1974
DOI: 10.1146/annurev.aa.12.090174.000443
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Cosmic-Ray Propagation in the Galaxy: Collective Effects

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Cited by 332 publications
(229 citation statements)
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“…Collimation is further limited by the beam instability to growing Alfvén waves. If the instability occurs, the protons become nearly isotropic and propagate parallel to the magnetic field with a mean velocity of the Alfvén speed (Wentzel 1974).…”
Section: Discussionmentioning
confidence: 99%
“…Collimation is further limited by the beam instability to growing Alfvén waves. If the instability occurs, the protons become nearly isotropic and propagate parallel to the magnetic field with a mean velocity of the Alfvén speed (Wentzel 1974).…”
Section: Discussionmentioning
confidence: 99%
“…The chief objection to this interpretation is that the strong anisotropy of the supercoherent mode might be rapidly attenuated by the collective effects reviewed by Wentzel (1974). However, the conventional view, that· these wave effects limit streaming velocities to the Alfven velocity,applies to steady state conditions.…”
Section: • the Supercoherent Modementioning
confidence: 99%
“…Extragalactic magnetic field strengths and coherence lengths are not well established, but it may be plausible to assume a Kolmogorov form for the turbulent magnetic field power spectrum with coherent directions on scales of 0.5 -1 Mpc. One can then naïvely estimate that protons with energies E < 10 21 ℓ Mpc B µG eV remain trapped inside magnetic subdomains of size ℓ, attaining efficient diffusion when the wave number of the associated Alfvén wave is equal to the gyroradius of the particle [28]. With a Kolmogorov spectrum this gives for a diffusion coefficient [29] D…”
mentioning
confidence: 99%