  The thermodynamical aspects of the conformal time scale factor duality (SFD)
of cosmological models within Einstein Gravity are investigated. We derive the
SFD transformations of the thermodynamical quantities describing the thermal
evolution of the matter fluid and of the apparent horizon. The thermodynamical
properties of the self-dual cosmological models with a modified Chaplygin gas
are studied in detail. We deduce the restrictions on the equation of state
parameters that allow to extend scale factor duality as a UV/IR symmetry of the
cosmological models consistent with their thermodynamical behavior.
