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Fundamental solution of diffusion equation for Kappa gas: Diffusion length for suprathermal electrons in solar wind

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Author(s):
Benetti, M. H. ; Silveira, F. E. M. ; Caldas, I. L.
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW E; v. 107, n. 5, p. 8-pg., 2023-05-22.
Abstract

A recent numerical treatment of data obtained by the Parker Solar Probe spacecraft describes the electron concentration in solar wind as a function of the heliocentric distance based on a Kappa distribution with spectral index K = 5. In this work, we derive and, subsequently, solve an entirely different class of nonlinear partial differential equations describing the one-dimensional diffusion of a suprathermal gas. The theory is applied to describe the aforementioned data and we find a spectral index K >= 1.5 providing the widely acknowledged identification of Kappa electrons in solar wind. We also find that suprathermal effects increase the length scale of classical diffusion by one order of magnitude. Such a result does not depend on the microscopic details of the diffusion coefficient since our theory is based on a macroscopic formulation. Forthcoming extensions of our theory by including magnetic fields and relating our formulation to nonextensive statistics are briefly addressed. (AU)

FAPESP's process: 18/03211-6 - Non linear dynamics
Grantee:Iberê Luiz Caldas
Support Opportunities: Research Projects - Thematic Grants