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We propose a thermodynamic model of free energy expansion up to eighth orderof magnetisation to describe the complex magnetic phase transitions inferromagnetic superconductor UGe$_2$. The model successfully describestransitions between ordered phases which take place without changing ofmagnetic structure but only of magnetisation which is the case of UGe$_2$ wheretwo magnetic phases with same structure but with different magnitude occur withdecreasing of temperature. We consider the infuence of pressure on magnetictransitions in the simplest form of including it only in pressure dependence ofCurie temperature for the transition between the paramagnetic and themagneticphase with the lower magnetic moment FM1. Our results show that for pressureslower than some limiting pressure the transition betweenlow-andhigh-magnetisation phase remains of crossover type. Above this limitingpressure this transition changes to real thermodynamic transition of firstorder.

Infuence of pressure on magnetic phase transitions in the ferromagnetic superconductor UGe$_2$ -- phenomenological approach