1993
DOI: 10.1070/pu1993v036n11abeh002179
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Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)

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Cited by 109 publications
(102 citation statements)
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“…The composite spectrum of cosmic rays from an ensemble of shocks in a supersonically turbulent medium was determined by Schneider (1993). In such a medium, the summed energy distribution for cosmic rays from all of the shocks is close to a power law, but there can be flat parts or bumps, unlike the energy distribution from a single shock (see also Achterberg 1990, Bykov & Toptygin 1993.…”
Section: Other Scattering Mechanismsmentioning
confidence: 99%
“…The composite spectrum of cosmic rays from an ensemble of shocks in a supersonically turbulent medium was determined by Schneider (1993). In such a medium, the summed energy distribution for cosmic rays from all of the shocks is close to a power law, but there can be flat parts or bumps, unlike the energy distribution from a single shock (see also Achterberg 1990, Bykov & Toptygin 1993.…”
Section: Other Scattering Mechanismsmentioning
confidence: 99%
“…The inclusion of perpendicular diffusion with κ = 0.02κ ⊥ does not change the growth rate noticeably. It should be noted however, that the turbulent advection due to magnetic fluctuations of scales larger than the CR mean free path would make the diffusion coefficient nearly isotropic on scales interesting for the Parker instability (see Bykov and Toptygin 1993). A non-linear development of Parker instability was simulated by Kuwabara et al (2004).…”
Section: Instabilities and Plasma Effectsmentioning
confidence: 99%
“…The corresponding energy E 1 that separates different regimes can be estimated from the condition ψ ∼ 1 or l D (E 1 ) ∼ l sh which for the conditions of the Fermi bubble is In the case of ψ 1 or l sh l D analyzed in Bykov & Toptygin [11], Bykov & Fleishman [10], there is a combined effect of a fast particle acceleration by a single shock, which generates the spectrum E −2 and relatively slow transformation of this spectrum due to interaction with other shocks (stochastic Fermi acceleration) into a hard E −1 spectrum in the intershock medium at relatively low energies. However it is unclear if such slow transformation can be completed within the life time of the shocks in the Bubble.…”
Section: Reacceleration Of the Hadronic Component Of Cr By Fermi Bubblesmentioning
confidence: 99%