It is shown that a nonlocal, suprathermal tail originated near the sol
ar corona base dominates the conductive energy flux at distances r gre
ater than or equal to 2 R(circle dot). A nonlocal analytical expressio
n for the electron heat flux in,,weakly collisional plasmas is derived
by solving the Fokker-Planck equation in a narrow, tail energy range.
A correction to the anisotropy of the distribution function due to th
e divergent magnetic field lines was included. This term is essential
to recover from the delocalization prescription, in the limit r greate
r than or equal to 6 R(circle dot), the well-known Hollweg's Ansatz fo
r the ''collisionless'' heat flux. In the intermediate region 2 R(circ
le dot) less than or equal to r less than or equal to 6 R(circle dot),
the nonlocal convolution smoothly interpolates between the classical
Spitzer-Harm's formula and the so-called collisionless regime.