Equation of state for fluid helium-3 based on Debye phonon model

An equation of state for He 3 using the Helmholtz potential function has been developed. It is based on the Debye phonon model which goes smoothly to zero in the limit of zero temperature, and reduces to the ideal gas in the limit of zero density and/or very high temperature. The lower temperature l...

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Bibliographic Details
Published in:Applied physics letters 2006-02, Vol.88 (9), p.091905-091905-3
Main Authors: Huang, Y. H., Chen, G. B., Arp, V. D.
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DENSITY
EQUATIONS OF STATE
FREE ENERGY
HELIUM 3
MATERIALS SCIENCE
MELTING
PHONONS
PRESSURE RANGE MEGA PA 10-100
SUPERFLUIDITY
TEMPERATURE RANGE 0000-0013 K
TEMPERATURE RANGE 0013-0065 K
THERMODYNAMICS
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Summary:An equation of state for He 3 using the Helmholtz potential function has been developed. It is based on the Debye phonon model which goes smoothly to zero in the limit of zero temperature, and reduces to the ideal gas in the limit of zero density and/or very high temperature. The lower temperature limit of the equation 10 mK is safely above the superfluid transition at 2.6 mK . The upper limit of 60 K is approximately the upper limit of available He 3 properties measurements. The certain pressure range of validity of the equation is from about 0 to the melting pressure or 15 MPa . State properties are determined from the Helmholtz energy by standard thermodynamics.
ISSN:0003-6951
1077-3118
DOI:10.1063/1.2178867