scholarly journals Correlation function of the coupling parameter in dusty plasmas

2018 ◽  
Author(s):  
G. S. Dragan ◽  
V. V. Kutarov
Keyword(s):  
Correlation Function ◽  
Coupling Parameter ◽  
Dusty Plasmas

Dust shielding and correlation function for dusty plasmas

1999 ◽  
Vol 6 (8) ◽  
pp. 2997-3001 ◽  
Author(s):  
B. S. Xie ◽  
K. F. He ◽  
Z. Q. Huang ◽  
M. Y. Yu
Keyword(s):  
Correlation Function ◽  
Dusty Plasmas

Non-Markovian dynamics of dust charge fluctuations in dusty plasmas

2014 ◽  
Vol 80 (3) ◽  
pp. 465-476 ◽  
Author(s):  
H. Asgari ◽  
S. V. Muniandy ◽  
Amir Ghalee
Keyword(s):  
Correlation Function ◽  
Langevin Equation ◽  
Dusty Plasmas ◽  
Langevin Equations ◽  
Transient Time ◽  
Charge Fluctuations ◽  
Dust Charge ◽  
Fluctuation Dissipation ◽  
Dust Charge Fluctuations ◽  
Markovian Systems

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.

Dusty plasmas

2004 ◽  
Vol 174 (5) ◽  
pp. 495 ◽  
Author(s):  
Vladimir E. Fortov ◽  
Aleksei G. Khrapak ◽  
Sergei A. Khrapak ◽  
Vladimir I. Molotkov ◽  
Oleg F. Petrov
Keyword(s):  
Dusty Plasmas

Rate Constants, Reactive Flux

2018 ◽  
Author(s):  
Niels Engholm Henriksen ◽  
Flemming Yssing Hansen
Keyword(s):  
Correlation Function ◽  
Rate Constant ◽  
Cross Sections ◽  
Time Correlation ◽  
Time Correlation Function ◽  
Exact Expression ◽  
Reaction Cross ◽  
Dividing Surface ◽  
Definition Of ◽  
Reactive Flux

This chapter discusses a direct approach to the calculation of the rate constant k(T) that bypasses the detailed state-to-state reaction cross-sections. The method is based on the calculation of the reactive flux across a dividing surface on the potential energy surface. Versions based on classical as well as quantum mechanics are described. The classical version and its relation to Wigner’s variational theorem and recrossings of the dividing surface is discussed. Neglecting recrossings, an approximate result based on the calculation of the classical one-way flux from reactants to products is considered. Recrossings can subsequently be included via a transmission coefficient. An alternative exact expression is formulated based on a canonical average of the flux time-correlation function. It concludes with the quantum mechanical definition of the flux operator and the derivation of a relation between the rate constant and a flux correlation function.

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