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

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Autor(es):
Benetti, M. H. ; Silveira, F. E. M. ; Caldas, I. L.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW E; v. 107, n. 5, p. 8-pg., 2023-05-22.
Resumo

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)

Processo FAPESP: 18/03211-6 - Dinâmica não linear
Beneficiário:Iberê Luiz Caldas
Modalidade de apoio: Auxílio à Pesquisa - Temático