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    • Equilibrium theory of two-dimensional simple liquids

      T P Singh S K Sinha

      Liquids Volume 25 Issue 6 December 1985 pp 733-743

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      https://www.ias.ac.in/article/fulltext/pram/025/06/0733-0743

    • Keywords

       

      Helmholtz free energy; equation of state; quantum effects; perturbation theory

    • Abstract

       

      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.

    • Author Affiliations

       

      T P Singh1 2 S K Sinha1

      1. Department of Physics, L S College, Bihar University, Muzaffarpur - 842 001, India
      2. Department of Physics, J N College, Dighwara, India

    • Dates

       
      Published
      December 1985
      Manuscript received
      17 April 1985
      Manuscript revised
      17 September 1985

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