Abstract
Non-Gaussian characteristics in time series of the Alfven chaos system are discussed. The phase coherence index, a measure defined by using the surrogate data method and the structure function, is used to evaluate the phase coherence among the Fourier modes. Through Monte Carlo significance testing, it is found that the phase coherence decays monotonically with increasing dissipative parameter and time scale. By applying the Mori projection operator method assuming the Markov process, a model equation for the time correlation function is derived from the generalized Langevin equation. As opposed to the result of the phase coherence analysis, it is concluded that the difference between the direct numerical simulation and the model equation becomes pronounced as the dissipative parameters are increased. This suggests that, even when the phase coherence index is not significant, the underlying physical system may be a non-Gaussian process.
| Original language | English |
|---|---|
| Article number | 033J01 |
| Journal | Progress of Theoretical and Experimental Physics |
| Volume | 2017 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 1 2017 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
Phase coherence among the Fourier modes and non-Gaussian characteristics in the Alfvén chaos system. / Nariyuki, Yasuhiro; Sasaki, Makoto; Kasuya, Naohiro; Hada, Tohru; Yagi, Masatoshi.
In: Progress of Theoretical and Experimental Physics, Vol. 2017, No. 3, 033J01, 01.03.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Phase coherence among the Fourier modes and non-Gaussian characteristics in the Alfvén chaos system
AU - Nariyuki, Yasuhiro
AU - Sasaki, Makoto
AU - Kasuya, Naohiro
AU - Hada, Tohru
AU - Yagi, Masatoshi
PY - 2017/3/1
Y1 - 2017/3/1
N2 - Non-Gaussian characteristics in time series of the Alfven chaos system are discussed. The phase coherence index, a measure defined by using the surrogate data method and the structure function, is used to evaluate the phase coherence among the Fourier modes. Through Monte Carlo significance testing, it is found that the phase coherence decays monotonically with increasing dissipative parameter and time scale. By applying the Mori projection operator method assuming the Markov process, a model equation for the time correlation function is derived from the generalized Langevin equation. As opposed to the result of the phase coherence analysis, it is concluded that the difference between the direct numerical simulation and the model equation becomes pronounced as the dissipative parameters are increased. This suggests that, even when the phase coherence index is not significant, the underlying physical system may be a non-Gaussian process.
AB - Non-Gaussian characteristics in time series of the Alfven chaos system are discussed. The phase coherence index, a measure defined by using the surrogate data method and the structure function, is used to evaluate the phase coherence among the Fourier modes. Through Monte Carlo significance testing, it is found that the phase coherence decays monotonically with increasing dissipative parameter and time scale. By applying the Mori projection operator method assuming the Markov process, a model equation for the time correlation function is derived from the generalized Langevin equation. As opposed to the result of the phase coherence analysis, it is concluded that the difference between the direct numerical simulation and the model equation becomes pronounced as the dissipative parameters are increased. This suggests that, even when the phase coherence index is not significant, the underlying physical system may be a non-Gaussian process.
UR - http://www.scopus.com/inward/record.url?scp=85017096953&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85017096953&partnerID=8YFLogxK
U2 - 10.1093/ptep/ptx016
DO - 10.1093/ptep/ptx016
M3 - Article
AN - SCOPUS:85017096953
VL - 2017
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
SN - 2050-3911
IS - 3
M1 - 033J01
ER -