The recent preliminary determination of masses and physical parameters for
the ROSAT-discovered, weak T Tauri star RX J0529.4+0041, a double-lined ecl
ipsing binary, is a very important test for the pre-main-sequence (PMS) mod
els. In fact, its secondary (0.95 +/- 0.05 M.) is still in the Hayashi phas
e, where the effective temperatures (T-eff) are highly dependent on the mod
eling of the surface convective layers. We present new models for the PMS,
including zero-order thermal modifications that are due to the magnetic fie
ld, generated by the dynamo that is due to the coupling between rotation an
d convection. This generally neglected physical input affects the T-eff loc
ation of the PMS: tracks that do not allow for the effect of the magnetic f
ield on the convective gradients provide an upper limit to the T-eff. The p
resent models can match the H-R diagram location of the secondary of RX J05
29.4+0041 and the low lithium depletion expected for stars of similar to1 M
.. We show that this new feature in the computation is not equivalent to an
artificial parametric change of the convection efficiency. We also point o
ut that more complete models are needed, including a self-consistency model
between the dynamo magnetic field and the evolution of stellar rotation.