Physical processes in complex plasma [Elektronische Ressource] / vorgelegt von Slobodan Mitić
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Physical processes in complex plasma [Elektronische Ressource] / vorgelegt von Slobodan Mitić

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Physical Processes in Complex PlasmaSlobodan Miti´cMunchen¨ 2010Physical Processes in Complex PlasmaSlobodan Miti´cDissertationder Fakult¨at fur¨ Physikder Ludwig–Maximilians–Universit¨atMunc¨ henvorgelegt vonSlobodan Miti´caus Niˇs / SerbienMunc¨ hen, den 30. March 2010Erstgutachter: Prof. Dr. Gregor E. MorfillZweitgutachter: Prof. Dr. Dietrich HabsTag der mundlic¨ hen Prufung:¨ 15. Jun 2010.ContentsAbstract xiiiAbstract in German xv1 Introduction 11.1 General review of complex plasma . . . . . . . . . . . . . . . . . . . . . . . 11.1.1 Complex plasma in nature . . . . . . . . . . . . . . . . . . . . . . . 21.1.2 plasma in industry . . . . . . . . . . . . . . . . . . . . . . 31.1.3 Complex plasma in laboratories . . . . . . . . . . . . . . . . . . . . 42 Basics of Complex Plasma 92.1 Microparticle charging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92.2 Interaction of particles in complex plasmas . . . . . . . . . . . . . . . . . . 132.3 Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162.4 Structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202.4.1 Coupling parameter! . . . . . . . . . . . . . . . . . . . . . . . . . 212.4.2 Pair correlation function - g(r) . . . . . . . . . . . . . . . . . . . . . 222.4.3 Local Order Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 232.5 Optical emission spectroscopy . . . . . . . . . . . . . . . . . . . . . . . . .

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Physical Processes in Complex Plasma
Slobodan Miti´c
Munchen¨ 2010Physical Processes in Complex Plasma
Slobodan Miti´c
Dissertation
der Fakult¨at fur¨ Physik
der Ludwig–Maximilians–Universit¨at
Munc¨ hen
vorgelegt von
Slobodan Miti´c
aus Niˇs / Serbien
Munc¨ hen, den 30. March 2010Erstgutachter: Prof. Dr. Gregor E. Morfill
Zweitgutachter: Prof. Dr. Dietrich Habs
Tag der mundlic¨ hen Prufung:¨ 15. Jun 2010.Contents
Abstract xiii
Abstract in German xv
1 Introduction 1
1.1 General review of complex plasma . . . . . . . . . . . . . . . . . . . . . . . 1
1.1.1 Complex plasma in nature . . . . . . . . . . . . . . . . . . . . . . . 2
1.1.2 plasma in industry . . . . . . . . . . . . . . . . . . . . . . 3
1.1.3 Complex plasma in laboratories . . . . . . . . . . . . . . . . . . . . 4
2 Basics of Complex Plasma 9
2.1 Microparticle charging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.2 Interaction of particles in complex plasmas . . . . . . . . . . . . . . . . . . 13
2.3 Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2.4 Structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2.4.1 Coupling parameter! . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.4.2 Pair correlation function - g(r) . . . . . . . . . . . . . . . . . . . . . 22
2.4.3 Local Order Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.5 Optical emission spectroscopy . . . . . . . . . . . . . . . . . . . . . . . . . 25
2.5.1 Elementary introduction . . . . . . . . . . . . . . . . . . . . . . . . 26
2.5.2 Spectroscopy and Complex Plasmas . . . . . . . . . . . . . . . . . . 27
3 Experimental Setup 31
3.1 Evolution of the setup: History of Complex Plasmas, Di"erent setups, Mi-
crogravity experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
3.2 Plasma Crystal 3 Plus, PK-3 Plus . . . . . . . . . . . . . . . . . . . . . . . 32vi CONTENTS
3.3 Plasma Crystal 4, PK-4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
4 Cumulative thesis 39
4.1 Structural Properties of Complex Plasmas in a Homogeneous Discharge . . 40
4.1.1 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
4.1.2 Experiment and methods . . . . . . . . . . . . . . . . . . . . . . . . 40
4.1.3 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
4.1.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
4.2 Convective Dust Clouds Driven by Thermal Creep in a Complex Plasma . 44
4.2.1 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
4.2.2 Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
4.2.3 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
4.2.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
4.3 Spectroscopic Evaluation of the E"ect of the Microparticles on a Radiofre-
quency Argon Plasma. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
4.3.1 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
4.3.2 Experimental method . . . . . . . . . . . . . . . . . . . . . . . . . . 51
4.3.3 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
4.3.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
4.4 Determination of Electron Temperature in Low-pressure Plasmas by Means
of Optical Emission Spectroscopy . . . . . . . . . . . . . . . . . . . . . . . 55
4.4.1 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
4.4.2 Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
4.4.3 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.4.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
5 Outlook and future work 61
Bibliography 65
Acknowledgements 75
Curriculum Vitae 77CONTENTS vii
Publication list 79
5.1 Publication in refereed journals: . . . . . . . . . . . . . . . . . . . . . . . . 79
5.2 in conference proceedings: . . . . . . . . . . . . . . . . . . . . 79
Enclosed papers 81viii CONTENTSList of Figures
2.1 Schematic of interaction of a particle j with a dust grains of the same charge. 11
2.2 Phase diagram of Debye-Huc¨ kel systems, obtained from numerical modelling. 22
2.3 RelativenumberofmicroparticlesN /N thathavesixneighbors(6-foldcells)6
vs. the coupling parameter ! for di"erent types of confinements presented
in insets (a) for potential-well and (b) for parabolict. . . . . . . 22
2.4 Pair correlation factor, g(r), for di"erent coupling parameters. . . . . . . . 23
2.5 Di"erent types of lattice structures commonly found in complex plasma
systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
2.6 Localorderanalysisforcharacteristicphasesintheprocessofcrystallization.
From liquid like (far left), glassy (middle) to crystal phase of particle cloud
(right). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
3.1 Sketch (left) and cross section (right) of the PK-3 Plus experimental setup. 32
3.2 Sketch of PK-4 experimental setup. . . . . . . . . . . . . . . . . . . . . . . 34
4.1 Left: Experimentally recorded particle positions. Particle are color-coded
by corresponding third coordinate presented in millimeters. Right: MD
simulation of the Yukawa system of the dust particles. Snapshot of the
particle positions in the steady-state stage for a coupling!! 10. . . . . . . 41x LIST OF FIGURES
4.2 Distribution of dust particles at di"erent values of! in the plane of local or-
derparametersq"q (calculatedbyusing12nearestneighbors)asseenfrom4 6
MD simulations of Yukawa systems of particles together with experimental
data. Scattered data are color-coded by third order rotational invariant w4
value. Data for ideal hcp (#) and fcc ($) are also plotted. Distribution
(b) shows a liquid-like system with !% 1, while case (a) corresponds to a
4crystallized Yukawa system with!! 10 . Experimental data are scattered
within the area marked with (c) and in detail presented in the insert. . . . 42
4.3 Experimentallyrecordedparticlepositionsfor30Papressureandlowpower
plasma. Shell-like structure is clearly visible. . . . . . . . . . . . . . . . . . 43
4.4 Example of other experimentally resolved particle positions (left). Top and
side view of crossection of cloud approximately at the middle of its hight
(right). Particles are clearly ordered in shells and have well defined order. 44
4.5 Particle structure at higher power and high pressure. The complexity of
these structure is due to the presence of di"erent types of particles in the
plasma (left). One layer of particles at about 5 mm hight and magnification
of one part of it (right). A clear hexagonal structural arrangement is obvious. 45
4.6 Dust clouds ofa=1.64µm particles at pressures of 30, 50, and 100Pa(from
left to right). The vertical dash-dotted lines indicate the position of the
center of the tube. The field of view is 21 x 26 mm. . . . . . . . . . . . . 47
4.7 Convective dust clouds of a=3.05µm particles at a pressure of 50Pafor
cases (a) “plasma on” and (b) “plasma o"”. The shape of the cloud and
direction of the rotation in the ”on” and ”o"” cases are indicated by the
upper and lower loops, respectively, and their overlap shows the region used
for the reconstruction of radial electric force (see Fig. 4.9). The vertical
dashed lines show the center of the tube. . . . . . . . . . . . . . . . . . . . 48
4.8 Averaged gas flow velocity field (vectors) superimposed with particles tra-
jectories. The vertical dashed line indicates the center of the tube. . . . . 49
4.9 Reconstructed radial force for the overlapping region. The vertical dashed
line indicates the center of the tube. . . . . . . . . . . . . . . . . . . . . . . 49
4.10 Sketch of the experimental setup for measuring the selfabsorption using
single-mirror method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

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