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Quantum Treatment of Kinetic Alfv\'en Waves instability in a dusty plasma: Magnetized ions
Plasma Physics · Submitted 1 Aug 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The quantum correction CQ raised due to the insertion of Bohm potential in Vlasov model causes the suppression in the Alfven wave frequency and the growth rates of instability.
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The abstract, sentence by sentence
The dispersion relation of kinetic Alfv\'en wave in inertial regime is studied in a three component non-degenerate streaming plasma. A lin- ear dispersion relation using fluid- Vlasov equation for quantum plasma is also derived. The quantum correction CQ raised due to the insertion of Bohm potential in Vlasov model causes the suppression in the Alfven wave frequency and the growth rates of instability. A number of analytical expressions are derived for various modes of propagation. It is also found that many system parameters, i.e, streaming velocity, dust charge, num- ber density and quantum correction significantly influence the dispersion relation and the growth rate of instability.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The dispersion relation of kinetic Alfv\'en wave in inertial regime is studied in a three component non-degenerate streaming plasma. | contribution 0.94 | 0.82 | 0.05 | asserted 0.98 |
| s1 | A lin- ear dispersion relation using fluid- Vlasov equation for quantum plasma is also derived. | method 0.77 | 0.89 | 0.06 | asserted 1.00 |
| s2 | The quantum correction CQ raised due to the insertion of Bohm potential in Vlasov model causes the suppression in the Alfven wave frequency and the growth rates of instability. | result 0.98 | 0.86 | 0.65 | asserted 1.00 |
| s3 | A number of analytical expressions are derived for various modes of propagation. | contribution 0.82 | 0.93 | 0.05 | asserted 0.98 |
| s4 | It is also found that many system parameters, i.e, streaming velocity, dust charge, num- ber density and quantum correction significantly influence the dispersion relation and the growth rate of instability. | result 0.99 | 0.93 | 0.39 | asserted 1.00 |
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Original abstract
The dispersion relation of kinetic Alfv\'en wave in inertial regime is studied in a three component non-degenerate streaming plasma. A lin- ear dispersion relation using fluid- Vlasov equation for quantum plasma is also derived. The quantum correction CQ raised due to the insertion of Bohm potential in Vlasov model causes the suppression in the Alfven wave frequency and the growth rates of instability. A number of analytical expressions are derived for various modes of propagation. It is also found that many system parameters, i.e, streaming velocity, dust charge, num- ber density and quantum correction significantly influence the dispersion relation and the growth rate of instability.
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