Scaled Particle Theory of the Isotropic-Nematic Transition

2 Scaled Particle Theory of the Isotropic-Nematic Transition 

a convenient and traetable way to incorporate higher virial coefficients in the treatment of the isotropie-nematic phase transition was already treated for assemblies of hard rods in Seet. 5.4 to obtain the osmotic pressure of an isotropie suspension of rods. The starting point of SPT is the calculation of the reversible work W to insert an additional spherocylinder in the system of spherocylinders to obtain the excess part of the chemical potential (5.30) 

6 Phase Transitions in Suspensions of Rod-Like Colloids Plus Polymers 

Show that by setting y = 1 (and/ = 1 /47u) one recovers the SPT expression for the pressure of a hard sphere fluid. 

Finally, the Helmholtz free energy can be obtained from the relation 

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