Kruskal's perturbation method for stochastic ion resonance in a agnetized medium driven by electrostatic wave packet

Document Type : Research Paper

Author

Fuel Cycle Research School, Nuclear Science and Technology Research Institute, Tehran, Iran

Abstract

Nonlinear differential equations and mathematical methods for solving them have many applications to study the dynamics of the nonlinear systems. One of the nonlinear systems in physics is plasma, where more than 99\% of the universe is in this state, from neutron stars to lightning. In a plasma, wave-particle interaction occurs frequently, which causes random resonance of charged particles and consequently nonlinear behavior of particles in the medium. In this paper, the theoretical model and mathematical-analytical method are presented to investigate the behavior of the magnetized medium perturbed by electrostatic wave packet, heating and turbulence of the medium. The results show that in the strong perturbation due to the wave packet, the transport of ion resembles anomalous behaviour, altering between diffusive and trapped motion. The results of this study provide a model to describe wave-particle interaction in the medium driven by periodic forces under non-uniform time varying magnetic field, such as solar winds during solar activity.

Keywords

Main Subjects

References

[1] T. Harko and G. Mocanu, Electromagnetic radiation of charged particles in stochastic motion, Eur. Phys. J. C, 76 (2016) 1–20.
[2] S. Rüdiger, Stochastic models of intracellular calcium signals, Phys. Rep., 534 (2014) 39–87.
[3] R. J. Dumont and D. Zazoso, Heating and current drive by ion cyclotron waves in the activated phase of ITER, Nucl. Fusion, 53 (2013).
[4] Y. Narita and et al., Wave–particle resonance condition test for ion-kinetic waves in the solar wind, Ann. Geophys., 34 (2016) 393–398.
[5] M. Nishiura and et al., Ion cyclotron resonance heating system in the RT-1 magnetospheric plasma, Nucl. Fusion, 57 (2017).
[6] A. J. Lichtenberg and M. A. Lieberman, Applied Mathematical Sciences, textbf38, Springer-Verlag, New York, 1983.
[7] A. Greco, S. Perri, S. Servidio, E. Yordanova and P. Veltri, The complex structure of magnetic field discontinuities in the turbulent solar wind, The Astrophysical Journal Letters, 823 (2016) 1–5.
[8] G. Arfken, Mathematical methods for physicists, Academic Press, Orlando, 1985.
[9] V. I. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, New York, 1989.
Mathematics and Society
Volume 6, Issue 4 - Serial Number 4
December 2021
Pages 49-57

Files

History

  • Receive Date: 16 April 2022
  • Revise Date: 22 July 2022
  • Accept Date: 26 July 2022
  • Publish Date: 20 February 2022

Share

How to cite

Statistics