Virial Coefficients for the Hard-Core Gas in Two Dimensions
- 1 February 1965
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 42 (3) , 1116-1118
- https://doi.org/10.1063/1.1696049
Abstract
The fourth virial coefficient for a gas of hard disks is calculated by means of the virial theorem. The exact result is , where b is the second virial coefficient. The numerical value for B4/b3 of 0.532232 confirms previous estimates obtained by Monte Carlo integration. The weights of all four‐point irreducible clusters are also recorded.
Keywords
This publication has 8 references indexed in Scilit:
- Systematic Approach to Explanation of the Rigid Disk Phase TransitionThe Journal of Chemical Physics, 1964
- Fifth and Sixth Virial Coefficients for Hard Spheres and Hard DisksThe Journal of Chemical Physics, 1964
- Phase Transition in Elastic DisksPhysical Review B, 1962
- Equation of State Calculations by Fast Computing MachinesThe Journal of Chemical Physics, 1953
- Radial Distribution Function of a Gas of Hard Spheres and the Superposition ApproximationPhysical Review B, 1952
- Statistical Mechanics of Condensing Systems. IIIThe Journal of Chemical Physics, 1938
- The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic SpheresPhysical Review B, 1936
- The evaluation of Gibbs' phase-integral for imperfect gasesMathematical Proceedings of the Cambridge Philosophical Society, 1927