The Quantum Potential: The Missing Interaction in the Density Maximum of He4 at the Lambda Point
American Journal of Physical Chemistry
Volume 2, Issue 6, December 2013, Pages: 122-131
Received: Nov. 21, 2013; Published: Dec. 10, 2013
Views 3457      Downloads 156
Author
Piero Chiarelli, National Council of Research of Italy, Interdepartmental Center “E.Piaggio” University of Pisa, Area of Pisa, 56124 Pisa, Moruzzi 1, Italy
Article Tools
PDF
Follow on us
Abstract
The lambda point in liquid He4 is a well established phenomenon acknowledged as an example of Bose-Einstain condensation. This is generally accepted, but there are serious discrepancies between the theory and experimental results, namely the lower value of the transition temperature T and the negative value of dT /dP. These discrepancies can be explained in term of the quantum stochastic hydrodynamic analogy (SQHA). The SQHA shows that at the He4IHe4II superfluid transition the quantum coherence length c becomes of order of the distance up to which the wave function of a couple of He4 atoms extends itself. In this case, the He42 state is quantum and the quantum pseudo-potential brings a repulsive interaction that leads to the negative dT /dP behavior. This fact overcomes the difficulty to explain the phenomenon by introducing a Hamiltonian inter-atomic repulsive potential that would obstacle the gas-liquid transition.
Keywords
Lambda Point, Liquid He4, Maximum Density, Low Temperature Critical Dynamics, Ballistic to Diffusive Transition, Anomalous Transport
To cite this article
Piero Chiarelli, The Quantum Potential: The Missing Interaction in the Density Maximum of He4 at the Lambda Point, American Journal of Physical Chemistry. Vol. 2, No. 6, 2013, pp. 122-131. doi: 10.11648/j.ajpc.20130206.12
References
[1]
F. London, Nature 141 (1938) 643.
[2]
P. Papon, J. Leblon, P.H.E. Meijer, The Physics of Phase Transition, Springer-Verlagh, Berlin, 2002.
[3]
A. M. Guenault, Statistical Physics, Kluwer Academic, Dordrecht, 1995.
[4]
R.P. Feynman, Phys. Rev, 91 (1953) 1291.
[5]
S.T. Butler, M.H. Friedman, Phys. Rev. 98 (1955) 287.
[6]
ibid [5] p. 294.
[7]
D. ter Haar, Phys. Rev. 95 (1954) 895.
[8]
F.A: Deeney, J.P.O’Leary, P. O’Sullivan, Phys. Lett. A 358 (2006) 53.
[9]
Weiner, J.H., Statistical Mechanics of Elasticity (John Wiley & Sons, New York, 1983), p. 317.
[10]
P.Chiarelli, "Can fluctuating quantum states acquire the classical behavior on large scale?" J. Adv. Phys. 2013; 2, 139-163 ; arXiv: 1107.4198 [quantum-phys] 2012.
[11]
Ibid [9] p. 315.
[12]
Ibid [9] p. 406.
[13]
Y. B. Rumer, M. S. Ryvkin, Thermodynamics, Statistical Physics, and Kinetics (Mir Publishers, Moscow, 1980), p. 333.
[14]
ibid [13] p. 334.
[15]
ibid [13] p. 56.
[16]
J. B. Anderson, C. A. Traynor and B. M. Boghosian, J. Chem. Phys. 99 (1), 345 (1993).
[17]
R.A. Aziz and M.A. Slaman, Metrologia 27, 211 (1990).
[18]
Teragon Research 2518 26th Avenue San Francisco, CA 94116, http://www.trgn.com/database/cryogen.html;
[19]
S. Noegi and G.D. Mahan, arXiv:0909.3078v1 (2009).
[20]
R. J. Donnelly and C. F. Barenghi, "The observed properties of liquid Helium at the saturated vapor pressure"; http://darkwing.uoregon.edu/~rjd/vapor1.htm.
[21]
ibid [13] p. 325.
[22]
ibid [13] p. 260.
[23]
F. A. Deeney, J.P O'Leary, 2012; Eur. J. Phys. 33 677 doi:10.1088/0143-0807/33/3/677;
[24]
Chiarelli, P.," Quantum to Classical Transition in the Stochastic Hydrodynamic Analogy: The Explanation of the Lindemann Relation and the Analogies Between the Maximum of Density at He Lambda Point and that One at Water-Ice Phase Transition", Physical Review & Research International, 2013; 3(4): 348-66.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186