Abstract
The effect of random forces, which are caused by fluctuations in a complex plasma, on the dynamics of charged dust grains is studied. Analytical dependences are obtained for the kinetic energy, the autocorrelation functions of velocities, the mass transfer functions, and the mean-square average displacements of the grains in the case of a grain moving under the effect of two random forces. A method is proposed for accounting for more than two random forces of different nature. The possibility is discussed of simulating the motion of dust grains in complex plasma by the Langevin equations with a temperature that is not equal to the temperature of the surrounding gas.
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REFERENCES
O. S. Vaulina, O. F. Petrov, V. E. Fortov, A. G. Khrapak, and S. A. Khrapak, Dusty Plasma: Experiment and Theory (Fizmatlit, Moscow, 2009) [in Russian].
Complex and Dusty Plasmas, Ed. by V. E. Fortov and G. E. Morfill (CRC, Boca Raton, FL, 2010).
A. Ivlev, H. Löwen, G. Morfill, and C. P. Royall, Complex Plasmas and Colloidal Dispersions: Particle-Resolved Studies of Classical Liquids and Solids (World Scientific, Singapore, 2012).
O. S. Vaulina, S. V. Vladimirov, O. F. Petrov, and V. E. Fortov, Phys. Plasmas 11, 3234 (2004).
O. S. Vaulina and I. E. Drangevski, Phys. Scr. 73, 577 (2006).
O. S. Vaulina, X. G. Adamovich, O. F. Petrov, and V. E. Fortov, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 77, 066403 (2008).
V. E. Fortov, E. A. Nefedov, V. A. Sinel’shchikov, A. D. Usachev, and A. V. Zobnin, Phys. Lett. A 267, 179 (2000).
G. A. Hebner, M. E. Riley, and K. E. Greenberg, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 66, 046407 (2002).
H. Thomas, G. Morfill, V. Demmel, J. Goree, B. Feuerbacher, and D. Möhlmann, Phys. Rev. Lett. 73, 652 (1994).
J. B. Pieper, J. Goree, and R. A. Quinn, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 54, 5636 (1996).
A. Melzer, A. Homann, and A. Piel, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 53, 2757 (1996).
O. S. Vaulina, J. Exp. Theor. Phys. 122, 193 (2016).
O. S. Vaulina, Plasma Phys. Rep. 43, 354 (2017).
S. A. Khrapak, A. P. Nefedov, O. F. Petrov, and O. S. Vaulina, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 59, 6017 (1999).
O. S. Vaulina, S. A. Khrapak, O. F. Petrov, and A. P. Nefedov, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 60, 5959 (1999).
R. A. Quinn and J. Goree, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 61, 3033 (2000).
O. S. Vaulina, S. A. Khrapak, A. Samarian, and O. F. Petrov, Phys. Scr. 2000, 229 (2000).
E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Nauka, Moscow, 1979; Pergamon, Oxford, 1981).
A. A. Ovchinnikov, S. F. Timashev, and A. A. Belyi, Kinetics of Diffusion-Controlled Chemical Processes (Khimiya, Moscow, 1986; Nova Science, Commack, NY, 1989).
G. E. Uhlenbeck and L. S. Ornstein, Phys. Rev. 36, 823 (1930).
G. H. P. Nguyen, R. Wittmann, and H. Löwen, J. Phys.: Condens. Matter 34, 035101 (2022).
E. A. Lisin, O. S. Vaulina, I. I. Lisina, and O. F. Petrov, Phys. Chem. Chem. Phys. 23, 16248 (2021).
S. Das, G. Gompper and R. J. Winkler, New J. Phys. 20, 015001 (2018).
Funding
This work was supported by the Russian Science Foundation, project no. 22-22-00899, https://rscf.ru/project/22-22-00899/.
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Translated by E. Voronova
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Vaulina, O.S. Effect of Fluctuations in Complex Plasmas on the Dynamics of Charged Dust Grains. Plasma Phys. Rep. 49, 1118–1123 (2023). https://doi.org/10.1134/S1063780X23600949
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DOI: https://doi.org/10.1134/S1063780X23600949