1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Nonlinear group velocity of an electron plasma wave
Rent:
Rent this article for
USD
10.1063/1.3464467
/content/aip/journal/pop/17/8/10.1063/1.3464467
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/8/10.1063/1.3464467

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the propagation of a plasma pulse whose group velocity is independent of its amplitude and whose damping rate rapidly decreases with . The shape of the pulse at time is given by the blue dashed line, and at time by the green solid line, while the shape of the damping rate is given by the red dashed-dotted line. Due to damping the pulse maximum, , at time , is not located at time at the new maximum, , but at point on the left of . Hence, for this particular example, the group velocity is less than the speed of propagation of the pulse maximum. Moreover, at time , point was located at , i.e., on the left of point corresponding to the same pulse amplitude as point . Therefore, .

Image of FIG. 2.
FIG. 2.

Dimensionless plasma wave amplitude, , as a function of at times (blue solid line) and (green dashed line), obtained from the Vlasov run for the 5 keV case of Table I.

Image of FIG. 3.
FIG. 3.

Our theoretical predictions for the group velocity (blue solid line), and , normalized to the thermal velocity (green dashed line) when the electron density is 10% of the critical one and when (a) , (b) , (c) , and (d) .

Image of FIG. 4.
FIG. 4.

Our theoretical predictions for (blue solid line) and (green dashed line) for a plasma wave with .

Image of FIG. 5.
FIG. 5.

Orbit, calculated between times and of a particle acted upon by the force with and , and whose initial position and velocity are and . The blue solid line is the actual orbit of the trapped electron. The green curve is the symmetric image, with respect to the -axis, of that part of the orbit lying on the half-plane, . The black dashed curve is the virtual separatrix corresponding to the amplitude at .

Tables

Generic image for table
Table I.

Values of the nonlinear group velocity, normalized to the thermal one, either calculated theoretically or numerically, and compared to , also normalized to the thermal velocity. All results correspond to a plasma whose electron density is 10% of the critical one.

Loading

Article metrics loading...

/content/aip/journal/pop/17/8/10.1063/1.3464467
2010-08-03
2014-04-18
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonlinear group velocity of an electron plasma wave
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/8/10.1063/1.3464467
10.1063/1.3464467
SEARCH_EXPAND_ITEM