Theoretical study of the wave dispersion relation for a two-dimensional strongly coupled Yukawa system in a magnetic field

2007 ◽  
Vol 14 (10) ◽  
pp. 103708 ◽  
Author(s):  
Ke Jiang ◽  
Yuan-Hong Song ◽  
You-Nian Wang
2011 ◽  
Vol 78 (2) ◽  
pp. 181-187 ◽  
Author(s):  
NITIN SHUKLA ◽  
A. STOCKEM ◽  
F. FIÚZA ◽  
L. O. SILVA

AbstractWe investigate the Weibel instability in counter-propagating electron–ion plasmas with focus on the ion contribution, considering a realistic mass ratio. A generalized dispersion relation is derived from the relativistic theory by assuming an initially anisotropic temperature, which is represented by a waterbag distribution in momentum space, which shows an enhanced growth rate due to ion response. Two-dimensional particle-in-cell simulations support the theoretical analysis, showing a further amplification of magnetic field on ion time scale. The effect of an initial anisotropic temperature is investigated showing that the growth rate is monotonously decreased if the transverse spread is increased. Nevertheless, the presence of ions generates that the instability can develop for significantly higher electron temperatures. Suppression of oblique mode is also explored by introducing a parallel velocity spread.


1970 ◽  
Vol 37 (1) ◽  
pp. 153-158 ◽  
Author(s):  
F. Moon

The stability and vibration of two-dimensional ferroelastic plates in a uniform, static oblique magnetic field are investigated. It is shown that for either clamped or simply supported boundary conditions, the plate remains either undeformed or unstable. Buckling instability is found to occur only when the field is near normal to the plate. The buckling magnetic field and frequency field dispersion relation is found for a simply supported circular plate. At near-normal field incidence the lowest mode plate frequency decreases with magnetic field. Otherwise an increase in field strength is found to increase the natural frequency. The propagation of transverse waves down an infinite simply supported panel in a magnetic field is also studied.


Science ◽  
2022 ◽  
Vol 375 (6577) ◽  
pp. 205-209
Author(s):  
Xiaomeng Liu ◽  
J. I. A. Li ◽  
Kenji Watanabe ◽  
Takashi Taniguchi ◽  
James Hone ◽  
...  

Following a crossover Superfluidity in fermionic systems occurs through the pairing of fermions into bosons, which can undergo condensation. Depending on the strength of the interactions between fermions, the pairs range from large and overlapping to tightly bound. The crossover between these two limits has been explored in ultracold Fermi gases. Liu et al . observed the crossover in an electronic system consisting of two layers of graphene separated by an insulating barrier and placed in a magnetic field. In this two-dimensional system, the pairs were excitons formed from an electron in one layer and a hole in the other. The researchers used magnetic field and layer separation to tune the interactions and detected the signatures of superfluidity through transport measurements. —JS


1997 ◽  
Vol 350 ◽  
pp. 331-349 ◽  
Author(s):  
M. R. GREEN ◽  
D. G. CRIGHTON

Two parallel circular jets, in inviscid incompressible flow, with uniform axial velocity of the same magnitude and direction are placed near to one another, resulting in a strongly coupled field. A given (small) wavenumber in the axial direction is taken and a dispersion relation is found relating the frequency and wavenumber for a given disturbance mode, along with the velocity potentials within and exterior to the jets. The problem is tackled analytically using bipolar coordinates and asymptotic forms for the dispersion relation are found in the small-separation and large-separation limits. Results are then compared with the corresponding two-dimensional problem for plane jets. It is concluded that close-proximity interactions greatly destabilize the varicose mode of the coupled jet, and greatly stabilize the sinuous mode.


2008 ◽  
Vol 74 (1) ◽  
pp. 107-110 ◽  
Author(s):  
P. K. SHUKLA

AbstractThe linear dispersion relation for compressional magnetoacoustic waves in a quantum magnetoplasma is derived, taking into account the quantum Bohm potential and the magnetization of electrons due to the electron-1/2 spin effect. It is found that the quantum forces produce the wave dispersion at quantum scales, which depend on the external magnetic field strength.


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