The diffusive heat transport is considered numerically taking into account
magnetic field line stochasticity in the ergodic divertor configuration on
Tore Supra. In the 3D non-linear simulations the transport coefficients can
have a non-linear dependence on the temperature: Spitzer For parallel and
Bohm-like for transverse heat conductivities. The simulations reproduce the
main experimental features of the temperature field with ergodic divertor:
flattening of the averaged temperature profile in ergodic zone, steep grad
ient near separatrix and small radial modulations, which exhibit the same a
ngle periodicity as the edge resonant harmonics (q = min) of the Ergodic di
vertor spectrum.