2023/07/24 by Aaron M. Miller, Miller, Aaron M., Joaquín E. Drut +1
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Phase Equilibria and Thermodynamics #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.2307.13170
openalex publication_date 2023/07/24 · openalex created_date 2023/07/27 · openalex updated_date 2026/07/28
Using schematic model potentials, we calculate exactly the virial coefficients of a classical gas up to sixth order and use them to assess the convergence properties of the virial expansion of basic thermodynamic quantities such as pressure, density, and compressibility. At sufficiently strong couplings, as expected, the virial expansion fails to converge. However, at least for the interactions and parameter ranges we explored, we find that Padé-Borel resummation methods are extremely effective in improving the convergence of the expansion.