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Confining instabilities in a complex plasma S. V. Vladimirov, A. A

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1 Confining instabilities in a complex plasma S. V. Vladimirov, A. A
Confining instabilities in a complex plasma S.V. Vladimirov, A.A. Samarian, J. Albreht, B.W. James, S.A. Maiorov, N.F. Cramer Stability of the vertical and horizontal confinement of colloidal dust particles levitating in a plasma appears as an interplay of the external confining forces as well as the interparticle interactions and plasma collective processes.

2 Theory: Levitation and dynamics one particle
One particle: levitation One particle: oscillatory motion Vertical and horizontal oscillations in the external potentials

3 Levitation and dynamics of two particles
Two particles: various arrangements Two particles: various types of motions Horizontal and vertical oscillations (inter-particle interactions: Debye potential and wake potential) Planar-two-rotation

4 Simulation: Wake potential of one particle
MD simulations The ion focus The plasma potential

5 Simulation: Ion focusing by two particles
The normalized ion density for three different separations D between two dust grains. The distances are in Lx = 4.1lDe

6 Simulation: Ion focusing by two particles
Change of the ion focus with the changing distance

7 Simulation: Plasma potential of two particles
The plasma potential of two particles The distances are in Lx = 4.1lDe. The potential well (region B) is formed behind the dust grain and starts to form between the grains when the separation exceeds the electron Debye length.

8 Simulation: Plasma potential of two particles
Change of the potential with the changing distance

9 Simulation: Charges of two particles in the ion flow

10 Theory: Balance of forces in the horizontal and vertical directions
Force balance in the horizontal direction Force balance in the vertical direction (no wake) Force balance in the vertical direction (with wake)

11 Theory: Oscillations of particles aligned horizontally
Horizontal oscillations in phase Horizontal oscillations counter phase

12 Theory: Oscillations of particles aligned horizontally
Vertical oscillations in phase Vertical oscillations counter phase

13 Theory: Oscillations of particles aligned vertically
Vertical oscillations in phase Vertical oscillations counter phase

14 Theory: Oscillations of particles aligned vertically
Horizontal oscillations in phase Horizontal oscillations counter phase

15 Theory: Stability diagram for the levitation

16 Experiment: Levitation of two particles
Voltage applied to the ring electrode 0 V -3 V -6 V -9 V -6 V -3 V 0 V

17 Experiment: Various types of two particles behavior
Low pressure: small oscillations Medium pressure & power: oscillations in phase High pressure & power: orbital motion

18 Experiment: Dependence of parameters g on the experimental conditions

19 Experiment: oscillations of three particles
Small random oscillations String orbits on a conical surface String orbits on a biconical surface Rim orbital motion

20 Experiment: Oscillations of three particles
Pressure: 36mTorr RF discharge of 300mV at 15 MHz Middle particle oscillates with highest amplitude Angular frequency in the order of 1Hz Particles rotate on biconical surface

21 Experiment: Orbital motions of three particles
Pressure: 23.8mTorr RF discharge of 520mV at 15 MHz Rim orbital motion Angular frequency less than 1Hz

22 Experiment: Interparticle distances for three particles
RF discharge voltage: 180 mV RF discharge voltage: 160 mV RF discharge voltage: 140 mV RF discharge voltage: 120 mV RF discharge voltage: 100 mV RF discharge voltage: 80 mV

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