  We investigate thermal transport along a one-dimensional lattice of classical
inertial rotators, with attractive couplings which decrease with distance as
$r^{-\alpha}$ ($\alpha \ge 0$), subject at its ends to Brownian heat reservoirs
at different temperatures with average value $T$. By means of numerical
integration of the equations of motion, we show the effects of the range of the
interactions in the temperature profile and energy transport, and determine the
domain of validity of Fourier's law in this context. We find that Fourier's
law, as signaled by a finite $\kappa$ in the thermodynamic limit, holds only
for sufficiently short range interactions, with $\alpha >\alpha_c(T)$. For
$\alpha<\alpha_c(T)$, a kind of insulator behavior emerges at any $T$.
