The density dependence of the transition temperature in a homogenous Bose flui

TL;DR

This paper compares experimental transition temperature data of a homogeneous Bose fluid with theoretical models, confirming the density dependence and identifying a maximum in the transition temperature ratio at certain densities.

Contribution

It provides experimental validation of the density dependence of transition temperature in a homogeneous Bose fluid, aligning with recent theoretical and Monte Carlo calculations.

Findings

Positive shift in transition temperature at low densities

Maximum in T_c/T_0 ratio at specific density

Agreement with theoretical and Monte Carlo predictions

Abstract

Transition temperature data obtained as a function of particle density in the $^4$He-Vycor system are compared with recent theoretical calculations for 3D Bose condensed systems. In the low density dilute Bose gas regime we find, in agreement with theory, a positive shift in the transition temperature of the form $\Delta T/T_0 = \gamma(na^{3})^{1/3}$. At higher densities a maximum is found in the ratio of $T_c /T_0$ for a value of the interaction parameter, na$^3$, that is in agreement with path-integral Monte Carlo calculations.