2008 **Abstract:** Abstract. The quantum effect on the Weibel instability in an unmagnetized plasma is presented. Our analysis shows that the quantum effect tends to stabilize the Weibel instability in the hydrodynamic regime, whereas it produces a new oscillatory instability in the kinetic regime. A novel effect called the quantum damping, which is associated with the Landau damping, is disclosed. The new quantum Weibel instability may be responsible for the generation of non-stationary magnetic fields in compact astrophysical …

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“…in quantum plasmas, the effects of such particle dispersion and the Fermi pressure have been covered by fluid theory models . In addition, the magnetic dipole force associated with spin is included in these models, while in the kinetic theory the most covered effects are relevant to the particles' dispersive effects and the Fermi pressure . Recent studies, in the context of isotropic plasmas, have shown that new kinds of particle–wave interaction will occur in the presence of spin effects, while these interactions cannot be visualized in quantum fluid models.…”

confidence: 99%

“…in quantum plasmas, the effects of such particle dispersion and the Fermi pressure have been covered by fluid theory models . In addition, the magnetic dipole force associated with spin is included in these models, while in the kinetic theory the most covered effects are relevant to the particles' dispersive effects and the Fermi pressure . Recent studies, in the context of isotropic plasmas, have shown that new kinds of particle–wave interaction will occur in the presence of spin effects, while these interactions cannot be visualized in quantum fluid models.…”

confidence: 99%

“…This subject has always been interesting for researchers . Studies on electromagnetic instabilities show that the presence of quantum effects tends to weaken or suppress the instability compared to classic cases, where, in the astrophysical plasmas, the high densities tend to enhance quantum effects. These effects are often associated with particle dispersive effects (delocalized wave function).…”

confidence: 99%

“…WI in relativistic plasma which absorbed high-energy electromagnetic impulse [2] is considerably different comparing to WI occurring in the current sheet of Earth's magnetotail [3], which in turn differs from WI of intense ion beams [4]. Recent researches indicate that WI might have an important role in dense quantum plasmas [5], where WI is supposed to be responsible for the generation of non-stationary magnetic fields in compact astrophysical objects as well as in laser fusion experiments.…”

confidence: 99%

“…The Weibel instability is one of the basic plasma instabilities and is driven by an anisotropic velocity distribution of plasma particles [18,19]. The quantum version of the Weibel instability has been recently proposed [20,21] on grounds of the dispersion relation for the Wigner-Maxwell system, which is the quantum counterpart of the Vlasov-Maxwell system. Therefore, the details of the instability are dependent on the precise form of the equilibrium Wigner pseudo distribution function, in a similar way as the traditional Weibel instability is partially dependent on the exact form of the classical equilibrium distribution function.…”

confidence: 99%