Thermodynamics of the Bose-system with a small number of particles
A theoretical description of the interacting Bose-system is proposed. It is based on the extrapolation of the results obtained for the systems with a small number of particles N = 2, 3, 4 , etc. to the bulk case of N = ∞ . It is shown that already the system with N = 12, 13 behaves almost as a b...
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| Date: | 2001 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2001
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| Series: | Condensed Matter Physics |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/120419 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Thermodynamics of the Bose-system with a small number of particles / I.O. Vakarchuk, A.A. Rovenchak // Condensed Matter Physics. — 2001. — Т. 4, № 3(27). — С. 431-447. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | A theoretical description of the interacting Bose-system is proposed. It is
based on the extrapolation of the results obtained for the systems with a
small number of particles N = 2, 3, 4 , etc. to the bulk case of N = ∞ .
It is shown that already the system with N = 12, 13 behaves almost
as a bulk in a wide temperature range. Special attention is paid to the
phase transition in these systems. The hard sphere potential is used in
calculations. The sequence of heat capacity maxima is approximated as
CmaxN / N ≃ 13.6 − aN⁻ε with ε = 0.0608 giving the value of bulk heat capacity
as 13.6 while experimental value is close to 16. The temperature of
λ -transition is estimated as 2.1–2.3 K versus experimental 2.17 K. Quite
good qualitative and satisfactory quantitative agreement with the experimental
data has been achieved. |
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