The application of a periodically modulated driving force has been examined in the melting and crystallization kinetics of
ice crystals confined in a porous media. The kinetic response of transformation gives the real and imaginary parts of the
‘apparent’ heat capacity obtained with a temperature modulated differential scanning calorimetry (TMDSC). Based on a modelling
of the kinetics, the detailed examination of the frequency dispersion and its dependence on underlying heating/cooling rate
enables us to evaluate the transformation rate and the dependence of the rate coefficient on the driving force, i.e. the degree
of supercooling or superheating. The experimental results indicate that the transformation processes are limited by heat diffusion
from the growth interface of each crystallite to surroundings.