Abstract
In order to understand the physics of the interaction of relativistic laser and electrons, PIC simulation and its post-process analysis are not enough. Some theoretical models based on approximate equations easy to solve are required for really knowing the core of the physical phenomena and controlling them. In the case of small perturbation, Vlasov-Fokker-Planck equations are derived, where the stochasticity is expressed as the diffusion in energy space. For large perturbation, the fractional Fokker-Planck equation is proposed from the idea of Tsallis statistics. The time evolution and intensity dependence of the electron distribution functions are compared to the PIC and experimental data. The perturbation theory of the Hamilton equation is also developed to explain the numerical results.
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References
J. Meyer-ter-Vehn, Z.M. Sheng, Phys. Plasmas 6, 641 (1999)
S.C. Wilks, W.L. Kruer, IEEE J. Quant. Elec 33, 1953 (1997)
T. Nakamura et al., Phys. Plasmas 9, 1801 (2002)
M. Tanimoto et al., Phys. Rev. E 68, 026401 (2003)
Z.M. Sheng et al., Phys. Rev. Lett. 88, 055004 (2002)
S. Rassou, A. Bourdier, M. Drouin, Phys. Plasma 21, 083101 (2014)
C. Tsallis, J. Stat. Phys. 52, 479 (1988)
J. Klafter, M. F. Sclesinger, and G. Zumofen, Physics Today, Feb. p.33 (1996)
B. Mandelbrot, The Fractal Geometry of Nature, (Freeman, 1982)
A.V. Milovanov, J.J. Rasmussen, Phys. Lett. A 378, 1492 (2014)
S.V. Bulanov et al., Aust. J. Plant Physiol. 83, 905830202 (2017)
E. Barkai, R. Metzler, J. Klafter, Phys. Rev. E 61, 132 (2000)
J. Anderson et al., Phys. Plasmas 21, 122109 (2014)
C. Tsallis et al., Phys. Rev. Lett. 75, 3589 (1995)
A. Bourdier, M. Drouin, Laser Part. Beams 27, 545 (2009)
Y. Kuramitsu et al., Phys. Plasmas 18, 010701 (2011)
S. Kojima et al., Commun. Phys. 2, 99 (2019)
E. Fermi, Phys. Rev. 75, 1169 (1949); Astrophys. J. 119, 1. (1954)
A. R. Bell, Mon. Not. R. Astro. Soc. 182, 147 (1978); K. M. Schure et al., Space Sci. Rev. 173, 491 (2012)
P. Chen et al., Phys. Rev. Lett. 89, 161101 (2002)
M. Hoshino, Astrophys. J. 672, 940 (2008)
M. Iwamoto et al., Astrophys. J. 840, 52 (2017)
L. Sironi, A.Y. Spitkovsy, J. Arons, Astrophys. J. 771, 54 (2013)
S. Moradi et al., Physical Rev. Research 2, 013027 (2020)
S. Bulanov et al., Phys. Plasmas 22, 063108 (2015)
U. Tilnakli, E.P. Borges, Sci. Rep. 6, 23644 (2016)
A.J. Lichtenberg, M.A. Liberman, Regular and Stochastic Motion (Springer, 1983). Chapter 3
T. Mendoca, Phys. Rev. A, 3592 (1983)
J.M. Rax, Phys. Fluids B-4, 3962 (1992)
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Takabe, H. (2020). Theory of Stochasticity and Chaos of Electrons in Relativistic Lasers. In: The Physics of Laser Plasmas and Applications - Volume 1. Springer Series in Plasma Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-49613-5_9
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DOI: https://doi.org/10.1007/978-3-030-49613-5_9
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