2015
DOI: 10.1063/1.4928942
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Asymmetric diffusion of cosmic rays

Abstract: Cosmic ray propagation is diffusive because of pitch angle scattering by waves. We demonstrate that if the high-amplitude magnetohydrodynamic turbulence withB=hBi $ 1 is present on top of the mean field gradient, the diffusion becomes asymmetric. As an example, we consider the vertical transport of cosmic rays in our Galaxy propagating away from a point-like source. We solve this diffusion problem analytically using a one-dimensional Markov chain analysis. We obtained that the cosmic ray density markedly diffe… Show more

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Cited by 8 publications
(4 citation statements)
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“…In deriving a diffusive transport formalism for charged particles accelerated in a "sea of magnetic islands," Zank et al (2014) and le Roux et al (2015) make the important implicit assumption that the timescale over which the particle distribution is averaged is much longer than the trapping time for particles trapped in individual plasmoids. More energetic particles are less effectively trapped than lower energy particles (Medvedev & Medvedev 2015). We therefore expect that there exists a threshold energy above which charged particles may be regarded as propagating diffusively and below which particle trapping in islands directly affects the distribution function.…”
Section: Particle Acceleration By Reconnection and Magnetic Islandsmentioning
confidence: 99%
See 1 more Smart Citation
“…In deriving a diffusive transport formalism for charged particles accelerated in a "sea of magnetic islands," Zank et al (2014) and le Roux et al (2015) make the important implicit assumption that the timescale over which the particle distribution is averaged is much longer than the trapping time for particles trapped in individual plasmoids. More energetic particles are less effectively trapped than lower energy particles (Medvedev & Medvedev 2015). We therefore expect that there exists a threshold energy above which charged particles may be regarded as propagating diffusively and below which particle trapping in islands directly affects the distribution function.…”
Section: Particle Acceleration By Reconnection and Magnetic Islandsmentioning
confidence: 99%
“…As discussed above, we anticipate that below some threshold energy range, the transport formalism (1) and (2) no longer holds and that particle trapping needs to be included specifically (Medvedev & Medvedev 2015). In Figure 14, we plot the Voyager 2 LECP data from ∼28 keV to ∼3 MeV (Decker et al 2008) using the format of Figure 13.…”
Section: Appendix Energetic Particle Observations At Lower Energiesmentioning
confidence: 99%
“…This trapping effect can also remove the singularity in parallel diffusion coefficient at 90 • (Cesarsky & Kulsrud 1973), which is a fundamental difficulty of the QLT (Jokipii 1966). Trapping of CRs by large-scale magnetic irregularities was earlier studied by, e.g., Fermi (1949); Noerdlinger (1968); Cesarsky & Kulsrud (1973); Klepach & Ptuskin (1995); Zirakashvili (2001); Medvedev & Medvedev (2015), but it has not been investigated in the framework of modern theories of MHD turbulence.…”
Section: Introductionmentioning
confidence: 99%
“…Nonresonant interactions of CRs with MHD turbulence have also been investigated for studying CR diffusion and stochastic acceleration (Noerdlinger 1968;Cesarsky & Kulsrud 1973;Ptuskin 1988;Klepach & Ptuskin 1995;Cho & Lazarian 2006;Brunetti & Lazarian 2007;Medvedev & Medvedev 2015;Brunetti & Lazarian 2016;Xu & Zhang 2017;Lazarian & Xu 2021;Bresci et al 2022). The acceleration of CRs by magnetic compressions on scales larger than their Larmor radii was studied by Cho & Lazarian (2006), where, as the diffusion due to pitch-angle scattering was invoked, significant compression of gas is required for a net energy gain in average (see also Drury 2012).…”
Section: Introductionmentioning
confidence: 99%