The European Physical Journal Applied Physics

Research Article

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

R. Tabeta1, H. Imranea1, D. Saifaouia1, A. Dezairia1a2 and F. Miskanea1a2

Theoretical Physics Laboratory, Faculty of Sciences Ain Chock, Casablanca, Morocco

Laboratory of Condensed Matter Physics, Faculty of Sciences Ben M'Sik, Casablanca, Morocco

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.

(Received August 16 1999)

(Revised July 31 2000)

(Accepted September 15 2000)

(Online publication November 15 2000)

PACS:

  • 52.65.-y – Plasma simulation