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.
Similar content being viewed by others
References
Barker J A, Henderson D and Abraham F F 1981Physica A100 226
Chae D G, Ree F W and Ree T 1969J. Chem. Phys. 50 1581
Dash J G 1975Film on solid surfaces (New York: Academic press)
de Boer J and Bird R B 1954 inMolecular theory of gases and liquids (eds) J O Hirschfelder, C F Curtiss and R B Bird (New York: John Wiley)
Glandt E D and Fitts D D 1977J. Chem. Phys. 66 4503
Glandt E D and Fitts D D 1978aJ. Chem. Phys. 68 4546
Glandt E D and Fitts D D 1978bMol. Phys. 35 205
Hansen J P and Weis J J 1969Phys. Rev. 188 314
Henderson D 1975Mol. Phys. 30 971
Henderson D 1977Mol. Phys. 34 301
Kirkwood J G 1933Phys. Rev 44 31
Siddon R L and Schick M 1974Phys. Rev. A9 907
Singh Y and Sinha S K 1981Phys. Rep. 79 213
Steele W A 1973Surf. Sci. 39 149
Steele W A 1974The interaction of gases with solid surfaces (New York: Pergamon press)
Toxvaerd S 1978J. Chem. Phys. 69 4750
Verlet L and Weis J J 1972aPhys. Rev. A5 930
Verlet L and Weis J J 1972bMol. Phys. 24 1012
Weeks T D Chandler D and Andersen H C 1971aJ. Chem. Phys. 54 5237
Weeks J D, Chandler D and Andersen H C 1971bJ. Chem. Phys. 55 5422
Wigner E 1932Phys. Rev. 40 749
Wood W W 1970J. Chem. Phys 52 729
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Singh, T.P., Sinha, S.K. Equilibrium theory of two-dimensional simple liquids. Pramana - J Phys 25, 733–743 (1985). https://doi.org/10.1007/BF02847734
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02847734