1305.1853 (Piero Chiarelli)

Quantum to classical transition in the stochastic hydrodynamic analogy:
the maxima of density at He lambda point and at water-ice phase transition    [PDF]

Piero Chiarelli

In the present paper the gas, liquid and solid phases made of structureless particles, are re-visited to the light of the stochastic quantum hydrodynamic analogy that is able to describe the quantum-to-classical transition. The quantum behavior is maintained on a distance shorter than the theory-defined quantum correlation length (Lc). When, the physical length of the problem is larger than Lc, the model shows that the quantum (potential) interactions may have a finite range of interaction maintaining the non-local behavior on a finite distance quantum non-locality length Lq. The present works shows that when the mean molecular distance is larger than the quantum non-locality length we have a classical phases (gas and van der Waals liquids) while when the mean molecular distance becomes smaller than Lq as well as than Lc we have phases such as a solid crystal or a superfluid one, respectively, that show quantum characteristics. As a consequence of this, the SQHA model is furnish the theoretical connection between the maximum density at the He lambda point and that one near the water-ice solidification point.

View original: http://arxiv.org/abs/1305.1853