Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-02-16
Physics
Condensed Matter
Other Condensed Matter
22 pages, 9 figures
Scientific paper
10.1007/s10909-005-4730-5
We have used a Hartree-type electron-helium potential together with a density functional description of liquid $^4$He and $^3$He to study the explosion of electron bubbles submitted to a negative pressure. The critical pressure at which bubbles explode has been determined as a function of temperature. It has been found that this critical pressure is very close to the pressure at which liquid helium becomes globally unstable in the presence of electrons. It is shown that at high temperatures the capillary model overestimates the critical pressures. We have checked that a commonly used and rather simple electron-helium interaction yields results very similar to those obtained using the more accurate Hartree-type interaction. We have estimated that the crossover temperature for thermal to quantum nucleation of electron bubbles is very low, of the order of 6 mK for $^4$He.
Barranco Manuel
Grau Víctor
Mayol Ricardo
Pi Marti
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