Magnetic Field Line Random Walk in Two‐dimensional Turbulence: Markovian Diffusion versus Superdiffusion

Shalchi, A.

doi:10.1002/ctpp.201100106

Cited by 24 publications

(15 citation statements)

References 36 publications

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“…In the present paper, however, we focus on cases where FLRW is diffusive. We can do this by choosing q > 1 in the spectrum (7). In this case, Shalchi and Weinhorst (see…”

Section: Analytical Resultsmentioning

confidence: 99%

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The role of the Kubo number in two-component turbulence

Qin

Shalchi

2013

Physics of Plasmas

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We explore the random walk of magnetic field lines in two-component turbulence by using computer simulations. It is often assumed that the two-component model provides a good approximation for solar wind turbulence. We explore the dependence of the field line diffusion coefficient on the Kubo number which is a fundamental and characteristic quantity in the theory of turbulence. We show that there are two transport regimes. One is the well-known quasilinear regime in which the diffusion coefficient is proportional to the Kubo number squared, and the second one is a nonlinear regime in which the diffusion coefficient is directly proportional to the Kubo number. The so-called percolative transport regime which is often discussed in the literature cannot be found. The numerical results obtained in the present paper confirm analytical theories for random walking field lines developed in the past. V C 2013 AIP Publishing LLC.

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“…In the present paper, however, we focus on cases where FLRW is diffusive. We can do this by choosing q > 1 in the spectrum (7). In this case, Shalchi and Weinhorst (see…”

Section: Analytical Resultsmentioning

confidence: 99%

“…In Ref. 33, the authors used a spectrum which is perfectly flat in the energy range corresponding to the value q ¼ 0 in spectrum (7). For our simulations, we set q ¼ 2 corresponding to an increasing spectrum at large scale.…”

Section: Simulationsmentioning

confidence: 99%

The role of the Kubo number in two-component turbulence

Qin

Shalchi

2013

Physics of Plasmas

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“…(13) is remained for z → ∞. Therefore, for z → ∞ the regime of particle transport tends to the magnetostatic result, i.e., diffusion (see Shalchi 2011).…”

Section: Analytical Formulas Of Field Line Wandering In the Range 2lmentioning

confidence: 92%

“…Note that FLRW in the range σ ≪ 2l 2 2D ≪ 2L 2 2D is no longer the simple quadratic function of the parallel position z (ballistic process) as in the magnetostatic case (see Shalchi 2011). In addition, we find that the energy range index q and the inertial range index s have no any influence on the features of field line wandering.…”

Section: Dmentioning

confidence: 99%

Magnetic field line random walk in two-dimensional dynamical turbulence

Wang

Qin

et al. 2017

Physics of Plasmas

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The field line random walk (FLRW) of magnetic turbulence is one of the important topics in plasma physics and astrophysics. In this article by using the field line tracing method mean square displacements (MSD) of FLRW is calculated in all possible length scales for pure two-dimensional turbulence with damping dynamical model. We demonstrate that in order to describe FLRW with damping dynamical model a new dimensionless quantity $R$ is needed to be introduced. In different length scales dimensionless MSD shows different relationship with the dimensionless quantity $R$. Although temporal effect impacts MSD of FLRW and even changes regimes of FLRW, it dose not affect the relationship between the dimensionless MSD and dimensionless quantity $R$ in all possible length scales

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“…According to Equation (11) of Shalchi (2011a), the latter integral corresponds to the square of the field line diffusion coefficient for pure two-dimensional turbulence (see also Matthaeus et al, 1995Matthaeus et al, , 2007 …”

Section: Dominant Perpendicular Diffusionmentioning

confidence: 99%

Pitch-Angle Dependent Perpendicular Diffusion of Energetic Particles Interacting With Magnetic Turbulence

Qin¹,

Shalchi²

2013

APR

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We employ a test-particle code to explore diffusion of energetic particles interacting with the solar wind plasma. The first time we investigate the pitch-angle dependence of perpendicular diffusion for different parameter regimes. These results are important for numerical solutions of the pitch-angle dependent Cosmic Ray Fokker-Planck equation. We compare our finding also with predictions made by analytical theory.

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Magnetic Field Line Random Walk in Two‐dimensional Turbulence: Markovian Diffusion versus Superdiffusion

Cited by 24 publications

References 36 publications

The role of the Kubo number in two-component turbulence

The role of the Kubo number in two-component turbulence

Magnetic field line random walk in two-dimensional dynamical turbulence

Pitch-Angle Dependent Perpendicular Diffusion of Energetic Particles Interacting With Magnetic Turbulence

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