Ring momentum distributions as a general feature of Vlasov dynamics in the synchrotron dominated regime
Abstract: We study how radiation reaction leads plasmas initially in kinetic equilibrium to develop features in momentum space, such as anisotropies and population inversion, resulting in a ring-shaped momentum distribution that can drive kinetic instabilities. We employ the Landau-Lifshiftz radiation reaction model for a plasma in a strong magnetic field, and we obtain the necessary condition for the development of population inversion, we show that isotropic Maxwellian and Maxwell-J\"uttner plasmas, with thermal temperature $T>m_e c2/\sqrt{3}$, will develop a ring-like momentum distribution. The timescales and features for forming ring-shaped momentum distributions, the effect of collisions and non-uniform magnetic fields are disscussed, and compared with typical astrophysical and laboratory plasmas parameters. Our results show the pervasiveness of ring-like momentum distribution functions in synchrotron dominated plasma conditions.
- T. Blackburn, Reviews of Modern Plasma Physics 4, 5 (2020).
- L. Comisso and L. Sironi, Physical Review Letters 127, 255102 (2021).
- P. J. Bilbao and L. O. Silva, Physical Review Letters 130, 165101 (2023).
- V. M. Kaspi and A. M. Beloborodov, Annual Review of Astronomy and Astrophysics 55, 261 (2017).
- B. Cerutti and A. M. Beloborodov, Space Science Reviews 207, 111 (2017).
- L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Vol. 2 (Pergamon Press, Oxford, 1975).
- A. Lightman, The Astrophysical Journal 253, 842 (1982).
- G. B. Rybicki and A. P. Lightman, Radiative processes in astrophysics (John Wiley & Sons, 1991).
- V. I. Ritus, J. Sov. Laser Res.; (United States) 6 (1985).
- L. Kuz’menkov, Soviet Physics Doklady, 23, 469 (1978).
- R. Hazeltine and S. Mahajan, Physical Review E 70, 046407 (2004a).
- R. Bingham and R. Cairns, Physics of Plasmas 7, 3089 (2000).
- D. Melrose and M. Wheatland, Solar Physics 291, 3637 (2016).
- D. Melrose, Journal of Astrophysics and Astronomy 16, 137 (1995).
- M. Lyutikov, The Astrophysical Journal 922, 166 (2021).
- P. A. M. Dirac, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 167, 148 (1938).
- F. Hartemann and N. Luhmann Jr, Physical Review Letters 74, 1107 (1995).
- A. Bell and J. G. Kirk, Physical Review Letters 101, 200403 (2008).
- R. Hakim and A. Mangeney, Journal of Mathematical Physics 9, 116 (1968).
- R. Hakim and A. Mangeney, The Physics of Fluids 14, 2751 (1971).
- R. Hazeltine and S. Mahajan, Physical Review E 70, 036404 (2004b).
- D. R. Nicholson and D. R. Nicholson, Introduction to plasma theory, Vol. 1 (Wiley New York, 1983).
- F. Miniati and A. Elyiv, The Astrophysical Journal 770, 54 (2013).
- B. Trubnikov, Rev. Plasma Phys. 1 (1965).
- D. Sivukhin, Rev. Plasma Phys.(USSR)(Engl. Transl.) 4 (1966).
- R. Goldston and P. Rutherford, Introduction to plasma physics (IOP Publishing, UK, 1995).
- J. J. Thomson, Conduction of electricity through gases (University press, 1906).
- A. H. Compton, Physical review 21, 483 (1923).
- O. Klein and Y. Nishina, Zeitschrift für Physik 52, 853 (1929).
- Z. Wadiasingh and A. Timokhin, The Astrophysical Journal 879, 4 (2019).
- N. Neitz and A. Di Piazza, Physical review letters 111, 054802 (2013).
- J. Schwinger, Physical review 75, 1912 (1949).
- G. Befki, Radiation processes in plasmas (1966).
- R. Pawula, Physical review 162, 186 (1967).
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