论文信息 - Radial Distribution Function Calculated by the Monte‐Carlo Method for a Hard Sphere Fluid

Radial Distribution Function Calculated by the Monte‐Carlo Method for a Hard Sphere Fluid

The radial distribution function of a fluid of rigid spheres has been calculated using IBM equipment by a Monte‐Carlo method which is valid only at relatively low densities. Up to the highest densities studied, 20 percent of closest packing, the radial distribution function agrees within the precision of the method with the one calculated by the use of the superposition approximation in triplet space. Another Monte‐Carlo approach was used at a higher density, 72.4 percent of closest packing, and the results agree with published computations.

B. Alder | S. Frankel | V. A. Lewinson

[1] Marshall N. Rosenbluth,et al. Further Results on Monte Carlo Equations of State , 1954 .

[2] N. Metropolis,et al. Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[3] B. Alder,et al. Radial Distribution Functions and the Equation of State of Fluids Composed of Molecules Interacting According to the Lennard‐Jones Potential , 1952 .

[4] B. Alder,et al. Radial Distribution Functions and the Equation of State of a Fluid Composed of Rigid Spherical Molecules , 1950 .

[5] J. Mayer,et al. Integral Equations between Distribution Functions of Molecules , 1947 .

[6] Max Born,et al. A general kinetic theory of liquids I. The molecular distribution functions , 1946, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.