One--Component Plasma Equation of State Revisited via Angular--Averaged Ewald Potential
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| Format: | Preprint |
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2025
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| _version_ | 1866909766658293760 |
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| author | Demyanov, G. S. Levashov, P. R. |
| author_facet | Demyanov, G. S. Levashov, P. R. |
| contents | We present analytic fits of classical one--component plasma (OCP) internal energy over a wide range of coupling parameter $0.01\leΓ\le 170$ using Monte--Carlo data in the thermodynamic limit. We extend the dataset obtained in [Demyanov and Levashov, Phys. Rev. E 106, 015204 (2022)] using the angular--averaged Ewald potential with additional points at strong coupling ($Γ=120,\ 150,\ 170$). We then fit two frequently used functional forms for the OCP equation of state: (i) a five-parameter equation by Caillol [J. Chem. Phys. 111, 6538--6547 (1999)] and (ii) the equation by Potekhin and Chabrier [Phys. Rev. E 62, 8554 (2000)] that enforces the Debye--Hückel limit. The presented fits reproduce our MC data within statistical uncertainties, recovering the correct weak-coupling behavior. Coefficients, recommended validity ranges, and comparisons to prior analytical and simulation results are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | One--Component Plasma Equation of State Revisited via Angular--Averaged Ewald Potential Demyanov, G. S. Levashov, P. R. Plasma Physics We present analytic fits of classical one--component plasma (OCP) internal energy over a wide range of coupling parameter $0.01\leΓ\le 170$ using Monte--Carlo data in the thermodynamic limit. We extend the dataset obtained in [Demyanov and Levashov, Phys. Rev. E 106, 015204 (2022)] using the angular--averaged Ewald potential with additional points at strong coupling ($Γ=120,\ 150,\ 170$). We then fit two frequently used functional forms for the OCP equation of state: (i) a five-parameter equation by Caillol [J. Chem. Phys. 111, 6538--6547 (1999)] and (ii) the equation by Potekhin and Chabrier [Phys. Rev. E 62, 8554 (2000)] that enforces the Debye--Hückel limit. The presented fits reproduce our MC data within statistical uncertainties, recovering the correct weak-coupling behavior. Coefficients, recommended validity ranges, and comparisons to prior analytical and simulation results are provided. |
| title | One--Component Plasma Equation of State Revisited via Angular--Averaged Ewald Potential |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2509.02390 |