  We have used a realistic nuclear potential, AV18, and a many body technique,
the lowest order constraint variational (LOCV) approach, to calculate the
properties of hot magnetized nuclear matter. By investigating the free energy,
spin polarization parameter, and symmetry energy, we have studied the
temperature and magnetic field dependence of the saturation properties of
magnetized nuclear matter. In addition, we have calculated the equation of
state of magnetized nuclear matter at different temperatures and magnetic
fields. It was found that the flashing temperature of nuclear matter decreases
by increasing the magnetic field. In addition, we have studied the effect of
the magnetic field on liquid gas phase transition of nuclear matter. The liquid
gas coexistence curves, the order parameter of the liquid gas phase transition,
and the properties of critical point at different magnetic fields have been
calculated.
