The temperature dependence of heat capacity and relaxation time for a second-order ferroelectric phase transition

The simplest ferroelectric model is used to calculate the temperature dependence of heat capacity and relaxation time for all values of temperature including the critical point. The description of a second-order phase transition is based on a kinetic equation for the distribution function of an internal parameter suggested by Klimontovich [1–3]. A comparison is made between the results of the heat capacity calculation by the Landau theory and that based on the Boltzmann distribution, which is an equilibrium solution of the kinetic equation. The heat capacity and relaxation time are continuous functions in the entire temperature range including the critical point. Both analytical and numerical calculations are performed, and a comparison is made with the estimates previously obtained by Klimontovich using the same approach.