Thermodynamically consistent equilibrium properties of normal-liquid Helium-3
Abstract
The high-precision data for the specific heat CV(T,V) of normal-liquid Helium-3 obtained by Greywall, taken together with the molar volume V(T0,P) at one temperature T0, are shown to contain the complete thermodynamic information about this phase in zero magnetic field. This enables us to calculate the T and P dependence of all equilibrium properties of normal-liquid Helium-3 in a thermodynamically consistent way for a wide range of parameters. The results for the entropy S(T,P), specific heat at constant pressure CP(T,P), molar volume V(T,P), compressibility kappa(T,P), and thermal expansion coefficient alpha(T,P) are collected in the form of figures and tables. This provides the first complete set of thermodynamically consistent values of the equilibrium quantities of normal-liquid Helium-3. We find, for example, that alpha(T,P) has a surprisingly intricate pressure dependence at low temperatures, and that the curves alpha(T,P) vs T do not cross at one single temperature for all pressures, in contrast to the curves presented in the comprehensive survey of helium by Wilks. Corrected in cond-mat/9906222v3: The sign of the coefficient d0 was misprinted in Table I of cond-mat/9906222v1 and v2. It now correctly reads d0=-7.1613436. All results in the paper were obtained with the correct value of d0. (We would like to thank for E. Collin, H. Godfrin, and Y. Bunkov for finding this misprint.)
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