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Author(s):
A. Maluckov, N. Nakajima, M. Okamoto, S. Murakami and R. Kanno
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Title:
Statistical Properties of the Neoclassical Radial Diffusion in a Tokamak Equilibrium
Date of publication:
Apr. 2001
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Key words:
neoclassical diffusion, statistics, autocorrelation, Cumulant, Gaussian process, Markovian process, Winner process
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Abstract:
The statistical properties of the neoclassical radial diffusion are confirmed through direct comparision with a Wiener process by the numerical evaluations of the cumulant, diffusion and autocorrelation coefficients. Within the neoclassical framework the origin of stochasticity exists only in velocity space. It is characterized by the stationary, subdiffusive, uniform and Markov process. Through the drift motion of particle guiding centers, the stochasticity in velocity space leads to that in configuration space, i.e., the radial diffusion. It is shown that such a radial diffusion develops as an approximately Wiener process, i.e. the statistically non-stationary, normal diffusive, Gaussian, and Markov process in the asymptotic time region.
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