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Virial equation of state for a granular system.
- Source :
-
European Physical Journal E -- Soft Matter . Mar2024, Vol. 47 Issue 3, p1-9. 9p. - Publication Year :
- 2024
-
Abstract
- The equation of state for an ideal gas is simple, which is P = n k B T . In the case of imperfect gases where mutual interactions among the constituents are important, pressure P can be expressed as the series expansion of density n with appropriate coefficients, known as virial coefficients B m . In this paper, we have obtained the first four virial coefficients for a model interaction potential Φ (r) using multidimensional Monte-Carlo integration and importance sampling methods. Next, we perform molecular dynamics simulations with the same Φ (r) for a many-particle system to obtain P as a function of T and n. We compare our numerical data with the virial equation of state. The plot of Mayer function f(r) as a function of radial distance r for Θ (r) for different inverse temperature β . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12928941
- Volume :
- 47
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- European Physical Journal E -- Soft Matter
- Publication Type :
- Academic Journal
- Accession number :
- 176863750
- Full Text :
- https://doi.org/10.1140/epje/s10189-024-00412-z