scholarly journals First test of stochastic growth theory for Langmuir waves in Earth's foreshock

1997 ◽  
Vol 24 (4) ◽  
pp. 369-372 ◽  
Author(s):  
Iver H. Cairns ◽  
P. A. Robinson
Keyword(s):  
Growth Theory ◽  
Langmuir Waves ◽  
Stochastic Growth

scholarly journals Statistics of auroral Langmuir waves

2008 ◽  
Vol 26 (12) ◽  
pp. 3885-3895 ◽  
Author(s):  
M. Samara ◽  
J. LaBelle ◽  
I. H. Cairns
Keyword(s):  
Electric Field ◽  
High Frequency ◽  
Large Range ◽  
Auroral Zone ◽  
Sounding Rocket ◽  
Growth Theory ◽  
Langmuir Waves ◽  
Stochastic Growth ◽  
Gaussian Form ◽  
Frequency Wave

Abstract. The Physics of Auroral Zone Electrons II (PHAZE II) sounding rocket was launched in February 1997 into active pre-midnight aurora. The resulting high frequency wave data are dominated by Langmuir waves. Consistent with many previous observations the Langmuir waves are sporadic, occurring in bursts lasting up to a few hundred ms. We compute statistics of the electric field amplitudes of these Langmuir waves, with two results. First, the shape of the distribution of running averages of the electric field amplitudes remains approximately stationary for a large range of widths of running average less than ~0.3 ms and for a large range of widths exceeding about 1 ms. The interpretation of this transition timescale is unclear but appears unlikely to be of instrumental origin. Second, for 2.6-ms running averages, corresponding to the latter range, the distribution of the logarithm of electric field amplitudes matches a Gaussian form very well for all nine cases studied in detail, hence the statistics are lognormal. These distributions are consistent with stochastic growth theory (SGT).

False Contagion and False Covergence Clubs in Stochastic Growth Theory

2003 ◽  
Author(s):  
Stephen Anthony de Castro ◽  
Flávio de Oliveira Gonçalves
Keyword(s):  
Growth Theory ◽  
Stochastic Growth

scholarly journals Thermal and driven stochastic growth of Langmuir waves in the solar wind and Earth's foreshock

2000 ◽  
Vol 27 (1) ◽  
pp. 61-64 ◽  
Author(s):  
Iver H. Cairns ◽  
P. A. Robinson ◽  
R. R. Anderson
Keyword(s):  
Solar Wind ◽  
Langmuir Waves ◽  
Stochastic Growth

scholarly journals Statistical behavior of foreshock Langmuir waves observed by the Cluster wideband data plasma wave receiver

2004 ◽  
Vol 22 (7) ◽  
pp. 2337-2344 ◽  
Author(s):  
K. Sigsbee ◽  
C. A. Kletzing ◽  
D. A. Gurnett ◽  
J. S. Pickett ◽  
A. Balogh ◽  
...  
Keyword(s):  
Electric Field ◽  
Plasma Wave ◽  
Probability Distributions ◽  
Langmuir Wave ◽  
Growth Theory ◽  
Langmuir Waves ◽  
Electric Field Amplitude ◽  
Statistical Behavior ◽  
Log Normal ◽  
The Waves

Abstract. We present the statistics of Langmuir wave amplitudes in the Earth's foreshock using Cluster Wideband Data (WBD) Plasma Wave Receiver electric field waveforms from spacecraft 2, 3 and 4 on 26 March 2002. The largest amplitude Langmuir waves were observed by Cluster near the boundary between the foreshock and solar wind, in agreement with earlier studies. The characteristics of the waves were similar for all three spacecraft, suggesting that variations in foreshock structure must occur on scales greater than the 50-100km spacecraft separations. The electric field amplitude probability distributions constructed using waveforms from the Cluster WBD Plasma Wave Receiver generally followed the log-normal statistics predicted by stochastic growth theory for the event studied. Comparison with WBD receiver data from 17 February 2002, when spacecraft 4 was set in a special manual gain mode, suggests non-optimal auto-ranging of the instrument may have had some influence on the statistics.

scholarly journals Stochastic growth theory of spatially-averaged distributions of Langmuir Fields in Earth's foreshock

2001 ◽  
Vol 28 (18) ◽  
pp. 3569-3572 ◽  
Author(s):  
Christopher R. Boshuizen ◽  
Iver H. Cairns ◽  
P. A. Robinson
Keyword(s):  
Growth Theory ◽  
Stochastic Growth
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