SLIDE 20 A possible theoretical interpretation for the radial hardening (II) Cerri, Gaggero, Vittino, Evoli & DG, to be submitted. 2017
- A. Vittino [ CRD045 this conference ]
20
Dij (x,ρ) = [ D|| (x,ρ) - D⊥(x,ρ) ] bi bj + D⊥(x,ρ) δij Anisotropic CR diffusion in the presence of a poloidal magnetic field component
based on Jansson & Farrar 2012
D|| and D⊥ are expected to have different rigidity dependence ( Blasi, De Marco, Stanev 2007 and Snodin et al. 2012 ) found D|| ∝ ρ1/3 D|| ∝ ρ1/2
for Kolmogorov turbulence.
We incorporated this behaviour in the DRAGON 2 code ( Evoli, Gaggero, Vittino,, Di Bernardo, Ligorini, Di Mauro, Ullio, DG , JCAP 2017) allowing for anisotropic diffusion
2 4 6 8 10 12 14
R [kpc ]
2.0 2.2 2.4 2.6 2.8 3.0 3.2
Proton spectral index
Mainly parallel CR escape Mainly perpendicular CR escape
Fermi-LAT analysis Gaggero+2015 analysis ⊥ = 0.5, ✏D = 0.01 ⊥ = 0.6, ✏D = 0.01 ⊥ = 0.7, ✏D = 0.01 ⊥ = 0.5, ✏D = 0.01 ⊥ = 0.6, ✏D = 0.01 ⊥ = 0.7, ✏D = 0.01