Journal article
Waveform and envelope field statistics for waves with stochastically driven amplitudes
Physics of plasmas, Vol.17(3), pp.032110-032110-14
03/2010
DOI: 10.1063/1.3353092
Abstract
The statistically steady distributions
P
(
log
E
)
and
P
e
(
log
E
e
)
of waveform field
E
and envelope field
E
e
are studied for time-varying waves with stochastically driven amplitudes. The waves are represented in one dimension (1D) by a single mode or superposition of multiple independent modes, whose amplitudes follow stochastic differential equations. Both distributions at low fields follow power laws:
P
(
log
E
)
∝
E
p
and
P
e
(
log
E
e
)
∝
E
e
q
with distinct exponents
p
and
q
. Transitions in both distributions are found between the single-mode and multimode cases, with the distributions in the latter essentially independent of the number
N
(provided
N
≥
2
) of modes. For
N
≥
2
,
p
≈
+
1.0
,
q
≈
+
2.0
, and both distributions agree quantitatively with independent analytic predictions. Applications to Langmuir waves observed in Earth’s polar cusp ionosphere show that both distributions for
N
≥
2
agree quantitatively with the respective observations, suggesting that the Langmuir waves may be 1D and have a stochastic driver.
Details
- Title: Subtitle
- Waveform and envelope field statistics for waves with stochastically driven amplitudes
- Creators
- B Li - University of SydneyIver H Cairns - University of SydneyP. A Robinson - University of SydneyJ LaBelle - Dartmouth CollegeC. A Kletzing - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physics of plasmas, Vol.17(3), pp.032110-032110-14
- DOI
- 10.1063/1.3353092
- ISSN
- 1070-664X
- eISSN
- 1089-7674
- Number of pages
- 14
- Grant note
- NNG04WC27G / NASA NNG05GM37G / NASA
- Language
- English
- Date published
- 03/2010
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199843202771
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