Phase transitions in the Mitsui model

In this paper, phase transitions in the Mitsui model without longitudinal field but with a transverse one are investigated in the mean field approximation. The one-to-one correspondence has been established between this model and the two-sublattice Ising-type model with longitudinal and transverse fields. Phase diagrams and diagrams of existence of the ferroelectric phase are constructed. In the case $\mathrm{\Omega }=0$ ($\mathrm{\Omega }$ is the transverse field), a simple analytical expression for the tricritical temperature and the condition of existence of the tricritical point are obtained. For $\mathrm{\Omega }\mathrm{\ne }0$, systems of equations for the tricritical point and for the condition of its existence are written.