We have calculated the phase diagram of a fluid, the molecules of which are
composed of a string of partially overlapping oblate soft ellipsoid intera
ction sites, by molecular dynamics simulation. The molecules are elongated
in one direction and flattened in the perpendicular direction so that they
become biaxial. We find that when the fluid consisting of 8-site or 9-site
molecules is compressed, a discotic uniaxial nematic phase is formed. Furth
er compression causes a transition to a biaxial phase. The same phase behav
iour is found by compressing a fluid composed of molecules with 10 or 11 si
tes, but in this case the uniaxial phase is calamitic. The 9-site and 10-si
te molecules consequently bracket the Landau bicritical point where there i
s a continuous transition between the isotropic phase and the biaxial nemat
ic phase. This behaviour is consistent with the Landau-de Gennes theory and
mean field theories. However, the molecular dimensions for which the Landa
u point appears differ from the theoretical predictions of the mean field t
heories.