Plasma transport in stochastic magnetic fields. I. General considerations and test particle transport [report]

J.A. Krommes, R.G. Kleva, C. Oberman
1978 unpublished
I the fully self-consistent problem. The formalism which we develop allows natural resolution of all these questions. In particular, the scaling laws of RR emerge as qualitative approximations well motivat.ed in the limits of weak radial localization of the fluctuations and of sufficiently weak stochasticity. (.We define these concepts precisely in Secs. 3 , 4 . ) We treat as well other regimes of interest. Unlike the technique of RR, our formalism is capa.ble of predicting numerical
more » ... umerical coefficients . H0weve.r , we have not fully explored this aspect of the theory. he most important philosophical problem one must resolve in a transport study of this kind is concerned with the validity of the use of statistical techniques to describe the deterministic nature of magnetic lines. (If the magnetic fluctua~tions arise from turbulent fluctuations of the plasma, then the lines are, strict1.y speaking, not deterministic. This is, however, a separate issue. Furthermore, the questions relating to determinism remain relevant when the background correlations decay slnwly, a i i s~f i i l approximation.) The fact that it is appropriate td use statistical arguments to describe the lines follows, in part, from deep theorems of topology far beyond the scope. of this paper and, in part, from experience acquired from-numerical experiments on model systems. Both of these aspects assure us that the phase space of the lines is incredibly complicated,: incJ.uding elements of both coherence and randomness. Previous .attempts at the analytic description of transport in such situations.have essentially ignored these comp1ic:ated details and replaced them by certain intuitive statistical assumptions. Because such approaches are generally tractable,
doi:10.2172/7019009 fatcat:2z62zrqa6nhefmckmcqlwjqdma