The thermodynamic characteristics of liquid 4He and 3He are determined in the temperature range where effects of the particle statistics can be neglected. Experimental data are used to determine the kinetic energies and of liquid 4He and 3He as functions of density n at T = 0 to an accuracy corresponding to small exchange effects. The potential energies and are indistinguishable to high accuracy and depend linearly on n. The kinetic energies K are inversely proportional to the atomic mass M, so that . A diffusion model of quantum nondegenerate liquids is proposed for liquid 4He. A detailed comparison of theory and experiments reveals the existence of quantum scaling. With a suitable temperature scale, it is possible to obtain reduced thermodynamic characteristics of the quantum nondegenerate liquids that depend weakly on the density of the medium and the particle statistics.
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June 2014
Research Article|
June 01 2014
On the thermodynamics of quantum liquids
E. V. Lebedeva;
E. V. Lebedeva
a)
Institute of Solid State Physics
, Russian Academy of Sciences, Chernogolovka, Moscow Region 142432, Russia
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A. M. Dyugaev;
A. M. Dyugaev
L. D. Landau Institute of Theoretical Physics
, Russian Academy of Sciences, Chernogolovka, Moscow Region 142432, Russia
and Max-Planck Institute for the Physics of Complex Systems
, Dresden D-01187, Germany
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P. D. Grigor'ev
P. D. Grigor'ev
L. D. Landau Institute of Theoretical Physics
, Russian Academy of Sciences, Chernogolovka, Moscow Region 142432, Russia
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a)
Email: lebedeva@issp.ac.ru
Low Temp. Phys. 40, 475–481 (2014)
Citation
E. V. Lebedeva, A. M. Dyugaev, P. D. Grigor'ev; On the thermodynamics of quantum liquids. Low Temp. Phys. 1 June 2014; 40 (6): 475–481. https://doi.org/10.1063/1.4881196
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