Temperature dependence of the amplitude of power-law growth in the spin-flip kinetic Ising model

A definition of the average size R of the domains observed during a first-order phase transition, which is based on the time-dependent excess internal energy is introduced. The temperature dependence of the growth law for R(t,T), where t is time and T is the quench temperature, has been investigated over a wide range of temperature below and near ${\mathit{T}}_{\mathit{c}}$, in the two-dimensional spin-flip Ising model. The results obtained support the Allen-Cahn growth law, R(t,T${)}^2$∼α(T)t, and allow an estimate of the temperature dependence of the nonuniversal coefficient α(T). Nonmonotonic behavior of α is observed at low temperature, which is attributed to lattice anisotropy.