Cosmic rays density fluctuations with turbulence universal spectrum -8/3

TL;DR

This paper derives an exact universal scaling law of -8/3 for cosmic ray density fluctuations based on a new compressible turbulence theory, linking turbulence dynamics to cosmic ray behavior.

Contribution

It introduces a novel analytical turbulence theory that explains the universal -8/3 scaling law for cosmic ray density fluctuations.

Findings

Derivation of an exact -8/3 scaling law for CR density fluctuations.

Linking turbulence wave breaking to cosmic ray fluctuation spectra.

Application of two-fluid model to cosmic ray turbulence dynamics.

Abstract

An exact turbulence universal scaling law-8/3 for the density fluctuations of cosmic ray (CR) is obtained on the basis of a new analytical compressible turbulence theory and known two-fluid model of the CR dynamics. It is shown that the origin of this scaling law may be due to the breaking of the nonlinear simple waves in CR medium near the scale of their Larmor radii as for the space plasma of solar wind and magnetosheath.