Debye shielding in a dusty plasma

Lakshmi, S. Vidhya; Bharuthram, R.; Shukła, P. K.

doi:10.1007/bf00627441

Cited by 14 publications

(9 citation statements)

References 9 publications

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“…1 as long as κ e,i ! ∞, implying that the effective shielding length exactly coincides with the earlier result [35] for static cold dust grains. It may be noticed from Eq.…”

Section: Slow Moving Test Charge Responsesupporting

confidence: 86%

“…Thus, we notice from Table 1 that for infinite values of the spectral indices, that is, κ e,i ! ∞, the superthermality parameters c κe,i ðÞ tend to unity, implying that the effective shielding length exactly coincides with the previous results [35] for static cold dust grains. However, the variation due to superthermal electrons and ions is shown in three different combinations (see Table 1) to affect the normalized values of the effective Debye length and DH potential almost 4 digits beyond the decimal point.…”

Section: Slow Moving Test Charge Responsesupporting

confidence: 86%

“…In Figure 3, the magnitude of the effective shielding length varies against the specific ranges of the electron concentration μ e ðÞ and dust concentration η ðÞfor changing the (a) electron-to-ion temperature ratios T e T i ¼ 1, 2, 4, 8 ðÞ at near-Maxwellian electrons and ions κ e,i ¼ 100 and (b) electron-to-dust temperature ratios T e T d ¼ 10, 15, 20, 25 ðÞ with fixed T e T i ¼ 2 for Kappa-distributed electrons and ions (i.e., κ e,i ¼ 1:6), respectively. Note that for an electron-ion plasma, the effective shielding length is approached to unity [35] as the maximum value for isothermal case T e T i ¼ 1 (black dotted curve) (see Figure 3(a)), which then decreases with respect to the electron concentration. For non-isothermal values, that is, T e T i ¼ 2 (blue dashed curve), 4 (red solid curve), and 8 (black solid curve), the strength of the effective shielding however reduces in terms of fraction showing no more dominant impact of the electron concentration.…”

Section: Short-range Dh and Long-range Ff Potentialsmentioning

confidence: 97%

“…The electrostatic potential [32] due to small and large test charge velocities has been investigated to display the excitation of long-range wakefields in Maxwellian plasmas. Shivamoggi and Mulser [33] examined the effects of magnetic field, collisions, and plasma inhomogeneity on the potential due to slowly and rapidly moving test charges [17,34], and Lakshmi et al [35] discussed the Debye shielding phenomenon in a dusty plasma by considering the Boltzmannian electrons and ions with cold negative dust grains. It was revealed that plasma parameters significantly alter the characteristics of small and large amplitude potentials.…”

Section: Dusty Plasma and Test Charge Techniquementioning

confidence: 99%

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Plasma Diagnostic Methods: Test Charge Response in Lorentzian Dusty Plasmas

Ali¹,

Al-Hadeethi²

2020

Selected Topics in Plasma Physics

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Different plasma diagnostic methods are briefly discussed, and the framework of a test charge technique is effectively used as diagnostic tool for investigating interaction potentials in Lorentzian plasma, whose constituents are the superthermal electrons and ions with negatively charged dust grains. Applying the space-time Fourier transformations to the linearized coupled Vlasov-Poisson equations, a test charge potential is derived with a modified response function due to energetic ions and electrons. For a test charge moving much slower than the dust-thermal speed, there appears a short-range Debye-Hückel (DH) potential decaying exponentially with distance and a long-range far-field (FF) potential as the inverse cube of the distance from test charge. The FF potentials exhibit more localized shielding curves for low-Kappas, and smaller effective shielding length is observed in dusty plasma compared to electron-ion plasma. However, a wakefield (WF) potential is formed behind the test charge when it resonates with dust-acoustic oscillations, whereas a fast moving test charge leads to the Coulomb potential having no shielding around. It is revealed that superthermality and plasma parameters significantly alter the DH, FF, and WF potentials in space plasmas of Saturn’s E-ring, where power-law distributions can be used for energetic electrons and ions in contrast to Maxwellian dust grains.

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“…1 as long as κ e,i ! ∞, implying that the effective shielding length exactly coincides with the earlier result [35] for static cold dust grains. It may be noticed from Eq.…”

Section: Slow Moving Test Charge Responsesupporting

confidence: 86%

Section: Slow Moving Test Charge Responsesupporting

confidence: 86%

Section: Short-range Dh and Long-range Ff Potentialsmentioning

confidence: 97%

Section: Dusty Plasma and Test Charge Techniquementioning

confidence: 99%

See 2 more Smart Citations

Plasma Diagnostic Methods: Test Charge Response in Lorentzian Dusty Plasmas

Ali¹,

Al-Hadeethi²

2020

Selected Topics in Plasma Physics

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“…The phenomenon of Debye shielding and underlying physics attracted considerable interest because of the insight it may lend into the fundamental plasma characteristics. [3][4][5][6][7][8] Recently, 9 we outlined a new hybrid distribution, and proposed a generalization of the pioneering work of Cairns et al 10 within the theoretical framework of the Tsallis nonextensive statistics. 11 The latter has made remarkable progress and found wide applicability in different disciplines (information theory, solid state physics, plasma physics, nonequilibrium systems, etc).…”

Section: Introductionmentioning

confidence: 97%

Screening and sheath formation in a nonequilibrium mixed Cairns-Tsallis electron distribution

2015

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The effects of electron nonextensivity for a given nonthermality state, on Debye shielding and electrostatic sheath formation are examined. A physically meaningful Cairns-Tsallis distribution is outlined and a generalized expression for the Debye screening length k q;a D is obtained. It is shown that an increase of the entropic index q causes k q;a D to decrease whatever the amount of plasma nonthermality a. In addition, smaller pertinent values of q along with relatively higher values of a provide larger values of k q;a D . The shielded electrostatic potential falls off as a function of distance more slowly as a increases, a result somewhat analogous to the dynamical shielding decrease (albeit in a different context) of a free charge as it begins to move. Moreover, smaller pertinent values of q along with relatively higher values of a are found to involve higher ion drift speed v i0 for proper sheath formation. As a increases, the sheath electrostatic potential-gradient dW s =dn becomes abruptly steep slowing down the energetic electrons leakage to the wall. Moreover, the sheath thickness broadens as the electron nonthermality strengthens. V C 2015 AIP Publishing LLC.

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Atomic Processes in Dusty Plasmas

Jung

2012

Atomic Processes in Basic and Applied Physics

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Debye shielding in a dusty plasma

Cited by 14 publications

References 9 publications

Plasma Diagnostic Methods: Test Charge Response in Lorentzian Dusty Plasmas

Plasma Diagnostic Methods: Test Charge Response in Lorentzian Dusty Plasmas

Screening and sheath formation in a nonequilibrium mixed Cairns-Tsallis electron distribution

Atomic Processes in Dusty Plasmas

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