Hostname: page-component-848d4c4894-xm8r8 Total loading time: 0 Render date: 2024-07-04T21:39:00.872Z Has data issue: false hasContentIssue false

Stochastic magnetic field lines diffusion in a toroidal configuration(Tokamak)

Published online by Cambridge University Press:  15 November 2000

R. Tabet
Affiliation:
Theoretical Physics Laboratory, Faculty of Sciences Ain Chock, Casablanca, Morocco
H. Imrane
Affiliation:
Theoretical Physics Laboratory, Faculty of Sciences Ain Chock, Casablanca, Morocco
D. Saifaoui*
Affiliation:
Theoretical Physics Laboratory, Faculty of Sciences Ain Chock, Casablanca, Morocco
A. Dezairi
Affiliation:
Theoretical Physics Laboratory, Faculty of Sciences Ain Chock, Casablanca, Morocco Laboratory of Condensed Matter Physics, Faculty of Sciences Ben M'Sik, Casablanca, Morocco
F. Miskane
Affiliation:
Theoretical Physics Laboratory, Faculty of Sciences Ain Chock, Casablanca, Morocco Laboratory of Condensed Matter Physics, Faculty of Sciences Ben M'Sik, Casablanca, Morocco
Get access

Abstract

In this paper, the stochastic magnetic field lines diffusion is studied. The stochastic behavior of the magnetic field lines is described by the generalized mapping to the second order which is derived from the magnetic field lines equations. The diffusion coefficient is calculated analytically using the Fourier paths technique and the characteristic function formalism. Both, they give exactly the same result of the diffusion coefficient. A numerical determination of the diffusion coefficient is also done.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

R. Balescu, Transport processus in plasmas (North-Holland, Amsterdam, 1988), Vol. 2.
Hugon, M., Mendonça, J.T., Rebut, P.H., C. R. Acad. Sci. Paris Série II 308, 1319 (1989).
Mendonça, J.T., Phys. Fluids B 3, 87 (1991). CrossRef
Oualyoudine, A., Saifaoui, D., Dezairi, A., Raouak, A., J. Phys. III France 7, 1045 (1997). CrossRef
A.J. Lightenberg, M.A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1989).
Rechester, A.B., Rosenbluth, M.N., White, R.B., Phys. Rev. A 23, 2664 (1981). CrossRef
Tabet, R., Saifaoui, D., Dezairi, A., Raouak, A., Eur. Phys. J. AP 4, 329 (1998). CrossRef
Cary, J.R., Meiss, J.D., Bhattacharjee, A., Phys. Rev. A 23, 2744 (1981). CrossRef
Boozer, A.H., Phys. Fluids 26, 1288 (1983). CrossRef