Stabilization of magnetic curvature-driven Rayleigh–Taylor instabilities

Onishchenko, O. G.; Pokhotelov, O. A.; Stenflo, L.; Shukla, P. K.

doi:10.1017/s0022377811000444

Cited by 5 publications

(8 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(3) and (4) reduce to those that describe the curvature driven flute waves analyzed in Refs. [11,12].…”

Section: Hydrodynamic Equationsmentioning

confidence: 99%

“…The previous theories [4,5,6,7,8] were restricted to the long wavelength limit where the wave spatial scale is much larger than the ion Larmor radius. Recently [9,10,11,12] the theory for the magnetic RT instability in a low-β plasma was extended to the case of arbitrary spatial scales. Particular attention was paid to flute waves with spatial scales of the order of the ion Larmor radius.…”

Section: Introductionmentioning

confidence: 99%

“…Incorporation of the magnetic field line curvature in the theory of RT instability was carried out in Refs. [11,12]. In that case the term magnetic RT instability is transformed into the so-called magnetic curvature-driven (MCD) RT instability.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Finite ion Larmor radius effects in magnetic curvature-driven Rayleigh-Taylor instability

Onishchenko¹,

Pokhotelov²,

Stenflo³

et al. 2012

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

Incomplete finite ion Larmor radius stabilization of the magnetic Rayleigh-Taylor (RT)instability is investigated. In contrast to the previous studies the effects of both the gravity and magnetic field curvature are taken into account. New model hydrodynamic equations describing nonlinear flute waves with arbitrary spatial scales have been derived. Particular attention is paid to the waves with spatial scales of the order of the ion Larmor radius. In the linear approximation a Fourier transform of these equations yields a generalized dispersion relation for flute waves. The condition for gravity and magnetic curvature at which the instability cannot be stabilized by the finite ion Larmor radius effects is found. It is shown that in the absence of the magnetic curvature the complete stabilization arises due to the cancellation of gravitational and diamagnetic drifts. However, when the magnetic curvature drift is taken into account this synchronization is violated and the RT instability is stabilized at more complex conditions. Furthermore, the dependence of the instability growth rate on the equilibrium plasma parameters is investigated.

show abstract

“…(3) and (4) reduce to those that describe the curvature driven flute waves analyzed in Refs. [11,12].…”

Section: Hydrodynamic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite ion Larmor radius effects in magnetic curvature-driven Rayleigh-Taylor instability

Onishchenko¹,

Pokhotelov²,

Stenflo³

et al. 2012

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this work, we investigate with linear analysis of Rayleigh-Taylor (RT) mode which reveals the possibility of RT instability. It is well known that when a heavy fluid is supported by a lighter fluid against the gravity, RT instabilities are formed, [25][26][27] which have a general tendency to penetrate the heavier fluid down and raise the lighter fluid to the top and thereby instability is triggered. As usual in case of the pair-ion plasma, the gravity and inhomogeneity are the physical parameters to mix up two fluids and form RT instability.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh-Taylor instability in an equal mass plasma

2014

View full text Add to dashboard Cite

The Rayleigh-Taylor (RT) instability in an inhomogeneous pair-ion plasma has been analyzed. Considering two fluid model for two species of ions (positive and negative), we obtain the possibility of the existence of RT instability. The growth rate of the RT instability as usual depends on gravity and density gradient scale length. The results are discussed in context of pair-ion plasma experiments. V C 2014 AIP Publishing LLC. [http://dx.

show abstract

“…1 In general, when the heavy fluid is supported by a lighter fluid against the gravity, the heavy fluid penetrates down and, consequently, the lighter fluid also pushes to the top to reach the equilibrium with perturbation. This triggers an instability known as RT instability, 2,3 which is also studied by many workers for space and laboratory plasmas. [4][5][6][7] Moreover, this RT instability saturates nonlinearly.…”

mentioning

confidence: 99%

Rayleigh-Taylor vortices in a pair-ion plasma

Adak

Khan

2015

Physics of Plasmas

View full text Add to dashboard Cite

The Rayleigh-Taylor (RT) vortices and the analytical solution of three-mode coupling in pair-ion plasmas are investigated. It is shown that the E Â B convection of polarization drift is responsible for the saturation of growing RT instability and as a result the localized dipole vortex structures are formed. The shear flow generation due to the destruction of vortex structures is discussed by the Fourier mode analysis. V C 2015 AIP Publishing LLC. [http://dx.The Rayleigh-Taylor (RT) instability plays an important role in a wide range of physical phenomena ranging from the inertial confinement fusion to astrophysical phenomena such as supernova explosion. 1 In general, when the heavy fluid is supported by a lighter fluid against the gravity, the heavy fluid penetrates down and, consequently, the lighter fluid also pushes to the top to reach the equilibrium with perturbation. This triggers an instability known as RT instability, 2,3 which is also studied by many workers for space and laboratory plasmas. [4][5][6][7] Moreover, this RT instability saturates nonlinearly. 8-10 Due to the external velocity shear, RT modes can also be nonlinearly saturated. 11 Also, due to the nonlinear interactions (mode coupling), shear flow generates self-consistently, which reduces the growth rate of interchange-like instability and thereby saturates the RT instability. 12 Apart from these works, our recent work shows that the RT instability is profoundly present in a pair-ion plasma 13 consisting of fullerene positive and negative ions (C þ 60 and C À 60 ) with equal masses. Such type of pair plasmas have been observed in laboratory. 14,15 The formation mechanism of pair plasmas was developed by Oohara and Hatakeyama, 16 which consists of positive and negative ions (C þ 60 and C À 60 ) of fullerene with equal masses and slightly different temperatures. Space-time symmetry of pair-ion plasma arises due to the same mobility of both ions in electromagnetic fields. Due to this symmetry, new collective modes have been analyzed in such a plasma in contrast to the normal electron-ion plasma with wide mass difference. Various works [17][18][19][20] have been done to investigate the linear and nonlinear collective modes in such a plasma.The aim of the present investigation is to study the formation of two dimensional nonlinear vortex structures and electrostatic turbulence in experimentally observed pair-ion plasmas in presence of density inhomogeneity, uniform magnetic field, and constant gravity. It is shown that the saturation of RT instability occurs due to the E Â B convection of the polarization drift that forms localized dipole vortex structures. In this paper, we have derived the localized vortex solution in a moving frame and demonstrated that due to the destruction of vortex, different modes are coupled and generates self-consistent shear flow. It is well-known that these mode coupling and shear flow generation mechanism can be well explained by the Fourier mode representation. 21 Following the procedure of Ref. 21, we solve the Fo...

show abstract

Stabilization of magnetic curvature-driven Rayleigh–Taylor instabilities

Cited by 5 publications

References 13 publications

Finite ion Larmor radius effects in magnetic curvature-driven Rayleigh-Taylor instability

Finite ion Larmor radius effects in magnetic curvature-driven Rayleigh-Taylor instability

Rayleigh-Taylor instability in an equal mass plasma

Rayleigh-Taylor vortices in a pair-ion plasma

Contact Info

Product

Resources

About