Nonlinear Parallel and Perpendicular Diffusion of Charged Cosmic Rays in Weak Turbulence

Shalchi, A.; Bieber, J. W.; Matthaeus, W. H.; Qin, Gang

doi:10.1086/424839

Cited by 153 publications

(163 citation statements)

References 24 publications

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“…Although this problem has been discussed in several papers (e.g. Jokipii 1966;Bieber & Matthaeus 1997;Kóta & Jokipii 2000;Matthaeus et al 2003;Shalchi et al 2004;Webb et al 2006;Shalchi 2006), a final solution has not been provided so far. The perpendicular transport of charged particles is a central problem in astrophysics, since the knowledge of the diffusion tensor for particle transport parallel and perpendicular to the prescribed external magnetic field is essential for describing solar energetic particles (Dröge 2000), the modulation of Galactic cosmic rays (Burger & Hattingh 1998), diffusive shock acceleration, and the lifetime of cosmic rays in the Galaxy (Jokipii & Parker 1969).…”

Section: Introductionmentioning

confidence: 99%

A new theory for perpendicular transport of cosmic rays

Shalchi¹,

Kourakis²

2007

A&A

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102

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We present an improved nonlinear theory for the perpendicular transport of charged particles. This approach is based on an improved nonlinear treatment of field-line random walk in combination with a generalized compound diffusion model. The generalized compound diffusion model employed is more systematic and reliable, in comparison with previous theories. Furthermore, the theory shows remarkably good agreement with test-particle simulations and solar wind observations.

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Section: Introductionmentioning

confidence: 99%

A new theory for perpendicular transport of cosmic rays

Shalchi¹,

Kourakis²

2007

A&A

Self Cite

102

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“…Jokipii 1966;Urch 1977;Bieber & Matthaeus 1997;Giacalone & Jokipii 1999;Mace et al 2000;Mazur et al 2000;Kota & Jokipii 2000;Qin et al 2002a,b;Matthaeus et al 2003;Shalchi et al 2004b;Shalchi 2005b). The first theoretical approach was the application of quasilinear theory (QLT, Jokipii 1966) where it was assumed that all diffusion coefficients can be calculated independently of each other by using a first order perturbation method.…”

Section: Introductionmentioning

confidence: 99%

“…Another promising theory was obtained by combining the ideas of NLGC-theory with QLT. The resulting theory, the weakly nonlinear theory (WNLT, Shalchi et al 2004b), is one theory for parallel and perpendicular transport and is also able to solve the recently discovered geometry problem of parallel transport (Shalchi et al 2004b;Qin et al 2006).…”

Section: Introductionmentioning

confidence: 99%

Extended nonlinear guiding center theory of perpendicular diffusion

Shalchi¹

2006

A&A

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Recently the nonlinear guiding center theory of cosmic ray perpendicular diffusion was proposed. In this paper it is demonstrated that at least the slab contribution to the perpendicular mean free path is calculated incorrectly within this nonlinear approach. An extended theory which includes an improved treatment of the slab contribution is presented in this paper. Contrary to the original theory, the extended nonlinear guiding center theory shows agreement with numerical simulations for slab and non-slab models.

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“…In the past few years huge progress was made in the theory of perpendicular transport (e.g., Bieber & Matthaeus 1997;Matthaeus et al 2003;Shalchi et al 2004aShalchi et al , 2004bShalchi et al , 2006. Very recently (Shalchi & Kourakis 2007a), a more systematic approach for perpendicular scattering has been developed.…”

Section: Introductionmentioning

confidence: 99%

The Cosmic‐Ray Diffusion Tensor in Nonaxisymmetric Turbulence

Weinhorst

Shalchi

Fichtner

2008

ApJ

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Previous investigations of magnetic field line random walk and charged particle transport in turbulence mostly employed an axisymmetric turbulence model. However, real turbulence is assumed to be nonaxisymmetric. In this article we employ a simple model for nonaxisymmetric turbulence based on a very recent article. By analytically describing the random walk of magnetic field lines and by combining these results with a general compound transport model, we derive the cosmic-ray diffusion tensor. As demonstrated, the nonaxisymmetry leads to different components of the cosmic-ray diffusion tensor in the perpendicular direction. These new results are essential for several applications such as solar modulation studies.

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Nonlinear Parallel and Perpendicular Diffusion of Charged Cosmic Rays in Weak Turbulence

Cited by 153 publications

References 24 publications

A new theory for perpendicular transport of cosmic rays

A new theory for perpendicular transport of cosmic rays

Extended nonlinear guiding center theory of perpendicular diffusion

The Cosmic‐Ray Diffusion Tensor in Nonaxisymmetric Turbulence

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