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Zero-temperature equation of state of metals in the statistical model with density gradient correction

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  • Perrot, F.

Abstract

The density gradient correction to kinetic energy (nine times smaller than the original von Weizsäcker correction) has been used within local density formalism to calculate the cold compression curve of metals. Numerical results are reported for Li, Be, Al and Cu. The modifications to the Thomas-Fermi-Dirac (TFD) results strongly depend, in the low compression range (ϱ/ϱ0 ⩽ 5), on the electron density of the material. The relative difference between the pressures in the present model and the TFD model regularly decreases with increasing compression, suggesting that TFD is reliable for ϱ/ϱ0 ⩾ 50 in Li, ϱϱ0 ⩾ 20 in Be and Al and ϱ/ϱ0 ⩾ 10 in Cu.

Suggested Citation

  • Perrot, F., 1979. "Zero-temperature equation of state of metals in the statistical model with density gradient correction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(3), pages 555-565.
    • Handle: RePEc:eee:phsmap:v:98:y:1979:i:3:p:555-565
    DOI: 10.1016/0378-4371(79)90153-5
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    References listed on IDEAS

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    1. Sartaj Sahni, 1977. "General Techniques for Combinatorial Approximation," Operations Research, INFORMS, vol. 25(6), pages 920-936, December.
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