Effects of various dissipation range onset models on the 26-day variations of low-energy galactic cosmic-ray electrons

The effect of various models presented by Leamon et al. (2000) for the dissipation range cutoff wavenumber on the 26-day variations of galactic cosmic-ray electrons in a Fisk-Parker hybrid field is investigated, by means of a three-dimensional steady-state numerical modulation code. Analytical expressions for the mean free paths parallel and perpendicular to the heliospheric magnetic field are adapted from the works of Teufel and Schlickeiser (2003) and Shalchi et al. (2004), respectively. Note that only solar minimum conditions are considered, and that only qualitative agreement with data is sought. Effective diffusion for galactic electrons pertaining to 26-day variations is found to be dominated by the ratio of the perpendicular to parallel mean free paths at low energies, and the relationship between changes in cosmic-ray intensities and the modulation parameter postulated by Zhang (1997) is found to no longer hold when this ratio drops below a critical value. Use of ion inertial scale dependent models for the dissipation range cutoff leads to possible second linearities in the relative amplitudes as functions of latitude gradient.