Abstract
A simple theory, based on the physical interpretation of the reciprocal of activity, is developed to evaluate the thermodynamic properties of a two-dimensional fluid in the semi-classical limit. The theory is applied to calculate the quantum corrections to the equation of state and excess free energy of two-dimensional fluids, whose molecules interactvia hard-disc and square-well potential. It is found that the quantum effect increases with the increase of density and decrease of temperature.
Similar content being viewed by others
References
Abraham F F 1980Phys. Rev. Lett. 44 463
Andrews F C 1976J. Chem. Phys. 64 1941
Barker J A, Henderson D and Abraham F F 1981Physica A106 226
Dash J G 1975Film on solid surfaces (New York: Academic Press)
Gibson W G and Byrnes S G 1975Phys. Rev. A11 270
Glandt E D and Fitts D D 1978Mol. Phys. 35 205
Henderson D 1975Mol. Phys. 30 971
Henderson D 1977Mol. Phys. 34 301
Kratky K W 1978J. Chem. Phys. 69 2251
Lado F 1968J. Chem. Phys. 49 3092
Siddon R L and Shick M 1974Phys. Rev. A9 907
Singh B P and Sinha S K 1977J. Chem. Phys. 67 3645
Singh B P and Sinha S K 1978J. Chem. Phys. 69 2927
Singh N and Sinha S K 1979J. Chem. Phys. 70 552
Sinha S K, Sainger Y S and Singh Y 1981J. Math. Phys. (In Press)
Sinha S K and Singh Y 1977aJ. Math. Phys. 18 367
Sinha S K and Singh Y 1977bPhys. Rev. A15 2505
Sinha S K and Singh Y 1977cJ. Chem. Phys. 67 2278
Sinha S K and Singh Y 1981Mol. Phys. (In Press)
Steele W A 1974The interaction of gases with solid surfaces (New York: Pergamon Press)
Toxvaerd S 1980Phys. Rev. Lett. 44 463
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rai, L., Sinha, S.K. Quantum corrections to the thermodynamic properties of a two-dimensional fluid with hard-core potential. Pramana - J Phys 18, 17–24 (1982). https://doi.org/10.1007/BF02846529
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02846529