Abstract
We further analyze the recently proposed criterion, according to which a superfluid transition occurs whenever the r.m.s. displacement of a particle from its initial position in imaginary time reaches a certain fraction of the interparticle distance. The critical temperature is expressed in terms of the single particle mobility. Within the Drude approximation for the mobility is determined by the friction coefficient (or by the viscosity for dense liquids). To check the validity of the criterion the resulting formula is applied to nonideal Bose gas, to liquid helium and to mixtures. A reasonable qualitative agreement with available experiments is obtained in all cases. In the case of the Bose gas the present approach results also in an upper bound on the peak value of where is the critical temperature for the ideal gas.
- Received 11 April 2000
DOI:https://doi.org/10.1103/PhysRevB.62.9041
©2000 American Physical Society