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

Hainam Do, Chao Feng, Andrew J. Schultz, David A. Kofke, Richard J. Wheatley

Research output: Journal PublicationArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Article number013301
JournalPhysical Review E
Issue number1
Publication statusPublished - 5 Jul 2016
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


Dive into the research topics of 'Calculation of high-order virial coefficients for the square-well potential'. Together they form a unique fingerprint.

Cite this