Table 1
Theoretical versus experimental pulsations for a magnetized cold plasma.
| ω ce | n t | n x | ρ sp | vth,e/c |
|
|
ωceΔt |
|
|
|
|
|
|
|
||||||||||||
| 0.5 | 4000 | 32 | 4 | 0.04 | 1.28 | 2.56 | 7.9 × 10-4 | 1.01 | 0.79, 1.28 | 1.010 | 0.78 | 1.28 |
| ′′ | ′′ | ′′ | 16 | ′′ | ′′ | ′′ | ′′ | 1.01 | 0.79, 1.28 | ′′ | ′′ | ′′ |
|
|
||||||||||||
| 1 | 1000 | 25 | 16 | ′′ | 1 | 1 | 6.3 × 10-3 | 1.01 | 0.64, 1.62 | 1.010 | 0.62 | 1.62 Fig. 2 |
| ′′ | 4000 | 32 | 4 | ′′ | 1.28 | 1.28 | 1.6 × 10-3 | 1.01 | 0.64, 1.62 | ′′ | ′′ | ′′ |
|
|
||||||||||||
| 2 | 1000 | 16 | 4 | ′′ | 0.64 | 0.32 | 1.3 × 10-2 | 1.01 | 0.43, 2.64 | 1.010 | 0.41 | 2.41 |
| ′′ | 1000 | 25 | 16 | ′′ | 1 | 0.5 | ′′ | 1.01 | 0.46, 2.40 | ′′ | ′′ | ′′ |
| ′′ | 4000 | 43 | 4 | ′′ | 1.72 | 0.86 | 3.1 × 10-3 | 1.01 | 0.46, 2.40 | ′′ | ′′ | ′′ |
| ′′ | 4000 | 64 | 4 | ′′ | 2.56 | 1.28 | ′′ | 1.01 | 0.46, 2.40 | ′′ | ′′ | ′′ |
|
|
||||||||||||
| 4 | 1000 | 25 | 4 | ′′ | 1 | 0.25 | 2.5 × 10-2 | 1.01 | 0.32, 4.22 | 1.010 | 0.24 | 4.24 |
| ′′ | 2000 | 128 | 4 | ′′ | 5.12 | 1.28 | 1.3 × 10-2 | 1.01 | 0.32, 4.21 | ′′ | ′′ | ′′ |
Notes. and are the peak in the spectra of the parallel and perpendicular total particle momentum from the simulations. The right columns give the theoretical pulsations for a cold plasma. See the main text for the formula. Here mi/me = 49, for the expression of the plasma pulsation ωP, and mi/me = ∞ for the expressions of the right and left cut-off pulsations (ωR and ωL). The duration of each simulation is 100 Tpe, implying a spectral precision of Δω = 0.01ωpe. Ion and electron temperatures are equal. and are the electron Debye length and Larmor radius in units of cell number. All pulsations are in units of ωpe.
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