New insight into short wavelength solar wind fluctuations from Vlasov theory

preprint2012arXivOpen access

Abstract

The nature of solar wind (SW) turbulence below the proton gyroscale is a topic that is being investigated extensively nowadays. Although recent observations gave evidence of the dominance of Kinetic Alfvén Waves (KAW) at sub-ion scales with ω<ωciω<{ω_{ci}}, other studies suggest that the KAW mode cannot carry the turbulence cascade down to electron scales and that the whistler mode (i.e., ω>ωciω>ω_{ci}) is more relevant. Here, we propose to study key properties of the short wavelength plasma modes under realistic SW conditions, typically βi≳βe∼1β_i\gtrsim β_e\sim 1 and for high oblique angles of propagation 80∘≤ΘkB<90∘80^\circ\leq Θ_{\bf kB}<90^\circ as observed from the Cluster data. The linear properties of the plasma modes under these conditions are poorly known, which contrasts with the well-documented cold plasma limit and/or moderate oblique angles of propagation (ΘkB<80∘Θ_{\bf kB} <80^\circ). Based on linear solutions of the Vlasov kinetic theory, we discuss the relevance of each plasma mode (fast, Bernstein, KAW, whistler) in carrying the energy cascade down to electron scales. We show, in particular, that the shear Alfvén mode extends at scales kρi≳1kρ_i\gtrsim1 following either a whistler mode (ω>ωciω>ω_{ci}) or a KAW mode (with ω<ωciω<ω_{ci}) depending on the anisotropy k∥/k⊥k_\parallel/ k_\perp. This contrasts with the well-accepted idea that the whistler branch develops as a continuation at high frequencies of the fast magnetosonic mode. We show, furthermore, that the whistler branch is more damped than the KAW one, which makes the latter a more relevant candidate to carry the energy cascade down to electron scales. We discuss how these new findings may facilitate resolution of the controversy concerning the nature of the small scale turbulence, and we discuss the implications for present and future spacecraft wave measurements in the SW.

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