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Electrostatic ion-acoustic-like instabilities in the solar wind with a backstreaming alpha particle beam
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10.1063/1.3431631
/content/aip/journal/pop/17/6/10.1063/1.3431631
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/6/10.1063/1.3431631

## Figures

FIG. 1.

Nonlinear dispersion relation [Eq. (2)], vs , for , , , and corresponding to , for (a) , (b) , (c) , and (d) .

FIG. 2.

Nonlinear dispersion relation [Eq. (2)], vs for , , , , , and corresponding to , for (a) , (b) , (c) , (d) , (e) , (f) , and (g) the same as (a), but for .

FIG. 3.

Three dimensional plot for the nonlinear dispersion relation, Eq. (2). The -coordinate represents , while the -coordinate represents . The parameters are , , , , , , , and . This figure is the same case of Fig. 2(g), showing on the plane the instabilities and in the third coordinate [] the growth rates of the instabilities. Thus, the plane , is just the same as Fig. 2(g).

FIG. 4.

Maximum growth rate vs finite amplitude wave amplitude , for and , , , and .

FIG. 5.

Maximum growth rate with vs , for , and with (a) , (b) , (c) , and (d) .

FIG. 6.

Nonlinear dispersion relation [Eq. (2)], vs , for , , , , , , , , for . The arrows show and .

FIG. 7.

Linear dispersion relation [Eq. (1)] for , , , and , showing that for there is no solution for in the first quadrant of the figure.

## Tables

Table I.

Summary of the various electrostatic instabilities in an alpha particle backstreaming solar wind and in counterstreaming alpha particle-proton beams.

/content/aip/journal/pop/17/6/10.1063/1.3431631
2010-06-11
2014-04-21

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