On the basis of statistical theory of strong turbulence in inhomogeneous plasmas

Sanae I. Itoh, Kimitaka Itoh, Hazime Mori

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish
Article number034501
Journaljournal of the physical society of japan
Volume75
Issue number3
DOIs
Publication statusPublished - Mar 1 2006

Fingerprint

turbulence
damping
plasma turbulence
Green's functions
vortices
coefficients
approximation

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 journalArticle

Itoh, Sanae I. ; Itoh, Kimitaka ; Mori, Hazime. / On the basis of statistical theory of strong turbulence in inhomogeneous plasmas. In: journal of the physical society of japan. 2006 ; Vol. 75, No. 3.
@article{c5a733f5773b49cfa3ebecfbce719eef,
title = "On the basis of statistical theory of strong turbulence in inhomogeneous plasmas",
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.",
author = "Itoh, {Sanae I.} and Kimitaka Itoh and Hazime Mori",
year = "2006",
month = "3",
day = "1",
doi = "10.1143/JPSJ.75.034501",
language = "English",
volume = "75",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "3",

}

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 -