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- Title
Virial equation of state for a granular system.
- Authors
Howlader, Subhanker; Das, Prasenjit
- 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 .
- Subjects
EQUATIONS of state; VIRIAL coefficients; REAL gases; MOLECULAR dynamics; IDEAL gases; UTOPIAS
- Publication
European Physical Journal E -- Soft Matter, 2024, Vol 47, Issue 3, p1
- ISSN
1292-8941
- Publication type
Article
- DOI
10.1140/epje/s10189-024-00412-z