Relativistic Transport Equations in Toroidal Plasmas

  • Illya Marushchenko V.N. Karazin Kharkiv National University, Kharkiv, Ukraine
  • Nikolay Azarenkov V.N. Karazin Kharkiv National University, Kharkiv, Ukraine
Keywords: relativistic plasma, kinetics, transport equations

Abstract

Relativistic formulation for the equations describing a neoclassical collisional transport in hot plasmas confined in toroidal systems, which conserves a formal structure of the standard (non-relativistic) theory and allows to include the relativistic consideration in the standart transport codes with minimal changes, is proposed. All formulations are based on the relativistic drift equations of motion and relativistic drift-kinetic equation. Due to a transparent physical interpretation and formal similarity to the generally accepted theory of collisional transport, the proposed formulation allows one to produce a quantitative verification of the validity range of nonrelativistic results predicted by the neoclassical transport models in hot plasmas.

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References

Zeldovich Y.B. and Novikov I. Relativistic Astrophysics. – Chicago: University of Chicago Press, 1983.

de Groot S. R., van Leewen W. A., van Weert Ch. G. Relativistic Kinetic Theory. – Amsterdam: North-Holland Publishing Company, 1980.

TenBarge J.M., Hazeltine R.D., Mahajan S.M. Fluid model for relativistic, magnetized plasmas // Phys. Plasmas. – 2008. – Vol.15. – P.062112.

Pino J., Li H., Mahajan S. Relaxed states in relativistic multifluid plasmas // Phys. Plasmas. – 2010. – Vol.17. – P.112112.

Kotelnikov I., Rome M. Relativistic thermal equilibrium of non-neutral plasmas // Phys. Lett. A. – 2010. – Vol.374. – P.4864.

Honda M., Mima K. Relativistic Effects on Transport Coefficients in Collision Dominant Magnetoactive Plasmas // J. Phys. Soc. Jpn. – 1998. – Vol.67. – P.3420-3428.

Robiche J., Rax J.M. Relativistic kinetic theory of pitch angle scattering, slowing down, and energy deposition in a plasma // Phys. Rev. E. – 2004. – Vol.70. – P.046405 [11 pages].

Tomabechi K. et. al. ITER conceptual design // Nucl. Fusion. – 1991. – Vol.31. – P.1135.

Wagner F. et. al. On the heating mix of ITER // Plasma Phys. Control. Fusion. – 2010. – Vol.52. – P.124033.

Giruzzi G. et. al. Advances on modelling of ITER scenarios: physics and computational challenges // Plasma Phys. Control. Fusion. – 2011. – Vol.53. – P.124010.

Ward D.J. The physics of DEMO // Plasma Phys. Control. Fusion. – 2010. – Vol.52. – P.124033.

Horton L.D. Physics Issues for DEMO // Plasma Phys. Control. Fusion. – 2008. – Vol.52. – P.468.

Mantsinen M.J., Salomaa R.R.E. Transients in D-T and D-3He tokamak fusion reactors // Fusion Technol. – 1989. – Vol.33. – P.237.

Son S., Fisch N.J. Aneutronic fusion in a degenerate plasma // Phys. Lett. A. – 2004. – Vol.329. – P.76.

Stott P.E. The feasibility of using D-3He and D-D fusion fuels // Phys. Control. Fusion. – 2005. – Vol.47. – P.1305.

Helander P., Eriksson L.-G., Andersson F. Runaway acceleration during magnetic reconnection in tokamaks // Plasma Phys. Control. Fusion. – 2002. – Vol.44. – P.B247.

Braams B.J., Karney C.F.F. Conductivity of a relativistic plasma // Phys. Fluids B. – Vol.1. – 1989. – P.1355-1368.

Hinton F.L., Hazeltine R.D. Theory of plasma transport in toroidal confinement systems // Rev. Mod. Phys. – 1976. – Vol.48. – P.239.

Helander P., Sigmar D.J. Collisional Transport in Magnetized Plasmas. – Cambridge: Cambridge University Press, 2002.

Беляев С.Т., Будкер Г.И. Релятивистское кинетическое уравнение // Доклады Академии наук СССР – 1956. – Т.107. – С.807-810.

Морозов А.И., Соловьев Л.С. Движение заряженных частиц в электромагнитных полях // Вопросы теории плазмы. – 1963. – Т.2. – С.177-261.

Littlejohn R.G. Linear relativistic gyrokinetic equation // Phys. Fluids. – 1984. – Vol.27. – P.976.

Northrop T.G. The Adiabatic Motion of Charged Particles. – New York: Interscience, 1963.

Brambilla M. Kinetic Theory of Plasma Waves: Homogeneous Plasmas. – Oxford: Oxford University Press, 1998.

Mettens T., Balescu R. Relativistic transport theory for a two-temperature magnetized plasma // Phys. Fluids B. – 1990. – Vol.2. – P.2076.

Брагинский С.И. Явления переноса в плазме // Вопросы теории плазмы. – 1963. – Т.1. – С.183-272.

Marushchenko N.B., Beidler C.D., Maassberg H. Current Drive Calculations with an Advanced Adjoint Approach // Fusion Sci. Technol. – 2009. – Vol.55. – P.180.

Published
2012-11-23
Cited
How to Cite
Marushchenko, I., & Azarenkov, N. (2012). Relativistic Transport Equations in Toroidal Plasmas. East European Journal of Physics, (1025(4), 29-34. Retrieved from https://periodicals.karazin.ua/eejp/article/view/13586