• T P Singh

      Articles written in Pramana – Journal of Physics

    • Equilibrium theory of two-dimensional simple liquids

      T P Singh S K Sinha

      More Details Abstract Fulltext PDF

      Using the Wigner-Kirkwood expansion and bare Lennard-Jones (LJ) (12-6) potential, an effectiveLJ potential is derived, which includes the quantum effects through the expressions of the effective diameter(T, λ) and well-depth $$\bar \varepsilon \left( {T,\lambda } \right)$$(T, λ). We use theWCA perturbation theory to calculate the free energy and pressure for theLJ and effectiveLJ potentials. Simple analytic expressions are given for the reference system and the first order correction calculated. The results are quite good at high density. The quantum effects on the free energy and pressure are also discussed.

    • Equilibrium properties of hard non-sphere fluids

      T P Singh J P Sinha S K Sinha

      More Details Abstract Fulltext PDF

      Derivation of the thermodynamic properties of fluids of hard non-spherical molecules of arbitrary symmetry is based on the decoupling approximation. Theoretical expressions are given and calculations made for the equation of state and virial coefficients for hard ellipsoids. These results are compared with Monte Carlo values and show fair agreement in all cases. The theoretical predictions for the equation of state for binary mixtures are compared with the Monte Carlo results for hard spheres and hard prolate spherocylinders. Theoretical expressions for the first order quantum correction to the free energy, pressure and virial coefficients are also given. The quantum effects increase with increase of density and with increase of anisotropy parameter.

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