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
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Piero Chiarelli, National Council of Research of Italy, Interdepartmental Center “E.Piaggio” University of Pisa, Area of Pisa, 56124 Pisa, Moruzzi 1, Italy
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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.
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
F. London, Nature 141 (1938) 643.
P. Papon, J. Leblon, P.H.E. Meijer, The Physics of Phase Transition, Springer-Verlagh, Berlin, 2002.
A. M. Guenault, Statistical Physics, Kluwer Academic, Dordrecht, 1995.
R.P. Feynman, Phys. Rev, 91 (1953) 1291.
S.T. Butler, M.H. Friedman, Phys. Rev. 98 (1955) 287.
ibid [5] p. 294.
D. ter Haar, Phys. Rev. 95 (1954) 895.
F.A: Deeney, J.P.O’Leary, P. O’Sullivan, Phys. Lett. A 358 (2006) 53.
Weiner, J.H., Statistical Mechanics of Elasticity (John Wiley & Sons, New York, 1983), p. 317.
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.
Ibid [9] p. 315.
Ibid [9] p. 406.
Y. B. Rumer, M. S. Ryvkin, Thermodynamics, Statistical Physics, and Kinetics (Mir Publishers, Moscow, 1980), p. 333.
ibid [13] p. 334.
ibid [13] p. 56.
J. B. Anderson, C. A. Traynor and B. M. Boghosian, J. Chem. Phys. 99 (1), 345 (1993).
R.A. Aziz and M.A. Slaman, Metrologia 27, 211 (1990).
Teragon Research 2518 26th Avenue San Francisco, CA 94116,;
S. Noegi and G.D. Mahan, arXiv:0909.3078v1 (2009).
R. J. Donnelly and C. F. Barenghi, "The observed properties of liquid Helium at the saturated vapor pressure";
ibid [13] p. 325.
ibid [13] p. 260.
F. A. Deeney, J.P O'Leary, 2012; Eur. J. Phys. 33 677 doi:10.1088/0143-0807/33/3/677;
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.
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