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Stochastic Lagrangian dynamics for charged flows in the E-F regions of ionosphere
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10.1063/1.4794735
/content/aip/journal/pop/20/3/10.1063/1.4794735
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/3/10.1063/1.4794735
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Initial profiles in dimensional units. (a) Plasma temperature. Black solid curve: ion temperature. Red dashed curve: electron temperature. (b) Ion density. (c)Normalized collision frequency. Black solid curve: ion. Red dashed curve: electron. (d) Reaction parameters. Black solid curve: production rate, coordinate at bottom of figure. Red dashed curve: recombination rate, coordinate at top of figure. Vertical axes are the same in all panels.

Image of FIG. 2.
FIG. 2.

(a) Current density divergence scaled by . (b) The resulting electrostatic potential. Eight wave periods are shown. y is the vertical coordinate (altitude), and z is the meridional direction.

Image of FIG. 3.
FIG. 3.

(a) Normalized density in log scale. (b) Zonal velocity. (c) Vertical velocity. (d) Meridional velocity. (e)Electrostatic potential. (b)–(e) are indimensional units. Snapshot is at t = T/4, a quarter wave period.

Image of FIG. 4.
FIG. 4.

(a) Normalized density in log scale. (b) Zonal velocity. (c) Vertical velocity. (d) Meridional velocity. (e)Electrostatic potential. (b)–(e) are indimensional units. Snapshot is at t = 3 T/4, three quarters of a wave period.

Image of FIG. 5.
FIG. 5.

Trajectory comparison for initial conditions of plasma parcels released at x = 1 km, z = 19 km and y between 80 and 220 km. The dots denote the end position of trajectories after integration for a wave period. (a) Deterministic. The three red dots denote trajectories started at , and 220 km, respectively. (b) Random case 1 with diagonal diffusivity. The three red layers denote trajectories started at , and 220 km, respectively. (c) Random case 2 with field aligned diffusivity. The three red layers denote trajectories started at , and 220 km, respectively. Note that the z scale is much larger than the x scale, thus the spread is more in z as compared to in x.

Image of FIG. 6.
FIG. 6.

Statistics of displacements subject to diagonal diffusivity. Row a: first four moments in the x-direction. Row b: first four moments in the z-direction. Row c: first four moments in the y-direction. First column: mean displacement, in km. Second column: standard deviation, in km. Third column: skewness. Fourth column: Kurtosis.

Image of FIG. 7.
FIG. 7.

Statistics of displacements subject to field aligned diffusivity. Row a: first four moments in the x-direction. Row b: first four moments in the z-direction. Row c: first four moments in the y-direction. First column: mean displacement, in km. Second column: standard deviation, in km. Third column: skewness. Fourth column: Kurtosis.

Image of FIG. 8.
FIG. 8.

Probability density function compared to the mean trajectory. The initial condition is chosen at x = 0 km, y = 43 km, and z = 220 km, where nontrivial skewness and kurtosis are present. (a) Diagonal diffusion. (b) Field aligned diffusion. The blue solid curve is the pdf for x displacement. The black dashed curve is the pdf for z displacement, and the red dash-dotted curve is the pdf for y displacement. The three crosses correspond to the mean value for x, y, and z, respectively. Their vertical coordinates are chosen so the location and the peak density are easily comparable.

Image of FIG. 9.
FIG. 9.

(a) Deterministic attractors. (b) Stochastic attractors for the diagonal diffusion case. (c) Stochastic attractors for the field-aligned case.

Image of FIG. 10.
FIG. 10.

Number density of stochastic realization at end of one wave period. (a) The diagonal diffusion case. (b) The field-aligned diffusion case.

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/content/aip/journal/pop/20/3/10.1063/1.4794735
2013-03-13
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Stochastic Lagrangian dynamics for charged flows in the E-F regions of ionosphere
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/3/10.1063/1.4794735
10.1063/1.4794735
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