Abstract
A set of Langevin equations are used to describe the transport of the guiding centers of charged particles perpendicularly to the main magnetic field and the stochastic transition between the two temperature states is described by a randomly interrupted noise. Using this model, the variation of the running diffusion coefficients in the radial direction is analyzed for two cases of temperature profiles with applications to fusion plasma.
Highlights
The Langevin equations was used before to study the temporal variation of the difusion coefficients in one temperature plasma and to analyze the regime of diffusion of particles in fluctating magnetic field, see e.g. [1]
We assume that the magnetic field fluctuations and the velocity fluctuations are statistically independent: ⟨bm (z) vz (t)⟩b, vz = 0
The difference between the two temperatures has an amplitude of about 1.5 keV, - see figure 2- corresponding to the experimental observations, e.g. [3]
Summary
The Langevin equations was used before to study the temporal variation of the difusion coefficients in one temperature plasma and to analyze the regime of diffusion of particles in fluctating magnetic field, see e.g. [1]. The Langevin equations was used before to study the temporal variation of the difusion coefficients in one temperature plasma and to analyze the regime of diffusion of particles in fluctating magnetic field, see e.g. We aim to study the spatial variation in perpendicular direction of the equilibrium magnetic field in random transition between two temperature state of the plasma using a randomly interrupted noise [2]. We can find many examples of random transitions between two given states both in hot plasmas and in cold plasmas where this model can be used. The stochastic process of jumps between two given temperatures at random times is describing by using a randomly interrupted noise [2]. Where λτ0 is the weighting factor of collisions of kind b and (1 − λτ0) for the collisions of kind a
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