Abstract
The Weibel instability is one of the basic plasma instabilities that plays an important role in stopping the hot electrons and energy deposition mechanism. In this paper, combined effect of the density gradient and quantum effects on Weibel instability growth rate is investigated. The results have shown that, by increasing the quantum parameter, for large wavelengths, the Weibel instability growth rate shrinks to zero. In the large wavelengths limit, the analysis shows that quantum effects and density gradient tend to stabilize the Weibel instability. The density perturbations have decreased the growth rate of Weibel instability in the near corona fuel,η>0.1. In the small wavelengths limit, for the density gradient,η<0.1, the tunneling quantum effects increase anisotropy in the phase space. The quantum tunneling effect leads to an unexpected increase in the Weibel instability growth rate.
Highlights
Quantum plasmas have attracted renowned attention in the recent years, due to, for example, the relevance of quantum effects in dense plasmas, very intense laser plasmas, and ultra-small semiconductor devices
The energy deposition of a relativistic electron beam in a plasma can be managed through sufficiently steep plasma density gradients [16–24]
Considering density gradient in fuel pellet in limit large wavelengths, quantum effects lead to increasing growth rates and smaller ranges for unstable wave numbers (Figure 2(a))
Summary
Quantum plasmas have attracted renowned attention in the recent years, due to, for example, the relevance of quantum effects in dense plasmas, very intense laser plasmas, and ultra-small semiconductor devices. It has been the central concept in several instances, like fast ignition scenarios [6–15], particle acceleration, and magnetic field generation in astrophysical settings, collective non-Abelian Weibel instabilities in melting color glass condensates, covariant relativistic scenarios, electron-positron relativistic shocks, and laser heated plasmas. The laser intensity is absorbed at a region with electron density of 0.02–1.0 of the critical density In this region the quantum effects are not totally negligible. For this purpose, the kinetic Wigner-Maxwell model which is the quantum counterpart of the Vlasov-Maxwell system has been used. The kinetic Wigner-Maxwell model which is the quantum counterpart of the Vlasov-Maxwell system has been used The aim of this contribution is to get detailed information about the influence of quantum effects on Weibel instability in density gradient of dense plasma
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