Abstract
A statistical model for plasma turbulence is examined by employing a basis from the Mori method [H. Mori: Prog. Theor. Phys. 33 (1965) 423]. The Mori method provides a base for the existence of the separation of the memory function from fluctuating force in the nonlinear dynamical equations. An analytic model for the turbulent damping coefficient is derived by use of the Green's function. The model formula takes a non-Markovian form, representing the property of the time-reversibility of the basic equation. A recurrence formula is derived. The continued fraction form is also derived. A formula of the eddy-damping rate is derived. A rigorous relation which is derived by the Mori method is discussed, and is compared to the modelling. This comparison explains a nature of approximation in the modelling.
| Original language | English |
|---|---|
| Article number | 034501 |
| Journal | journal of the physical society of japan |
| Volume | 75 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 1 2006 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
On the basis of statistical theory of strong turbulence in inhomogeneous plasmas. / Itoh, Sanae I.; Itoh, Kimitaka; Mori, Hazime.
In: journal of the physical society of japan, Vol. 75, No. 3, 034501, 01.03.2006.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the basis of statistical theory of strong turbulence in inhomogeneous plasmas
AU - Itoh, Sanae I.
AU - Itoh, Kimitaka
AU - Mori, Hazime
PY - 2006/3/1
Y1 - 2006/3/1
N2 - A statistical model for plasma turbulence is examined by employing a basis from the Mori method [H. Mori: Prog. Theor. Phys. 33 (1965) 423]. The Mori method provides a base for the existence of the separation of the memory function from fluctuating force in the nonlinear dynamical equations. An analytic model for the turbulent damping coefficient is derived by use of the Green's function. The model formula takes a non-Markovian form, representing the property of the time-reversibility of the basic equation. A recurrence formula is derived. The continued fraction form is also derived. A formula of the eddy-damping rate is derived. A rigorous relation which is derived by the Mori method is discussed, and is compared to the modelling. This comparison explains a nature of approximation in the modelling.
AB - A statistical model for plasma turbulence is examined by employing a basis from the Mori method [H. Mori: Prog. Theor. Phys. 33 (1965) 423]. The Mori method provides a base for the existence of the separation of the memory function from fluctuating force in the nonlinear dynamical equations. An analytic model for the turbulent damping coefficient is derived by use of the Green's function. The model formula takes a non-Markovian form, representing the property of the time-reversibility of the basic equation. A recurrence formula is derived. The continued fraction form is also derived. A formula of the eddy-damping rate is derived. A rigorous relation which is derived by the Mori method is discussed, and is compared to the modelling. This comparison explains a nature of approximation in the modelling.
UR - http://www.scopus.com/inward/record.url?scp=33847720375&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33847720375&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.75.034501
DO - 10.1143/JPSJ.75.034501
M3 - Article
AN - SCOPUS:33847720375
VL - 75
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 3
M1 - 034501
ER -