Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution

The effect of dust particle charge fluctuation on the electrical potential in the plasma sheath is determined by solvation of Poisson' equation with the help OLM theory and a Tsallis distribution for current carried by electrons, a cold ion fluid and negatively charged immobile dust grains. It...

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Main Authors: Fatemeh Kashkooei Jahromi, Iman Motie, Ali Bakhshayeshi, Taghi Mirzaye, Babak Haghighi
Format: Article
Language:English
Published: Damghan university 2021-07-01
Series:Iranian Journal of Astronomy and Astrophysics
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Online Access:https://ijaa.du.ac.ir/article_270_c9eb37d14443c521d37e68c898ed8aa2.pdf
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author Fatemeh Kashkooei Jahromi
Iman Motie
Ali Bakhshayeshi
Taghi Mirzaye
Babak Haghighi
author_facet Fatemeh Kashkooei Jahromi
Iman Motie
Ali Bakhshayeshi
Taghi Mirzaye
Babak Haghighi
author_sort Fatemeh Kashkooei Jahromi
collection DOAJ
description The effect of dust particle charge fluctuation on the electrical potential in the plasma sheath is determined by solvation of Poisson' equation with the help OLM theory and a Tsallis distribution for current carried by electrons, a cold ion fluid and negatively charged immobile dust grains. It is indicated that the nature of electrical potential in plasma sheath dependent to the Sagdeev potential and the properties of electrostatic sheath strongly affected by fluctuations of dust grain charge that modified the Bohm criterion condition. For the first time, by solving the Sagdeev potential, a function is obtained which shows that when this function becomes negative, the ions accelerate into the region of the sheath and form an electrostatic sheath. This nonlinear function is heavily dependent on nonextensive degree of electron, the ion density ratio to electron and kind of plasma gases. It is showed that the farther we go from the Maxwell equilibrium distribution function, the ions need a higher initial velocity to be able to separate from the main body of the plasma and move towards the plasma sheath and the wall. Finally, the results are indicated that considering the dust particle charge fluctuations and the electron nonextensivity degree play an important role on electrostatic sheath formation and modify Bohm criterion.
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institution Kabale University
issn 2322-4924
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language English
publishDate 2021-07-01
publisher Damghan university
record_format Article
series Iranian Journal of Astronomy and Astrophysics
spelling doaj-art-798bd633f59a4d22b95f41f9a5b5aef92025-01-12T10:10:12ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2021-07-018213514610.22128/ijaa.2021.541.1118270Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron DistributionFatemeh Kashkooei Jahromi0Iman Motie1Ali Bakhshayeshi2Taghi Mirzaye3Babak Haghighi4Department of Physics, Mashhad Branch, Islamic Azad University, Mashhad, IranDepartment of Physics, Mashhad Branch, Islamic Azad University, Mashhad, IranDepartment of Physics, Mashhad Branch, Islamic Azad University, Mashhad, IranDepartment of Physics, Mashhad Branch, Islamic Azad University, Mashhad, IranDepartment of Physics, Mashhad Branch, Islamic Azad University, Mashhad, IranThe effect of dust particle charge fluctuation on the electrical potential in the plasma sheath is determined by solvation of Poisson' equation with the help OLM theory and a Tsallis distribution for current carried by electrons, a cold ion fluid and negatively charged immobile dust grains. It is indicated that the nature of electrical potential in plasma sheath dependent to the Sagdeev potential and the properties of electrostatic sheath strongly affected by fluctuations of dust grain charge that modified the Bohm criterion condition. For the first time, by solving the Sagdeev potential, a function is obtained which shows that when this function becomes negative, the ions accelerate into the region of the sheath and form an electrostatic sheath. This nonlinear function is heavily dependent on nonextensive degree of electron, the ion density ratio to electron and kind of plasma gases. It is showed that the farther we go from the Maxwell equilibrium distribution function, the ions need a higher initial velocity to be able to separate from the main body of the plasma and move towards the plasma sheath and the wall. Finally, the results are indicated that considering the dust particle charge fluctuations and the electron nonextensivity degree play an important role on electrostatic sheath formation and modify Bohm criterion.https://ijaa.du.ac.ir/article_270_c9eb37d14443c521d37e68c898ed8aa2.pdffluctuation of chargetsallis distributionnonextensivitybohm criterionelectrostatic sheathdusty plasma
spellingShingle Fatemeh Kashkooei Jahromi
Iman Motie
Ali Bakhshayeshi
Taghi Mirzaye
Babak Haghighi
Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution
Iranian Journal of Astronomy and Astrophysics
fluctuation of charge
tsallis distribution
nonextensivity
bohm criterion
electrostatic sheath
dusty plasma
title Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution
title_full Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution
title_fullStr Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution
title_full_unstemmed Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution
title_short Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution
title_sort effect of fluctuation of dust grain charge on electrostatic sheath formation in dusty plasma with tsallis electron distribution
topic fluctuation of charge
tsallis distribution
nonextensivity
bohm criterion
electrostatic sheath
dusty plasma
url https://ijaa.du.ac.ir/article_270_c9eb37d14443c521d37e68c898ed8aa2.pdf
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