Entropy driven formation of Smectic C in system of Zig-zag shaped molecules

We have carried out Monte Carlo simulations of zig-zag shaped molecules where the the molecules is composed of three rigidly linked hard spherocylinder arranged in a zigzag fashion. By varying zigzag angle we have mapped out the whole phase diagram as a function of pressure, molecular density and zigzag angle $\mathrm{\Psi }$. For $\mathrm{\Psi }$ between ${35}^0$ and ${80}^0$ our model simulation exhibits SmC phase. This is the first conclusive evidence where steric interaction arising out of molecular shape alone induce the occurrence of SmC phase for a wide range of zigzag angle. For smaller $\mathrm{\Psi }$, a transition from tilted crystal (XT) to nontlted crystal is observed.