Hard sphere: virial coefficients: Difference between revisions
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| Virial / Dimension || 2 || 3 || 4 || 5 || 6 || 7 || 8 | | Virial / Dimension || 2 || 3 || 4 || 5 || 6 || 7 || 8 | ||
|- | |- | ||
| <math>B_3/B_2^2</math> || 0.782004...|| 0.625 || 0.506340... || 0.414063... || 0.340941... || 0.282227... || 0.234614... | | <math>B_3/B_2^2</math> || 0.782004... || 0.625 || 0.506340... || 0.414063... || 0.340941... || 0.282227... || 0.234614... | ||
|- | |- | ||
| <math>B_4/B_2^3</math> || || || | | <math>B_4/B_2^3</math> || 0.53223180...|| 0.2869495... || 0.15184606... || 0.0759724807... || 0.03336314... || 0.0098649662... || -0.00255768... | ||
|- | |- | ||
| <math>B_5/B_2^4</math> || || || || || || || | | <math>B_5/B_2^4</math> || || || || || || || |
Revision as of 11:58, 21 March 2007
Virial / Dimension | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
0.782004... | 0.625 | 0.506340... | 0.414063... | 0.340941... | 0.282227... | 0.234614... | |
0.53223180... | 0.2869495... | 0.15184606... | 0.0759724807... | 0.03336314... | 0.0098649662... | -0.00255768... | |
Virial coefficients of hard spheres and hard disks can be found in the following references.
References
- Stanislav Labík, Jirí Kolafa, and Anatol Malijevský, "Virial coefficients of hard spheres and hard disks up to the ninth", Physical Review E 71 pp. 021105 (2005)
- Nathan Clisby and Barry M. McCoy "Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions", Journal of Statistical Physics 122 pp. 15-57 (2006)