we provide conclusions and an outlook on possible future work. II. DENSITY FUNCTIONAL THEORY FOR BINARY HARD PLATELET MIX- TURES B. Grand Potential Functional and Minimisation Principle A. Pair Interactions and Model Parameters We consider a binary mixture of hard circular platelets with vanishing thickness and continuous positional and orientational degrees of freedom. Species 1 and species 2 have radii R$_{1}$ and R$_{2}$ respectively, with R$_{2}$ > R$_{1}$ . The pair potential u$_{ij}$ between two particles i and j , where i, j = 1 , 2, is infinite if the geometrical shapes of the two platelets overlap and zero otherwise and is hence given by where r and r ′ are the positions of the particle centres and ω and ω ′ are unit vectors indicating the particle orientations (normal to the particle surface). The size ratio characterises the radial bidispersity and is the only control parameter in the model. We characterise the thermodynamic state by two dimensionless densities c$_{1}$ = ρ$_{1}$R 3 1 and c$_{2}$ = ρ$_{2}$R 3 $_{1}$, where ρ$_{1}$ and ρ$_{2}$ are the number densities of the two species, ρ$_{i}$ = N$_{i}$/V , where N$_{i}$ is the number of particles of species i = 1 , 2 and V is the system volume. The composition (mole fraction) of the (larger) species 2 is x = ρ$_{2}$/ ( ρ$_{1}$ + ρ$_{2}$ ) and the total dimensionless concentration is c = R 3 $_{1}$( ρ$_{1}$ + ρ$_{2}$ ) = c$_{1}$ + c$_{2}$ . λ = R$_{2}$ R$_{1}$ > 1 (2) u$_{ij}$ ( r − r $^{′}$, ω , ω $^{′}$) =    $^{∞}$ if particles overlap 0 otherwise, (1) ′ Density functional theory (DFT) is formulated on the one-body level of the density dis- tributions ρ$_{i}$ ( r , ω ). The variational principle [41] states that the true equilibrium density profile is the one which minimises the grand potential functional Ω and so obeys δ Ω([ ρ$_{1}$, ρ$_{2}$ ] , µ$_{1}$, µ$_{2}$, V, T ) δρ$_{i}$ ( r , ω ) = 0 , (3) 5