On non-Markovian relative diffusion of stochastic magnetic lines
In this paper some aspects related to the spatial relative diffusion of stochastic magnetic-field lines are studied. The nonlinear integral equation for the Lagrangian correlation is transformed into a system of two ordinary differential equations and solved numerically. The system of linear integro-differential equations for the moments is analysed numerically for different values of the alpha-parameter (which is proportional to the ratio of parallel and perpendicular correlation lengths). A critical value for alpha (alpha(crit) = 0.3251) is obtained in a shearless stochastic magnetic-field model. For alpha > alpha(crit) the rate of damping of the anisotropy becomes complex, that means an oscillatory behaviour for the correlations and anisotropies. For alpha < alpha(crit) we find the well known behaviour described in the literature for alpha << 1.
Bibliographic Reference: Report: EUR-CEA-FC-1614 EN (1997) 19pp.
Availability: Available from Association Euratom-CEA, CEN Cadarache, 13108 Saint-Paul-lez-Durance (FR)
Record Number: 199810179 / Last updated on: 1998-02-12
Original language: en
Available languages: en