Spin-down of a neutron star changes the relative equilibrium concentration and causes deconfinement phase transition as well. Thus, there are two channels through which the beta equilibrium is violated. One is the direct contribution of spin-down compression. Another is the contribution of the deconfinement phase transition. We study the direct contribution of the spin-down compression in chemical deviations and thermal evolution in stars containing mixed-phase matter. Results imply that the direct contribution of spin-down compression is not important for rotochemical deviations in stars containing mixed-phase matter.