During ergodic divertor operation, strong poloidal and radial modulati
ons of the temperature field have been observed in stochastic boundari
es. Using field line tracing, one finds that steady state modulations
are governed by field lines stochasticity. A 1D radial model is propos
ed, based on a superimposition of two coupled diffusive networks, a fi
rst one standing for the transverse diffusion and a second one account
ing for the effects of the stochastic parallel transport. Modulations
are then recovered under some conditions. The model predicts that the
temperature in the core plasma is not affected by the divertor, which
is experimentally verified.