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Non-Markovian dynamics of dust charge fluctuations in dusty plasmas

Published online by Cambridge University Press:  19 February 2014

H. Asgari ,
S. V. Muniandy  and
Amir Ghalee
H. Asgari*
Affiliation:
Plasma Technology Research Centre, Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia
S. V. Muniandy
Affiliation:
Plasma Technology Research Centre, Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia
Amir Ghalee
Affiliation:
Department of Physics, Tafresh University, Tafresh, Iran
*
†Email address for correspondence: [email protected]
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Abstract

Dust charge fluctuates even in steady-state uniform plasma due to the discrete nature of the charge carriers and can be described using standard Langevin equation. In this work, two possible approaches in order to introduce the memory effect in dust charging dynamics are proposed. The first part of the paper provides the generalization form of the fluctuation-dissipation relation for non-Markovian systems based on generalized Langevin equations to determine the amplitudes of the dust charge fluctuations for two different kinds of colored noises under the assumption that the fluctuation-dissipation relation is valid. In the second part of the paper, aiming for dusty plasma system out of equilibrium, the fractionalized Langevin equation is used to derive the temporal two-point correlation function of grain charge fluctuations which is shown to be non-stationary due to the dependence on both times and not the time difference. The correlation function is used to derive the amplitude of fluctuations for early transient time.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 3 , June 2014 , pp. 465 - 476
Copyright
Copyright © Cambridge University Press 2014 

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References

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