Calculation of high-order virial coefficients for the square-well potential

Do, Hainam, Feng, Chao, Schultz, Andrew J., Kofke, David A. and Wheatley, Richard J. (2016) Calculation of high-order virial coefficients for the square-well potential. Physical Review E, 94 (1). 013301/1-013301/5. ISSN 1550-2376

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Accurate virial coefficients BN(λ,ε) (where ε is the well depth) for the three-dimensional square-well and square-step potentials are calculated for orders N = 5–9 and well widths λ = 1.1−2.0 using a very fast recursive method. The efficiency of the algorithm is enhanced significantly by exploiting permutation symmetry and by storing integrands for reuse during the calculation. For N = 9 the storage requirements become sufficiently large that a parallel algorithm is developed. The methodology is general and is applicable to other discrete potentials. The computed coefficients are precise even near the critical temperature, and thus open up possibilities for analysis of criticality of the system, which is currently not accessible by any other means.

Item Type: Article
Additional Information: ©2016 American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Chemistry
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Depositing User: Bramwell, Roseanna
Date Deposited: 20 Jul 2016 09:22
Last Modified: 04 May 2020 18:03

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