  Specific heat of the layered NaxCoO2 (x=0.65, 0.70 and 0.75) oxides has been
measured in the temperature range of 3-360 K and magnetic field of 0 and 9 T.
The analysis of data, assuming the combined effect of inter-layer superexchange
and the phase separation into mesoscopic magnetic domains with localized spins
embedded in a matrix with itinerant electronic character, suggests that the
dominant contribution to the specific heat in the region of short-range
ordering is mediated by quasi-2D antiferromagnetic clusters, perpendicular to
the CoO2 layers.
