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The flux, $F$, carried by solid $^4$He in the range $25.6 - 26.3$ bar riseswith falling temperature and at a temperature $T_d$ the flux decreases towardzero. We study $F$ as a function of $^3$He impurity concentration, $\chi$. Attemperatures above $T_d$ the flux has an unexpected universal temperaturedependence and the flux terminates in a narrow window near a characteristictemperature $T_h \approx$ 610 mK, which is independent of $\chi$. We find that$T_d$ is an increasing function of increasing $\chi$. We document that theextinction of the flux at $T_d$ is prompt and precipitous, with the transitioncomplete within a few mK. Comparison of our ($T_d, \chi$) results with acalculated phase separation line suggests that the extinction of the flux isrelated to phase separation.

$^3$He impurities and mass transport through solid $^4$He: a universal temperature dependence and flux extinction