Abstract
| Original language | English |
|---|---|
| Article number | 022208 |
| Journal | Physical Review E |
| Volume | 98 |
| Issue number | 2 |
| Number of pages | 11 |
| ISSN | 2470-0045 |
| DOIs | |
| Publication status | Published - 2018 |
Cite this
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Levy flights on a comb and the plasma staircase. / Milovanov, Alexander V.; Rasmussen, Jens Juul.
In: Physical Review E, Vol. 98, No. 2, 022208, 2018.Research output: Contribution to journal › Journal article › Research › peer-review
TY - JOUR
T1 - Levy flights on a comb and the plasma staircase
AU - Milovanov, Alexander V.
AU - Rasmussen, Jens Juul
PY - 2018
Y1 - 2018
N2 - We formulate the problem of confined Levy flight on a comb. The comb represents a sawtoothlike potential field V(x), with the asymmetric teeth favoring net transport in a preferred direction. The shape effect is modeled as a power-law dependence V (x) α |Δx|n within the sawtooth period, followed by an abrupt drop-off to zero, after which the initial power-law dependence is reset. It is found that the Levy flights will be confined in the sense of generalized central limit theorem if (i) the spacing between the teeth is sufficiently broad, and (ii) n > 4 - μ where μ is the fractal dimension of the flights. In particular, for the Cauchy flights (μ = 1), n > 3. The study is motivated by recent observations of localization-delocalization of transport avalanches in banded flows in the Tore Supra tokamak and is intended to devise a theory basis to explain the observed phenomenology.
AB - We formulate the problem of confined Levy flight on a comb. The comb represents a sawtoothlike potential field V(x), with the asymmetric teeth favoring net transport in a preferred direction. The shape effect is modeled as a power-law dependence V (x) α |Δx|n within the sawtooth period, followed by an abrupt drop-off to zero, after which the initial power-law dependence is reset. It is found that the Levy flights will be confined in the sense of generalized central limit theorem if (i) the spacing between the teeth is sufficiently broad, and (ii) n > 4 - μ where μ is the fractal dimension of the flights. In particular, for the Cauchy flights (μ = 1), n > 3. The study is motivated by recent observations of localization-delocalization of transport avalanches in banded flows in the Tore Supra tokamak and is intended to devise a theory basis to explain the observed phenomenology.
U2 - 10.1103/PhysRevE.98.022208
DO - 10.1103/PhysRevE.98.022208
M3 - Journal article
VL - 98
JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
SN - 2470-0045
IS - 2
M1 - 022208
ER -