A synthesis of the structural and dynamical phenomenology exhibited by hard spheres at equilibrium is presented, with an emphasis on the relation between entropy and multiparticle correlations. A novel criterion for the freezing of the fluid is also proposed.
Three-particle correlations in a hard-sphere fluid
โ Scribed by Phil Attard; George Stell
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 444 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
New theoretical results for the three-particle equilibrium probability distribution function ga( 123) for classical hard-sphere fluids are given on the basis of the Percus-Yevick approximation applied to the inhomogeneous pair distribution function in the presence of a third particle, g2 ( 12/3). In particular, comprehensive results are given for three spheres in rolling contact and partial results are given for two spheres in contact with a third particle in arbitrary position. When compared with available simulation data, our results are found to be accurate, and the inhomogeneous Percus-Yevick approach appears to be the first quantitatively successful one for the three-particle configurations considered here.
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