scholarly journals Ion transport and Lévy random walk across the magnetopause in the presence of magnetic turbulence

2003 ◽  
Vol 108 (A11) ◽  
Author(s):  
A. Greco
Keyword(s):  
Random Walk ◽  
Ion Transport ◽  
Magnetic Turbulence ◽  
Lévy Random Walk

Detailed analytical investigation of magnetic field line random walk in turbulent plasmas: II. Isotropic turbulence

2009 ◽  
Vol 75 (2) ◽  
pp. 183-192 ◽  
Author(s):  
I. KOURAKIS ◽  
R. C. TAUTZ ◽  
A. SHALCHI
Keyword(s):  
Magnetic Field ◽  
Random Walk ◽  
Field Line ◽  
Isotropic Turbulence ◽  
Mean Square Displacement ◽  
Analytical Investigation ◽  
Turbulence Spectrum ◽  
Quasilinear Theory ◽  
Magnetic Turbulence ◽  
Field Lines

AbstractThe random walk of magnetic field lines in the presence of magnetic turbulence in plasmas is investigated from first principles. An isotropic model is employed for the magnetic turbulence spectrum. An analytical investigation of the asymptotic behavior of the field-line mean-square displacement 〈(Δx)2〉 is carried out, in terms of the position variable z. It is shown that 〈(Δx)2〉 varies as ~z ln z for large distance z. This result corresponds to a superdiffusive behavior of field line wandering. This investigation complements previous work, which relied on a two-component model for the turbulence spectrum. Contrary to that model, quasilinear theory appears to provide an adequate description of the field-line random walk for isotropic turbulence.

scholarly journals Field line random walk in magnetic turbulence

2021 ◽  
Vol 28 (12) ◽  
pp. 120501
Author(s):  
A. Shalchi
Keyword(s):  
Random Walk ◽  
Field Line ◽  
Magnetic Turbulence

Anomalous diffusion and Lévy random walk of magnetic field lines in three dimensional turbulence

1995 ◽  
Vol 2 (7) ◽  
pp. 2653-2663 ◽  
Author(s):  
G. Zimbardo ◽  
P. Veltri ◽  
G. Basile ◽  
S. Principato
Keyword(s):  
Magnetic Field ◽  
Random Walk ◽  
Anomalous Diffusion ◽  
Three Dimensional ◽  
Field Lines ◽  
Lévy Random Walk

A numerical study of Lévy random walks: Mean square displacement and power-law propagators

2014 ◽  
Vol 81 (1) ◽  
Author(s):  
E. M. Trotta ◽  
G. Zimbardo
Keyword(s):  
Random Walk ◽  
Numerical Model ◽  
Probability Distribution ◽  
Free Path ◽  
Power Law ◽  
Mean Square ◽  
Lévy Flights ◽  
Levy Flights ◽  
Path Duration ◽  
Lévy Random Walk

Non-diffusive transport, for which the particle mean free path grows nonlinearly in time, is envisaged for many space and laboratory plasmas. In particular, superdiffusion, i.e. 〈Δx2〉 ∝tαwith α > 1, can be described in terms of a Lévy random walk, in which case the probability of free-path lengths has power-law tails. Here, we develop a direct numerical simulation to reproduce the Lévy random walk, as distinct from the Lévy flights. This implies that in the free-path probability distributionΨ(x, t) there is a space-time coupling, that is, the free-path length is proportional to the free-path duration. A power-law probability distribution for the free-path duration is assumed, so that the numerical model depends on the power-law slope μ and on the scale distancex0. The numerical model is able to reproduce the expected mean square deviation, which grows in a superdiffusive way, and the expected propagatorP(x, t), which exhibits power-law tails, too. The difference in the power-law slope between the Lévy flights propagator and the Lévy walks propagator is also estimated.

Characterization of acetylcholine-induced ion transport in human duodenum

2001 ◽  
Vol 120 (5) ◽  
pp. A532-A532
Author(s):  
R LARSEN ◽  
M HANSEN ◽  
N BINSLEV ◽  
A MERTZNIELSEN
Keyword(s):  
Ion Transport
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