  We extend the analysis of the recently obtained stringy cosmological
solutions induced by thermal and quantum effects, once space-time supersymmetry
is spontaneously broken by geometrical fluxes. Cases in which more than one
modulus participating in the supersymmetry breaking mechanism are investigated.
The free energy is obtained at the full string level. In the intermediate
cosmological region where the temperature and the supersymmetry breaking scale
are sufficiently smaller than the Hagedorn temperature, the quantum and thermal
corrections are under control and calculable. The reason is that the
contributions to the effective potential of the moduli that are not
participating in the supersymmetry breaking are exponentially suppressed. The
backreaction on the initially flat background results in many cases into
cosmological evolutions, where the dynamics of all complex structure moduli is
frozen. The solutions describe effectively a radiation dominated era, where
thermal effects are never negligible, even if the temperature tends to zero at
late times. We analyze several types of supersymmetry breaking patterns and
examine the stability of the corresponding radiation era.

High Energy Physics - Theory;General Relativity and Quantum Cosmology;High Energy Physics - Phenomenology