy can probe the dynamics of an ultracold neutral plasma during the first few microseconds after its creation. Quantitative analysis of the data, however, is complicated by the inhomogeneous density distribution, expansion of the plasma and possible lack of global thermal equilibrium for the ions. In this paper, we describe methods for addressing these issues. U...

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2014 Electromagnetic plane wave momentum transfer to an inhomogeneous plasma slab has been evaluated for an arbitrary reflecting and absorbing plasma density profile based on Euler’s equation of motion but including a ponderomotive term. In the limit where the plasma density follows a step function, the Fresnel formulae for the coefficient of reflectivity have been obtained for both normal and ...

Sum rules describing perfect screening at equilibrium in a classical plasma are extended to the time-displaced structure function of an inhomogeneous onecomponent plasma. We find that there are long-wavelength modes which oscillate undamped with a single frequency 03, 032 being an angular average of the squared plasma frequency at infinity. Our results are derived heuristically, allowing also f...