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Virial coefficients of the uniform electron gas from path-integral Monte Carlo simulations
G Röpke1, T Dornheim2, J Vorberger3
1Institute of Physics, University of Rostock, Albert-Einstein-Str. 23-24, D-18059 Rostock, Germany.
Path-integral Monte Carlo simulations enhance understanding of plasma properties at low densities. These findings improve equation-of-state models for conditions relevant to helioseismology.
Area of Science:
- Plasma Physics
- Statistical Mechanics
Background:
- Plasma properties at low densities are described by virial expansions.
- Analytical expressions for virial coefficients are limited, with only the first three known from Green's function methods.
Purpose of the Study:
- To analyze virial expansions using accurate path-integral Monte Carlo (PIMC) simulations.
- To derive interpolation formulas for plasma properties and assess their validity.
Main Methods:
- Utilizing path-integral Monte Carlo (PIMC) simulations for the uniform electron gas.
- Employing exact expressions for the second virial coefficient to validate PIMC accuracy.
- Discussing the fourth virial coefficient, which remains analytically unknown.
Main Results:
- PIMC simulations provide accurate data for analyzing virial expansions.
- The accuracy of PIMC and existing interpolation formulas (Groth et al.) is tested against the exact second virial coefficient.
- Insights into the fourth virial coefficient are gained through simulation analysis.
Conclusions:
- PIMC simulations are crucial for extending the analysis of virial expansions beyond known analytical limits.
- Combining PIMC with exact results offers improved equation-of-state representations for astrophysical applications like helioseismology.
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