Abstract
In this work, the effects of normalized electric field (E*) on parallel diffusion coefficients (D||) and perpendicular diffusion coefficients (D┴) are investigated through equilibrium molecular dynamics (EMD) simulations in three-dimensional strongly coupled dusty plasmas. The self-diffusion coefficients (DE) for three dimensions also have been calculated for the wide range of plasma Coulomb coupling (Γ) and Debye screening (κ) parameters with the various system sizes. The DE, D|| and D┴ are investigated using the Einstein relation with EMD simulations. The effects of constant and varying normalized E* on D|| and D┴ have been computed for the different system sizes. Simulation outcomes are outstanding in the combined effects of E* and κ and give well-matched DE, D||(E* = 0, 0.01) and D┴(E* = 0, 0.01) values at low-intermediate to large Γ with varying small-intermediate to large N. The D|| and D┴ in the limit of varying E* values are accounted for an appropriate range Γ and κ parameters. At varying E* values, it is revealed that the D|| increases and D┴ decreases with an increase in E*; however, it decreases with an increase in Γ but within statistical limits. The simple analytical temperature scaling law is tested for variation of scaled (Einstein frequency) DE, D||(E* = 0.01) and D┴(E* = 0.01). It has been shown that the present EMD simulations data obtained for the appropriate range of E* strength up to 0.01 ≤ E* ≤ 1.0 to understand the phase transitions, fundamental nature of E* linearity and anisotropy of dusty plasma systems.
Graphical abstract
Diffusion coefficients of dusty plasmas in electric field by using molecular dynamics simulation.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors' comment: The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.].
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Acknowledgements
The authors would like to thank Y. Zhang and M. Khan for help in revising the manuscript and also like to thank Dr. X. D. Zhang at the Network Information Center of Xi’an Jiaotong University for supporting the High-Performance Computing (HPC) platform and HPC Cluster of the National Centre for Physics (NCP) Islamabad for the allocation of computational power to check and run our MD code.
Funding
This work was supported by the National Science Fund for Distinguished Young Scholars of China (No. 51525604) and the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (No. 51721004).
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M. A. Shakoori performed calculations and wrote the main text, and M-G. He and A. Shahzad analyzed, reviewed and supervised.
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Shakoori, M.A., He, M. & Shahzad, A. Diffusion coefficients of dusty plasmas in electric field. Eur. Phys. J. D 76, 227 (2022). https://doi.org/10.1140/epjd/s10053-022-00553-w
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DOI: https://doi.org/10.1140/epjd/s10053-022-00553-w