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Quantum Effects on Low Frequency Waves in Dense Plasmas

Thesis Info

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Author

Khan, Shabbir Ahmad

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2009

Thesis Completion Status

Completed

Subject

Physics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/352

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727057946

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Thelowfrequencyelectrostaticandelectromagneticwavesindenseplasmas arestudied usingthequantumhydrodynamicformulation.Severallinearandnonlinearwavesin uniform as well as nonuniform plasmas are investigated taking into account the quantum diffraction and quantum statistical effects. In an inhomogenous plasma, the drift type wave can appear which doesn’t require electron temperature to be non‐zero for its existence and the electron quantum effects contribute to the wave dispersion at very short length scales. Theeffectofstationarydustisalsodiscussed.Itisalsofoundthatthedriftwaveof ultracolddenseplasmacancouplewithAlfvenwaveandthelineardispersionrelationis analogoustotheclassicalplasmacase.Butphysically,boththedispersionrelationsare verydifferent.Thedispersionrelationsareanalyzednumericallyforparticularcasesof ultracold dense plasma. In a homogenous quantum plasmas, the linear waves are studied for electron‐ion as well as stationarydustcase.Itisfoundthatthequantumion‐acousticwavefrequencyinthe presenceofbackgrounddustincreaseswithelectronquantumeffectsanddust concentration.Inamagnetizedelectron‐ionplasma,thewavefrequencyincreaseswith electron number density and magnetic field. The linearly coupled electrostatic and Alfven wavesarealsoinvestigatedandtheroleofelectronfermionicpressureinthewave dynamicsofdensequantumplasmasispointedout.Acomparisonoffermionicpressure with the quantum pressure due to Bohm potential term is presented. The limit of ultracold dense plasma is discussed in the light of this comparison. The wave dispersion properties for static as well as dynamic ions are elaborated. In the nonlinear regime, it is found that the dust concentration in unmagnetized plasma increasestheamplitudeandwidthofdustion‐acousticsolitonwhereastheincreasein quantumdiffractionparameterreducesthewidthofthesoliton,butdoesn’taffectits amplitude. For, magnetized electron‐ion quantumplasma, the quantumdiffraction effects arefoundtoincreasetheamplitudeaswellaswidthofthesolitons.Theincreasein magnetic field shrinks the soliton keeping the amplitude constant. The results presented in this thesis are supported by numerical analysis and illustrations. Therelevanceofthestudywiththedenseastrophysicalandlaboratoryplasmasisalso pointed out. Keywords: Dense quantum plasmas, low frequency waves, quantum effects, solitons, etc.
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