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Titel Reproducing the Solar Wind proton temperature profile via DNS of MHD turbulence
VerfasserIn Victor Montagud-Camps, Roland Grappin, Andrea Verdini
Konferenz EGU General Assembly 2017
Medientyp Artikel
Sprache en
Digitales Dokument PDF
Erschienen In: GRA - Volume 19 (2017)
Datensatznummer 250144447
Publikation (Nr.) Volltext-Dokument vorhandenEGU/EGU2017-8273.pdf
 
Zusammenfassung
Context: The Solar Wind proton temperature Tp shows a radial profile R−0.9 significantly shallower than the adiabatic R−4∕3 profile [Totten et al 1996]. This temperature profile has been attributed to turbulent heating, which requires a dissipation rate equal to Q = 3.610−5TpU∕R[J∕(kg s)] (1) [Vasquez et al 2007]. The possibility of a turbulent heating large enough to modify the radial profile of the temperature has not been verified yet via direct numerical simulations. Aim: We want to test if MHD turbulence developing in the range [0.2,1] AU is able to reproduce the observed R−0.9 temperature profile. Method: We use the expanding box model (EBM) [Grappin & Velli 1996] which incorporates the effects of expansion into the compressible MHD equations, and so allows to follow the evolution of the plasma advected by the solar wind between 0.2 and 1 AU. In the absence of turbulence, the R−4∕3 temperature profile is obtained. We start at 0.2 AU with mean field almost aligned with the radial and k⊥−1 spectrum perpendicular to the mean field [Verdini, Grappin 2016]. Simple phenomenology (Kolmogorov) suggests that the ratio between turbulent heating and the required heating (1) is close to M2∕ε, where M is the Mach number of the large eddies and ε is the nonlinear time normalized by the transport time of the plasma by the wind. We thus explore the (M,ε) parameter space and examine whether a large enough value of M2∕ε indeed allows to recover the temperature profile observed by Totten et al (1996). Results: We have obtained significant slowing down of the adiabatic cooling by considering increasing Mach numbers and/or decreasing ε and approach in some cases the R−0.9 temperature profile. The role of the compressibility in the cascade is examined.