The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
The Accuracy, Consistency, and Speed of an Electron‐Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy
Abstract
An electron-positron equation of state based on table interpolation of the Helmholtz free energy is developed and analyzed. The interpolation scheme guarantees perfect thermodynamic consistency, independent of the interpolating function. The choice of a biquintic Hermite polynomial as the interpolating function results in accurately reproducing the underlying Helmholtz free energy data in the table, and yields derivatives of the pressure, specific entropy, and specific internal energy which are smooth and continuous. The execution speed—evaluated across several different machine architectures, compiler options, and modes of operation—suggests that the Helmholtz equation of state routine is faster than any of the five equation of state routines surveyed by Timmes & Arnett. When an optimal balance of accuracy, thermodynamic consistency, and speed is desirable then the tabular Helmholtz equation of state is an excellent choice, particularly for multidimensional models of stellar phenomena.
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Vetterling, W. T., Teukolsky, S. A., Press, W. H., & Flannery, B. P. (1988) · Cited by 7,701
Fundamentals of Statistical and Thermal Physics
Reif, F. (2010) · International Linear Collider · Cited by 1,243
The Accuracy, Consistency, and Speed of Five Equations of State for Stellar Hydrodynamics
Timmes, F. X., & Arnett, D. (1999) · The Astrophysical Journal Supplement Series · doi:10.1086/313271 · Cited by 262
Self-citation(1996) · Choice Reviews Online · doi:10.5860/choice.34-0899 · Cited by 222
Arnett, D., & Chevalier, R. A. (1996) · Physics Today · doi:10.1063/1.2807808 · Cited by 69
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Metadata
- Authors
- Timmes, F. X., & Swesty, F. D.
- Venue
- The Astrophysical Journal Supplement Series
- Publisher
- American Astronomical Society
- Published
- 2000-02
- Volume
- 126
- Issue
- 2
- Pages
- 501-516
- ISSN
- 0067-0049 (ISSN-L)
- 1538-4365
- OpenAlex
- W2123867568
- Cited by
- 893
- References
- 5
- FWCI
- 4.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The Accuracy, Consistency, and Speed of an Electron‐Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy. https://app.cochat.ai/papers/10.1086/313304
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- Timmes, F. X., & Swesty, F. D. (2000). The Accuracy, Consistency, and Speed of an Electron‐Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy. The Astrophysical Journal Supplement Series. https://doi.org/10.1086/313304
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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