InterJournal Complex Systems, 1971
Status: Accepted
Manuscript Number: [1971]
Submission Date: 2006
Diffusion And Topological Properties Of Phase Space In The Standard Map
Author(s): Aziz Raouak

Subject(s): CX.2

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Abstract:

Abstract: In this work, we have interested to the statistical properties of chaotic field lines in the toroidal geometry of the Tokamak. The poincaré representation of magnetic field lines and the corresponding diffusion coefficient in the presence of resonances are derived. What follow, a particle diffusion process through the island chains in the presence of a weak stochastic perturbation and we show how to modify the methods described in [1,7]. We will include the presence of the stochastic perturbation by including in the standard mapping the effect of the random jump x in the phase variable. The normalised diffusion coefficient computed analytically and compared with numerical computations.

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