https://doi.org/10.1140/epje/s10189-024-00412-z
Regular Article - Flowing Matter
Virial equation of state for a granular system
Department of Physical Sciences, Indian Institute of Science Education and Research Mohali, Knowledge City, Sector 81, SAS Nagar, 140306, Mohali, Punjab, India
b
prasenjit.das@iisermohali.ac.in
Received:
14
November
2023
Accepted:
26
February
2024
Published online:
18
March
2024
The equation of state for an ideal gas is simple, which is 
. 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 
. In this paper, we have obtained the first four virial coefficients for a model interaction potential 
using multidimensional Monte-Carlo integration and importance sampling methods. Next, we perform molecular dynamics simulations with the same 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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
