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2
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33646603867
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[Sov. Phys. JETP 14, 84 (1962)].
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(1962)
Sov. Phys. JETP
, vol.14
, pp. 84
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-
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4
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0001377332
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[Sov. Phys. JETP 38, 652 (1974)].
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(1974)
Sov. Phys. JETP
, vol.38
, pp. 652
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-
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10
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0034514447
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M. Servin, G. Brodin, M. Marklund, and M. Bradley, Phys. Rev. E 62, 8493 (2000).
-
(2000)
Phys. Rev. E
, vol.62
, pp. 8493
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Servin, M.1
Brodin, G.2
Marklund, M.3
Bradley, M.4
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19
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85107715400
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note
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(m). As we restrict ourself to weak interactions, these derivatives are later approximated by algebraic expressions, i.e., involving frequencies and wave numbers.
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-
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27
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33750333385
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-
note
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The dispersion relation, however, depends on the wave amplitude through the gamma factors, but due to the circular polarization the gamma factors are constant (for free waves).
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-
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29
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33750310353
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-
note
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z=0 for the given solution to be valid, or else the drifts produce a background magnetic field that is not accounted for in the solution. On the other hand, one can always divide a fluid component into several species, each with a different drift velocity, and thereby regain freedom in the relative drifts. Thus we discard this restriction because it should not influence the final result qualitatively.
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-
-
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30
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33750336914
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-
note
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From a mathematical point of view, our large EMW solution (together with the background drift) contains more energy than the state with only the pure drift flow. However, from energy conservation it is clear that the electromagnetic field amplitude cannot be physically altered without simultaneously affecting the drift velocity. When confirming that the wave energy is negative, one should compare with the state where this change in drift flow has been taken into account.
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-
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31
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85107712018
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note
-
ce ) is fixed by the condition ω=k, which depends on the flow velocities, as shown by Eq. (58).
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-
-
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32
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33750291080
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-
note
-
In general the phase & also evolves in time. Equations (80)-(82) are still valid but should be supplemented with an evolution equation for the phase (see, e.g., Ref. [10]). For our purposes, however, it suffices to consider the special cases where the phase is constant.
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-
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33
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33750379136
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note
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By conversion rate we mean the inverse time scale for one wave to be converted into another type of wave.
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-
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35
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85107712641
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-
note
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z appropriate for a boundary value problem. The effects of an inhomogeneous background are neglected.
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36
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0031674623
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G.A. Morou, C.P.J. Barty, and M.D. Perry, Phys. Today 51(1), 22 (1998).
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(1998)
Phys. Today
, vol.51
, Issue.1
, pp. 22
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Morou, G.A.1
Barty, C.P.J.2
Perry, M.D.3
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