  The deconfinement phase transition from hadronic matter to quark matter can
continuously occur during spins down of neutron stars. It will lead to the
release of latent heat if the transition is the first-order one. We have
investigated the energy release of such deconfinement phase transition for
rotating hybrid stars model which include mixed phase of hadronic matter and
quark matter. The release of latent heat per baryon is calculated through
studying a randomly process of infinitesimal compressing. Finally, we can
self-consistently get the heating luminosity of deconfinement phase transition
by imputing the EOS of mixed phase, and based on the equation of rotation
structure of stars.
