Weibel instabilities in dense quantum plasmas

Tsintsadze, Levan N.; Shukła, P. K.

doi:10.1017/s0022377808007265

Cited by 20 publications

(10 citation statements)

References 15 publications

(19 reference statements)

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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.…”

Section: Theorymentioning

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).…”

Section: Introductionmentioning

confidence: 99%

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Investigation of the particle spin properties on the velocity space instability in high‐density plasmas

Khanzadeh

Mahdavi

2017

Contrib. Plasma Phys

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The nonresonant electromagnetic instabilities of the anisotropic velocity space (Weibel-like) have always been one of the interesting subjects for researchers. These electromagnetic instabilities play an important role in generating strong magnetic fields in laboratory plasmas for applications such as inertial confinement fusion and space plasmas. In this paper, we investigate the quantum effects of the particle spin on the electromagnetic instabilities. In the case of the presence of a magnetic dipole force and an electron precession frequency like the Vlasov equation, we derive the full quantum equation. This study shows that, in the presence of the spin-polarized effects, the growth rate of the instabilities is reduced compared to the classical cases and will not arise for low fractions of the temperature anisotropy for different values of the magnetic field. Indeed, it is expected that the probability of electron capture in the background magnetic fields and the effective collision with the particle increase because of the spin effect, so that a high portion of the electron energy is transmitted to the background plasma, and the temperature anisotropy governing the electron distribution is reduced. KEYWORDS electron precession frequency, magnetic dipole force, nonresonant instability, temperature anisotropy INTRODUCTIONQuantum plasma physics has many applications, for example, in the fields of high-intensity laser-plasma interaction, [1,2] metal and semiconductor nanostructures, [3,4] and astrophysical plasmas. [5,6] The electron density in semiconductors is much smaller than that in metals but the de Broglie wavelength of the charge carriers is comparable to the spatial scale of the profile. Therefore, the quantum effects associated with quantum tunneling particle dispersive effects (delocalized wave functions) can become important. As is known, the spin motions of quantum systems and the magnetization related to the intrinsic spin can be important in semiconductors, in metal alloys, and, more generally, in magnetic nanostructures. [7][8][9][10] For example, it is known that magnetic moment motion allows the magnetoresistive read-heads to respond to the bits of hard disks for memory. In the field of laser plasmas, in particular inertial confinement fusion (ICF) plasmas, the spin-polarized fuel idea was proposed initially by More. [11] Investigations have shown that the thermonuclear cross-section can increase by 50% by using spin-polarized D-T fuel. Consequently, the ignition thresholds can be reduced and the fraction of the fuel burned can be increased before target disassembly. Also, the driver energy required can be reduced by the spin-polarized fuel. In addition, the use of spin-polarized fuel can lead to an anisotropic emission of -particles in the fusion reaction product. This anisotropy spatially concentrates the plasma self-heating and leads to the development of fuel ignition. [12][13][14] In ICF, a large portion of the driver energy must be converted to fusion energy of the nuclear fuel for reachin...

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Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation of the particle spin properties on the velocity space instability in high‐density plasmas

Khanzadeh

Mahdavi

2017

Contrib. Plasma Phys

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Single-species Weibel instability of radiationless plasma

Borodachev¹,

Kolomiets²

2010

J. Plasma Phys.

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A Particle-in-Cell (PIC) numerical simulation of the electron Weibel instability is applied in a frame of Darwin (radiationless) approximation of the self-consistent fields of sparse plasma. As a result, we were able to supplement the classical picture of the instability and, in particular, to obtain the dependency of the basic characteristics (the time of development and the maximum field energy) of the thermal anisotropy parameter, to trace the dynamic restructuring of current filaments accompanying the nonlinear stage of the instability and to trace in detail the evolution of the initial anisotropy of the electron component of plasma.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Macroscopic description for the quantum Weibel instability

Haas

Lazar

2008

Phys. Rev. E

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The Weibel instability in the quantum plasma case is treated by means of a fluid-like (moments) approach. Quantum modifications to the macroscopic equations are then identified as effects of first or second kind. Quantum effects of the first kind correspond to a dispersive term, similar to the Bohm potential in the quantum hydrodynamic equations for plasmas. Effects of the second kind are due to the Fermi statistics of the charge carriers and can become the dominant influence for strong degeneracy. The macroscopic dispersion relations are of higher order than those for the classical Weibel instability. This corresponds to the presence of a cutoff wave-number even for the strong temperature anisotropy case.

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Weibel instabilities in dense quantum plasmas

Cited by 20 publications

References 15 publications

Investigation of the particle spin properties on the velocity space instability in high‐density plasmas

Investigation of the particle spin properties on the velocity space instability in high‐density plasmas

Single-species Weibel instability of radiationless plasma

Macroscopic description for the quantum Weibel instability

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