To alleviate the plasma-wall interaction problems in magnetic confinem
ent devices, a stochastic layer is used at the edge of the Tore Supra
tokamak (ergodic divertor). A very important point is to determine the
power deposition on the plasma facing components. Two different kinds
of transport can be identified in such a configuration: stochastic tr
ansport surrounding the confined plasma, with a random walk process, a
nd scrape-off layer (SOL) Like transport, a laminar transport, near th
e plasma facing components. The laminar regime is investigated in term
s of a simple criterion, namely that the power deposition is proportio
nal to the radial penetration of the laminar zone flux tubes over a fi
nite parallel length. The magnetic connection properties of the first
wall components are then determined. The connection lengths are quanti
fied with two characteristic scales. The larger corresponds to one pol
oidal turn and appears to be the characteristic parallel length for la
minar transport. A field line tracing code MASTOC (magnetic stochastic
configuration) is used to compute the complex topology and the statis
tics of the connection in the real tokamak geometry. The numerical sim
ulations are then compared with the experimental heat deposition on th
e modules and neutralizer plates of the Tore Supra ergodic divertor. G
ood agreement is found. Further evidence of laminar transport is also
provided by the tangential view of such structures revealed from H-alp
ha structures in detached plasma experiments.