  The thick center vortex model with the idea of using domain structures is
used to calculate the potentials between two G(2) heavy sources in the
fundamental, the adjoint and the 27 dimensional representations. The potentials
are screened at large distances. This behavior is expected from the thick
center vortex model since G(2) has only a trivial center element which makes no
contribution to the average Wilson loop at the large distance regime. A linear
potential is obtained at intermediate distances for all representations. This
behavior can be explained by the thickness of the vortices (domains) and by
defining a flux for the trivial center element of G(2). The role of the SU(3)
subgroup of G(2) in the linear regime is also discussed. The string tensions
are in rough agreement with the Casimir operators of the corresponding
representations.
