Theory of Heat Capacity of Liquid Helium-4 for Temperatures above the Critical Point

I.O. Vakarchuk; V.S. Pastukhov; R.O. Prytula

doi:10.15407/ujpe57.12.1214

Theory of Heat Capacity of Liquid Helium-4 for Temperatures above the Critical Point

Authors

I.O. Vakarchuk Ivan Franko National University of L'viv
V.S. Pastukhov Ivan Franko National University of L'viv
R.O. Prytula Ivan Franko National University of L'viv

DOI:

https://doi.org/10.15407/ujpe57.12.1214

Keywords:

Abstract

We analyze numerically the behavior of the heat capacity of liquid ⁴He for the entire temperature range with the corresponding formula for the internal energy obtained in Ref. [I.O. Vakarchuk, R.O. Prytula, A.A. Rovenchak, J. Phys. Stud. 11, 259 (2007)] combined with a simple calculation of the effective mass of interacting Bose particles. The results agree quite well with experimental data.

References

N.N. Bogoliubov, J. Phys. (USSR) 11, 23 (1947).

N.N. Bogoliubov and D.N. Zubarev, Sov. Phys. JETP 1, 83 (1955).

R. Brout, Phase Transitions (Benjamin, New York, 1965).

https://doi.org/10.1007/978-1-4899-6443-4_1

I.O. Vakarchuk, V.V. Babin, and A.A. Rovenchak, J. Phys. Stud. 4, 16 (2000).

https://doi.org/10.30970/jps.04.16

I.O. Vakarchuk and A.A. Rovenchak, J. Phys. Stud. 5, 126 (2001)

https://doi.org/10.30970/jps.05.126

Condens. Matter. Phys. 4, 431 (2001).

https://doi.org/10.5488/CMP.4.3.431

I.O. Vakarchuk, R.O. Prytula, and A.A. Rovenchak, J. Phys. Stud. 11, 259 (2007).

https://doi.org/10.30970/jps.11.259

T. Lindenau, M.L. Ristig, J.W. Clark, and K.A. Gernoth, J. Low Temp. Phys. 129, 143 (2002).

https://doi.org/10.1023/A:1020844106524

R.P. Feynman, Phys. Rev. 91, 1291 (1953).

https://doi.org/10.1103/PhysRev.91.1291

A. Isihara and T. Samulski, Phys. Rev. B 16, 1969 (1977).

https://doi.org/10.1103/PhysRevB.16.1969

I.O. Vakarchuk, Lviv Univer. Bull. 26, 29 (1993).

A.A. Rovenchak, Fiz. Nizk. Temp. 29, 145 (2003).

https://doi.org/10.1111/j.1747-4477.2003.tb00543.x

I. O. Vakarchuk, J. Phys. Stud. 1, 25 (1996); J. Phys. Stud. 1, 156 (1997).

https://doi.org/10.30970/jps.01.25

I.O. Vakarchuk, J. Phys. Stud. 8, 223 (2004).

https://doi.org/10.30970/jps.08.223

M. Vavrukh and T. Krokhmalskii, Phys. Stat. Sol. 168, 519 (1991).

https://doi.org/10.1002/pssb.2221680213

N.M. March, W.H. Young, S. Sampanthar, The Many-Body Problems in Quantum Mechanics (Cambridge University Press, Cambridge, 1967).

I.O. Vakarchuk and V.S. Pastukhov, J. Phys. Stud. 15, 3003 (2011).

https://doi.org/10.30970/jps.15.3003

I.A. Vakarchuk, Theor. Math. Phys. 82, 308 (1990).

https://doi.org/10.1007/BF01029225

R.J. Donnelly and C.F. Barenghi, J. Phys. Chem. Ref. Data. 27, 1217 (1998).

https://doi.org/10.1063/1.556028

I.A. Vakarchuk and P.A. Glushak, Theor. Math. Phys. 75, 399 (1988).

https://doi.org/10.1007/BF01017174

V.D. Arp, Int. J. Thermophys. 26, 1477 (2005).

https://doi.org/10.1007/s10765-005-8098-1

D.M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).

https://doi.org/10.1103/RevModPhys.67.279

V.D. Arp, R.D. McCarty, and D.G. Friend, Natl. Inst. Stand. Technol. Tech. Note 1334 (revised) (1998).

J.A. Lipa, J.A. Nissen, D.A. Stricker, D.R. Swanson, and T.C.P. Chui, Phys. Rev. B 68, 174518 (2003).

https://doi.org/10.1103/PhysRevB.68.174518

J. Kaupuzs, Eur. Phys. J. B 45, 459 (2005).

https://doi.org/10.1140/epjb/e2005-00208-2

M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, Phys. Rev. B 74, 144506 (2006).

https://doi.org/10.1103/PhysRevB.74.144506

A.A. Pogorelov and I.M. Suslov, JETP Letters 86, 39 (2007).

https://doi.org/10.1134/S0021364007130097

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Published

2012-12-15

How to Cite

Vakarchuk, I., Pastukhov, V., & Prytula, R. (2012). Theory of Heat Capacity of Liquid Helium-4 for Temperatures above the Critical Point. Ukrainian Journal of Physics, 57(12), 1214. https://doi.org/10.15407/ujpe57.12.1214

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Issue

Vol. 57 No. 12 (2012)

Section

Soft matter

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