Abstract
We look at the effect of wave collapse turbulence on a hydrogen line shape in plasma. An atom immersed in plasma affected by strong Langmuir turbulence may be perturbed by a sequence of wave packets with a maximum electric field magnitude that is larger than the Holtsmark field. For such conditions, we propose to calculate the shape of the hydrogen Lyman α Lyman β and Balmer α lines with a numerical integration of the Schrödinger equation coupled to a simulation of a sequence of electric fields modeling the effects of the Langmuir wave. We present and discuss several line profiles of Lyman and Balmer lines.
Highlights
The problem of plasma turbulence is of interest both from a theoretical point of view and from an experimental one for laboratory, fusion, and astrophysical plasmas
We studied the case of nonlinear wave collapse turbulence, a phenomenon occurring in the presence of an external source of energy, and coupling nonlinearly to the Langmuir waves with ion sound and electromagnetic waves
We calculate the dipole autocorrelation function C(t) and the line profile for Lyman α (Lα), Lyman β (Lβ), and Hα, for a density of 1019 m−3 and for a temperature of 105 K, conditions which can be found in the edge of a tokamak plasma
Summary
The problem of plasma turbulence is of interest both from a theoretical point of view and from an experimental one for laboratory, fusion, and astrophysical plasmas. Plasma turbulence affects the transport and radiation properties of many kinds of plasma. The quality of the plasma confinement is strongly dependent on the level of turbulent fluctuations. The first observations of turbulent fluctuations have been made in astrophysics on line shapes dominated by the Doppler effect [1,2]. If nonthermal movements take place on the line of sight, the line shape no longer corresponds to a Maxwellian velocity distribution at the emitter temperature. A nonthermal velocity is defined as one that allows a quantitative measure of turbulence
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