The features of the ⋋ structure of the heat capacity of an ideal gas of Bose atoms, which is confined in arbitrarily shaped and sized mesoscopic traps, are considered on the basis of a general exact description of the Bose–Einstein condensation. The main attention is paid to the boundarycondition role in the critical region, in which the heat capacity is described by a self-similar function that is sensitive to perturbations of the confining potential and the boundary-condition variation. Various traps, which allow one to experimentally study the influence of the boundary conditions on the shape of the ⋋ structure of the heat capacity and observe variations in other thermodynamic parameters due to the corresponding rearrangement of the self-similar structure of the critical region, are considered.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Gӧrlitz, J.Vogels, A. Leanhardt, et al., Phys. Rev. Lett., 87, No. 13, 130402 (2001).
D. Rychtarik, B. Engeser, H.-C. N¨agerl, and R. Grimm, Phys. Rev. Lett., 92, No. 17, 173003 (2001).
N. Smith, W. Heathcote, G. Hechenblaikner, et al., J. Phys. B: Atom. Mol. Opt. Phys., 38, No. 3, 223 (2005).
A. L.Gaunt, T. F. Schmidutz, I.Gotlibovych, et al., Phys. Rev. Lett., 110, No. 20, 200406 (2013).
T.Meyrath, F. Schreck, J.Hanssen, et al., Phys. Rev. A, 71, No. 4, 041604 (2005).
K. Henderson, C.Ryu, C.MacCormick, and M.Boshier, New J. Phys., 11, No. 4, 043030 (2009).
L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation, Oxford University Press, Oxford (2003).
I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys., 80, No. 3, 885 (2008).
L.D. Landau and E. M. Lifshitz, Statistical Physics, Pt. 1 Butterworth–Heinemann, Oxford (1980).
S. De Groot, G. Hooyman, and C.Ten Seldam, Proc. Roy. Soc. London A, 203, 266 (1950).
V. V.Kocharovsky and Vl. V.Kocharovsky, Phys. Rev. A, 81, No. 3, 033615 (2010).
V. V.Kocharovsky and Vl. V.Kocharovsky, J. Phys. A: Math. Theor., 43, No. 22, 225001 (2010).
S. V.Tarasov, Vl. V.Kocharovsky, and V.V.Kocharovsky, Phys. Review A, 90, No. 3, 033605 (2014).
S. V.Tarasov, Vl. V.Kocharovsky, and V.V.Kocharovsky, J. Phys. A: Math. Theor., 47, No. 41, 4150035 (2014).
J.Wang, Y.Ma, and J.He, J. Low Temp. Phys., 162, Nos. 1–2, 23 (2011).
S. Inouye, M.Andrews, J. Stenger, et al., Nature, 392, No. 6672, 151 (1998).
N. Nygaard, B. I. Schneider, and P. S. Julienne, Phys. Rev. A, 73, No. 4, 042705 (2006).
R. M. Ziff, G. E. Uhlenbeck, and M.Kac, Phys. Rep., 32, No. 4, 169 (1977).
S. V.Tarasov, Vl. V.Kocharovsky, and V.V.Kocharovsky, J. Stat. Phys., 161, No. 4, 942 (2015).
V. V.Kocharovsky, Vl. V.Kocharovsky, and S.V.Tarasov, JETP Lett., 103, No. 1, 62 (2016).
A.Voros, Commun. Math. Phys., 110, No. 3, 439 (1987).
A.Voros, Adv. Stud. Pure Math., 21, 327 (1992).
M. Holthaus, K.T.Kapale, V. V.Kocharovsky, and M.O. Scully, Physica A: Stat. Mech. Appl., 300, No. 3, 433 (2001).
S.Gupta, K.Murch, K.Moore, et al., Phys. Rev. Lett., 95, No. 14, 143201 (2005).
S. Franke-Arnold, J. Leach, M. J.Padgett, et al., Opt. Express, 15, No. 14, 8619 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 59, No. 6, pp. 554–569, June 2016.
Rights and permissions
About this article
Cite this article
Tarasov, S.V. The ⋋ Structure of the Heat Capacity of an Ideal Gas in the Critical Region of Bose–Einstein Condensation for Various Mesoscopic Traps. Radiophys Quantum El 59, 501–514 (2016). https://doi.org/10.1007/s11141-016-9718-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-016-9718-2