THE INFLUENCE OF AN EXTERNAL MAGNETIC FIELD ON THE STABILITY OF A MAGNETIC COLLOID

1976 ◽  
pp. 357-358
Author(s):  
E.D. Tarapore ◽  
T.S. Mika
1980 ◽  
Vol 24 (3) ◽  
pp. 479-482 ◽  
Author(s):  
K. Bhimsen ◽  
Shivamoggi ◽  
Mahinder ◽  
S. Uberoi

Convective instability of a plasma slab (contained between two metal walls) subject to a longitudinal external magnetic field is studied. The results show that (i) increase in the ionization rate Z causes a reduction in the stability of the plasma; (ii) the instability persists in the limit k ⇒ 0.


2017 ◽  
Vol 45 (5) ◽  
pp. 875-881 ◽  
Author(s):  
Bin Ma ◽  
Zhengxiang Huang ◽  
Qiangqiang Xiao ◽  
Xudong Zu ◽  
Xin Jia ◽  
...  

2015 ◽  
Vol 764 ◽  
pp. 316-348 ◽  
Author(s):  
Habibur Rahman ◽  
Sergey A. Suslov

AbstractLinear stability of magnetoconvection of a ferromagnetic fluid contained between two infinite differentially heated non-magnetic plates in the presence of an oblique uniform external magnetic field is studied in zero gravity conditions. The thermomagnetic convection that arises is caused by the spatial variation of magnetisation occurring due to its dependence on the temperature. The critical values of the governing parameters at which the transition between motionless and convective states is observed are determined for various field inclination angles and for fluid magnetic parameters that are consistently chosen from a realistic experimental range. It is shown that, similar to natural paramagnetic fluids, the most prominent convection patterns align with the in-layer component of the applied magnetic field but in contrast to such paramagnetic fluids the instability patterns detected in ferrofluids can be oscillatory. It is also found that, contrary to paramagnetic fluids, the stability characteristics of magnetoconvection in ferrofluids depend on the magnitude of the applied field which becomes an additional parameter of the problem. This is shown to be due to the nonlinearity of the magnetic field distribution within the ferrofluid.


2007 ◽  
Vol 16 (08) ◽  
pp. 1369-1379
Author(s):  
R. KAYA

We study the effect of an external magnetic field on the stability of circular motion of charged particles in the equatorial plane of a five-dimensional rotating black hole. Using the Hamilton–Jacobi formalism, we derive the effective potential for the radial motion of test particles around a five-dimensional magnetized Myers–Perry black hole. We show that there exist stable circular orbits in equatorial planes in the background of this metric.


1969 ◽  
Vol 47 (3) ◽  
pp. 249-256
Author(s):  
R. Jayakaran Isaac

In this paper, the stability of a cold plasma traversed by two electron beams in the presence of an external magnetic field is investigated. Dispersion relations for both longitudinal and transverse modes have been obtained. These dispersion relations have been discussed with respect to the two limiting cases of long- and short-wavelength disturbances. Apart from this, the dispersion relation for transverse modes has been solved numerically for a number of cases. It is found that the system becomes unstable against long-wavelength disturbances while it is stable against short-wavelength disturbances. In particular, for longitudinal modes, those perturbations whose wavelengths are such that their frequencies are near the corresponding frequencies of either of the two beams are found to be unstable. It is also found, numerically, in the case of transverse modes, that under certain conditions there exists a critical value of the wave number α, say α*, such that the system is unstable for the perturbations whose wave numbers satisfy the condition α < α*.


1996 ◽  
Vol 55 (1) ◽  
pp. 77-86 ◽  
Author(s):  
G. Gnavi ◽  
L. Gomberoff ◽  
F. T. Gratton ◽  
R. M. O. Galvão

We study the stability of the cold-plasma dispersion relation for circularly polarized waves in a plasma composed of an ion background and an ion beam. The presence of the beam introduces a resonant branch into the dispersion relation for right-hand-polarized waves propagating in the direction of the external magnetic field, which, for V>Vφ, has negative energy (here V is the beam velocityVφ is the wave phase velocity). Therefore this branch may give rise to explosive instabilities when the waves experience parametric decays. It is shown graphically that resonant right-hand-polarized and non-resonant left-hand-polarized waves, propagating parallel to the external magnetic field, can be unstable. It is also shown that the instability region can extend to large frequencies and wavenumnbers, and that the instability regions have a band structure. The parametric dependence of instability thresholds and marginal modes is also studied.


2019 ◽  
Vol 61 (2) ◽  
pp. 234
Author(s):  
П.И. Безотосный ◽  
С.Ю. Гаврилкин ◽  
К.А. Дмитриева ◽  
А.Н. Лыков ◽  
А.Ю. Цветков

AbstractA method for calculating the critical current of an inhomogeneous superconducting film (plate) in different external magnetic fields has been proposed. The superconducting properties are changed by varying the coherence length and London penetration depth over the thickness. The coherence length is maximum at the center of the plate and decreases upon approaching its boundaries and the London depth, on the contrary, is minimum at the center of the plate and increases toward its boundaries. Using the proposed approach, the magnetic field dependences of the critical current on the external magnetic field for the cases of nonuniform and uniform distributions of the superconducting properties over the film thickness have been calculated and compared. It has been established that at the nonuniform distribution of the superconducting properties the critical current of the plate is higher than at the uniform distribution at the same external magnetic fields. This is due to the fact that the order parameter is redistributed over the inhomogeneous plate thickness in such a way that the superconducting state becomes more stable against the current and magnetic field. It has been shown that the vortex-free Meissner state in inhomogeneous films is maintained at higher fields than in homogeneous films. The greater the film nonuniformity, the higher the stability of the Meissner state against an external magnetic field.


2000 ◽  
Vol 11 (1) ◽  
pp. 95-119 ◽  
Author(s):  
CATHERINE BOLLEY ◽  
BERNARD HELFFER

We consider the bifurcating solutions for the Ginzburg–Landau equations when the superconductor is a film of thickness 2d submitted to an external magnetic field. We refine some results obtained earlier [1] on the stability of bifurcating solutions starting from normal solutions. We prove, in particular, the existence of curves d [map ] κ0(d), defined for large d and tending to 2−1/2 when d [map ] +∞ and κ [map ] d1(κ), defined for small κ and tending to √5/2 when κ [map ] 0, which separate the sets of pairs (κ, d) corresponding to different behaviour of the symmetric bifurcating solutions. In this way, we give in particular a complete answer to the question of stability of symmetric bifurcating solutions in the asymptotics ‘κ fixed-d large’ or ‘d fixed-κ small’.


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