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Volumn 80, Issue 6, 2009, Pages

Analytical description for field-line wandering in strong magnetic turbulence

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL DESCRIPTION; ANALYTICAL METHOD; ANALYTICAL TREATMENT; FIELD LINES; MAGNETIC FIELD LINE; MAGNETIC TURBULENCE; MEAN FIELD; RANDOM WALK; STANDARD THEORIES; STOCHASTIC PROPERTIES; TURBULENT MAGNETIC FIELDS;

EID: 75349094074     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.066408     Document Type: Article
Times cited : (17)

References (43)
  • 11
    • 0005419050 scopus 로고
    • edited by F. Frenkiel and P. Sheppard (Academic, New York
    • S. Corrsin, in Atmospheric Diffusion and Air Pollution, edited by, F. Frenkiel, and, P. Sheppard, (Academic, New York, 1959), Vol. 6.
    • (1959) Atmospheric Diffusion and Air Pollution , vol.6
    • Corrsin, S.1
  • 23
    • 65549130887 scopus 로고    scopus 로고
    • 10.1103/PhysRevD.79.083001
    • A. Shalchi and A. Dosch, Phys. Rev. D 79, 083001 (2009). 10.1103/PhysRevD.79.083001
    • (2009) Phys. Rev. D , vol.79 , pp. 083001
    • Shalchi, A.1    Dosch, A.2
  • 24
    • 75349102405 scopus 로고    scopus 로고
    • In the present paper, we also allow δ Bz ≥ B0 in certain applications. This case, corresponding to strong magnetic turbulence is problematic since one can obtain Di (z) →∞. As shown in the following paragraphs, this singularity no longer occurs in the theory and, therefore, definition seems to be unproblematic. However, we keep in mind that for such strong turbulence the theory of FLRW could become inaccurate.
    • In the present paper, we also allow δ Bz ≥ B0 in certain applications. This case, corresponding to strong magnetic turbulence is problematic since one can obtain Di (z) →∞. As shown in the following paragraphs, this singularity no longer occurs in the theory and, therefore, definition seems to be unproblematic. However, we keep in mind that for such strong turbulence the theory of FLRW could become inaccurate.
  • 25
    • 84960552318 scopus 로고
    • 10.1112/plms/s2-20.1.196
    • G. I. Taylor, Proc. London Math. Soc. s2-20, 196 (1922). 10.1112/plms/s2-20.1.196
    • (1922) Proc. London Math. Soc. , vol.220 , pp. 196
    • Taylor, G.I.1
  • 26
    • 0000087635 scopus 로고
    • 10.1063/1.1748449
    • M. S. Green, J. Chem. Phys. 19, 1036 (1951). 10.1063/1.1748449
    • (1951) J. Chem. Phys. , vol.19 , pp. 1036
    • Green, M.S.1
  • 27
    • 12344271673 scopus 로고
    • 10.1143/JPSJ.12.570
    • R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957). 10.1143/JPSJ.12.570
    • (1957) J. Phys. Soc. Jpn. , vol.12 , pp. 570
    • Kubo, R.1
  • 30
    • 75349088793 scopus 로고    scopus 로고
    • Shalchi
    • Shalchi showed that the assumed statistics is less important. Even in cases where the field line distribution is non-Gaussian, Eq. should be a good approximation.
  • 31
    • 0142108958 scopus 로고
    • 10.1103/PhysRevA.24.2135
    • W. H. Matthaeus and C. Smith, Phys. Rev. A 24, 2135 (1981). 10.1103/PhysRevA.24.2135
    • (1981) Phys. Rev. A , vol.24 , pp. 2135
    • Matthaeus, W.H.1    Smith, C.2
  • 32
    • 75349100159 scopus 로고    scopus 로고
    • The following calculations could also be done without this approximation. In this case a further parameter, namely, the ratio δ Bx /δ Bz would control the value of the diffusion coefficient.
    • The following calculations could also be done without this approximation. In this case a further parameter, namely, the ratio δ Bx /δ Bz would control the value of the diffusion coefficient.
  • 35
    • 75349093288 scopus 로고    scopus 로고
    • Eq. can also be derived from Eq. by using the representation (see, e.g.,) L in (z) = k=1 ∞ zk k-n for small arguments corresponding to B 1.
    • Eq. can also be derived from Eq. by using the representation (see, e.g.,) L in (z) = k=1 ∞ zk k-n for small arguments corresponding to B 1.
  • 36
    • 0000655156 scopus 로고
    • Plasma physics and controlled nuclear fusion research
    • Innsbruck, Austria, 23-30 August International Atomic Energy Agency, Vienna discussion on pp. 662-663, Paper No. A80-17751 05-75
    • B. B. Kadomtsev and O. P. Pogutse, Plasma Physics and Controlled Nuclear Fusion Research, Proceedings of the Seventh International Conference, Innsbruck, Austria, 23-30 August 1978 (International Atomic Energy Agency, Vienna, 1979), Vol. 1, pp. 649-662, discussion on pp. 662-663, Paper No. A80-17751 05-75.
    • (1978) Proceedings of the Seventh International Conference , vol.1 , pp. 649-662
    • Kadomtsev, B.B.1    Pogutse, O.P.2
  • 39
    • 0001370365 scopus 로고
    • 10.1103/PhysRevE.51.1412
    • G. Zimbardo and P. Veltri, Phys. Rev. E 51, 1412 (1995). 10.1103/PhysRevE.51.1412
    • (1995) Phys. Rev. e , vol.51 , pp. 1412
    • Zimbardo, G.1    Veltri, P.2
  • 42
    • 0034677610 scopus 로고    scopus 로고
    • 10.1088/0305-4470/33/10/302
    • P. Castiglione, J. Phys. A 33, 1975 (2000). 10.1088/0305-4470/33/10/302
    • (2000) J. Phys. A , vol.33 , pp. 1975
    • Castiglione, P.1
  • 43
    • 0035306023 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.63.047301
    • A. V. Milovanov, Phys. Rev. E 63, 047301 (2001). 10.1103/PhysRevE.63. 047301
    • (2001) Phys. Rev. e , vol.63 , pp. 047301
    • Milovanov, A.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.