메뉴 건너뛰기




Volumn 11, Issue 12, 2004, Pages 5452-5461

Nonlocal nonlinear electrostatic gyrofluid equations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTROSTATICS; FOURIER TRANSFORMS; FREE ENERGY; GYROTRONS; KINETIC ENERGY; LAGRANGE MULTIPLIERS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; POLARIZATION; TOKAMAK DEVICES; TURBULENCE;

EID: 11844304086     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1807850     Document Type: Article
Times cited : (34)

References (49)
  • 1
    • 0018003009 scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (1978) Nucl. Fusion , vol.18 , pp. 1089
    • Tang, W.M.1
  • 2
    • 0020720147 scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (1983) Nucl. Fusion , vol.23 , pp. 331
    • Hugill, J.1
  • 3
    • 0022059957 scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (1985) Nucl. Fusion , vol.25 , pp. 543
    • Liewer, P.C.1
  • 4
    • 13044274473 scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (1990) Phys. Fluids B , vol.2 , pp. 2879
    • Wootlon, A.J.1    Carreras, B.A.2    Matsumoto, H.3    McGuire, K.4    Peebles, W.A.5    Ritz, C.P.6    Terry, P.W.7    Zweben, S.J.8
  • 5
    • 0029404103 scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (1995) Plasma Phys. Controlled Fusion , vol.37
    • Connor, J.W.1
  • 6
    • 0001057458 scopus 로고    scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (2000) Plasma Phys. Controlled Fusion , vol.42
    • Hahm, T.S.1    Burrell, K.H.2    Lin, Z.3    Nazikian, R.4    Synakowski, E.J.5
  • 7
    • 0035250107 scopus 로고    scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (2001) Plasma Phys. Controlled Fusion , vol.43 , pp. 155
    • Connor, J.W.1    Pogutse, O.P.2
  • 8
    • 0036573413 scopus 로고    scopus 로고
    • For a series of reviews see W. M. Tang, Nucl. Fusion 18, 1089 (1978); J. Hugill, ibid. 23, 331 (1983); P. C. Liewer, ibid. 25, 543 (1985); A. J. Wootlon, B. A. Carreras, H. Matsumoto, K. McGuire, W. A. Peebles, C. P. Ritz, P. W. Terry, and S. J. Zweben, Phys. Fluids B 2, 2879 (1990); J. W. Connor, Plasma Phys. Controlled Fusion 37, A119 (1995); T. S. Hahm, K. H. Burrell, Z. Lin, R. Nazikian, and E. J. Synakowski, ibid. 42, A205 (2000); J. W. Connor and O. P. Pogutse, ibid. 43, 155 (2001); T. S. Hahm, ibid. 44, A87 (2002).
    • (2002) Plasma Phys. Controlled Fusion , vol.44
    • Hahm, T.S.1
  • 19
  • 20
    • 0001084316 scopus 로고
    • P. Rutherford and E. A. Frieman, Phys. Fluids 11, 569 (1968); J. B. Taylor and R. J. Hastie, Plasma Phys. 10, 479 (1968).
    • (1968) Plasma Phys. , vol.10 , pp. 479
    • Taylor, J.B.1    Hastie, R.J.2
  • 26
    • 4243995387 scopus 로고
    • B. Scott, Phys. Rev. Lett. 65, 3289 (1990); Phys. Fluids B 4, 2468 (1992).
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 3289
    • Scott, B.1
  • 27
    • 0001587236 scopus 로고
    • B. Scott, Phys. Rev. Lett. 65, 3289 (1990); Phys. Fluids B 4, 2468 (1992).
    • (1992) Phys. Fluids B , vol.4 , pp. 2468
  • 29
    • 11844281670 scopus 로고    scopus 로고
    • GEM - An energy conserving electromagnetic gyrofluid model
    • to be published
    • B. Scott, "GEM - An energy conserving electromagnetic gyrofluid model," Phys. Plasmas (to be published).
    • Phys. Plasmas
    • Scott, B.1
  • 33
    • 0003610460 scopus 로고
    • Kl.235
    • E. Noether, Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl.235 (1918); [English translation by M. A. Travel.Transp. Theory Stat. Phys. 1, 183 (1971)], see The Classical Theory of Fields, edited by L. D. Landau and E. M. Lifshitz (Pergamon, New York, 1972) for an elementary introduction
    • (1918) Nachr. Ges. Wiss. Goettingen, Math.-Phys.
    • Noether, E.1
  • 34
    • 84863910689 scopus 로고
    • E. Noether, Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl.235 (1918); [English translation by M. A. Travel.Transp. Theory Stat. Phys. 1, 183 (1971)], see The Classical Theory of Fields, edited by L. D. Landau and E. M. Lifshitz (Pergamon, New York, 1972) for an elementary introduction
    • (1971) Transp. Theory Stat. Phys. , vol.1 , pp. 183
    • Travel, M.A.1
  • 35
    • 0003831091 scopus 로고
    • Pergamon, New York
    • E. Noether, Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl.235 (1918); [English translation by M. A. Travel.Transp. Theory Stat. Phys. 1, 183 (1971)], see The Classical Theory of Fields, edited by L. D. Landau and E. M. Lifshitz (Pergamon, New York, 1972) for an elementary introduction
    • (1972) The Classical Theory of Fields
    • Landau, L.D.1    Lifshitz, E.M.2
  • 42
    • 11844261638 scopus 로고    scopus 로고
    • note
    • E appears also in the symplectic form; these differ by a simple Lie transform. The version used here results in the appearance of polarization effects solely in the self-consistent field equation for the potential, hence the same mathematical structure as in the gyrokinetic theory, which is desirable for computational reasons.
  • 45
    • 0001367102 scopus 로고
    • This choice is set to recover the desired pressure equation with two degrees of freedom, so that the factors in gyroaveraging emerge correctly. CGL theory uses s = pnB [cf. G. F. Chew, M. L. Goldberger, and F. E. Low, Proc. R. Soc. London, Ser. A 236, 112 (1956), and later V. Ilgisonis, Phys. Plasmas 3, 4577 (1996)] but also depends on MHD ordering with respect to the velocities (neEΔp). It is possible the CGL forms are superior in the case full temperature anisotropy is treated; we will address this in future work.
    • (1956) Proc. R. Soc. London, Ser. A , vol.236 , pp. 112
    • Chew, G.F.1    Goldberger, M.L.2    Low, F.E.3
  • 46
    • 0040665563 scopus 로고    scopus 로고
    • This choice is set to recover the desired pressure equation with two degrees of freedom, so that the factors in gyroaveraging emerge correctly. CGL theory uses s = pnB [cf. G. F. Chew, M. L. Goldberger, and F. E. Low, Proc. R. Soc. London, Ser. A 236, 112 (1956), and later V. Ilgisonis, Phys. Plasmas 3, 4577 (1996)] but also depends on MHD ordering with respect to the velocities (neEΔp). It is possible the CGL forms are superior in the case full temperature anisotropy is treated; we will address this in future work.
    • (1996) Phys. Plasmas , vol.3 , pp. 4577
    • Ilgisonis, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.