Structural relaxation and frequency-dependent specific heat in a supercooled liquid

We have studied the relation between the structural relaxation and the frequency-dependent thermal response or the specific heat, $c_p\left(\omega \right),$ in a supercooled liquid. The mode coupling theory (MCT) results are used to obtain $c_p\left(\omega \right)$ corresponding to different wave vectors. Due to the two-step relaxation process present in the MCT, an extra peak, in addition to the low-frequency peak, is predicted in specific heat at high frequency.