Abstract
We have used a Hartree–type electron–helium (e–He) potential together with a density functional description of liquid 4He and 3He 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 e-He 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 4He.
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JA. Nissen E. Bodegom LC. Brodie J. Semura (1989) Phys Rev B 40 617
Q Xiong HJ. Maris (1991) J Low Temp Phys. 82 105 Occurrence Handle1:CAS:528:DyaK3MXisFCitLw%3D
H. Lambaré P. Roche S. Balibar HJ. Maris O.A. Andreeva C. Guthmann KO. Keshishev E. Rolley (1998) Eur Phys J B 2 381
S. Balibar (2002) J Low Temp Phys. 129 363 Occurrence Handle1:CAS:528:DC%2BD38XpsVSktbk%3D
T. Satoh M. Morishita M. Ogata S. Katoh (1992) Phys Rev Lett. 69 335 Occurrence Handle1:CAS:528:DyaK38XkvFOmu7s%3D Occurrence Handle10046647
S. Balibar C. Guthmann H. Lambaré P. Roche E. Rolley HJ. Maris (1995) J Low Temp Phys. 101 271 Occurrence Handle1:CAS:528:DyaK2MXpt1Oqsrw%3D
X. Chavanne S. Balibar F. Caupin (2002) J Low Temp Phys. 126 615 Occurrence Handle10.1023/A:1013735705607 Occurrence Handle1:CAS:528:DC%2BD38XhvF2nsrc%3D
J. Classen C.-K. Su HJ. Maris (1996) Phys Rev Lett. 77 2006 Occurrence Handle1:CAS:528:DyaK28XltlGqu7w%3D Occurrence Handle10061833
J. Classen C.-K. Su M. Mohazzab HJ. Maris (1998) Phys Rev B 57 3000 Occurrence Handle1:CAS:528:DyaK1cXosFKitA%3D%3D
C.-K. Su CE. Cramer HJ. Maris (1998) J Low Temp Phys. 113 479 Occurrence Handle1:CAS:528:DyaK1cXns1Smtb0%3D
F. Dalfovo (1992) Phys Rev B 46 5482
HJ. Maris (1994) J Low Temp Phys. 94 125 Occurrence Handle1:CAS:528:DyaK2cXitVSks70%3D
M. Barranco M. Guilleumas DM. Jezek RJ. Lombard J. Navarro M. Pi (1999) J Low Temp Phys. 117 81 Occurrence Handle10.1023/A:1021813922675 Occurrence Handle1:CAS:528:DyaK1MXms1Ogtbo%3D
Barranco M., Guilleumas M., Pi M., Jezek DM., in Microscopic Approaches to Quantum Liquids in Confined Geometries, E. Krotscheck and J. Navarro eds. p. 319 World Scientific, Singapore (2002).
Pi M., Barranco M., Mayol R., contribution to the Symposium on Quantum Fluids and Solids, Trento (Italy), July 5–9, 2004. J. of Low Temp. Phys. 138, 463 (2005). Due to an unfortunate mistake in the electron–helium interaction energy, the numerical results presented in this reference are in error.
RA. Ferrel (1957) Phys Rev. 108 167
D. Konstantinov HJ. Maris (2000) J Low Temp Phys. 121 609 Occurrence Handle1:CAS:528:DC%2BD3MXhtlGltr4%3D
M. Rosenblit J. Jortner (1995) Phys Rev B. 52 17–461
P. Roche G. Deville NJ. Appleyard F.I.B. Williams (1997) J Low Temp Phys. 106 565 Occurrence Handle1:CAS:528:DyaK2sXhs12rsrw%3D
M. Iino M. Suzuki AJ. Ikushima (1985) J Low Temp Phys. 61 155 Occurrence Handle10.1007/BF00682735 Occurrence Handle1:CAS:528:DyaL2MXmtVWgsb8%3D
A. Guirao M. Centelles M. Barranco M. Pi A. Polls X. Viñas (1995) J Phys Condens Matter 4 667
HM. Guo D.O. Edwards RE. Sarwinski JT. Tough (1971) Phys Rev Lett. 27 1259 Occurrence Handle1:CAS:528:DyaE38XjslKqtw%3D%3D
Q. Xiong HJ. Maris (1989) J Low Temp Phys. 77 347 Occurrence Handle10.1007/BF00682750 Occurrence Handle1:CAS:528:DyaK3cXmtlWguw%3D%3D
J. Boronat J. Casulleras J. Navarro (1994) Phys Rev B 50 3427 Occurrence Handle1:CAS:528:DyaK2cXlvVOltro%3D
DM. Jezek M. Guilleumas M. Pi Barranco A J. Navarro (1993) Phys Rev B. 48 16–582
Coleman S., Phys. Rev. D 15, 2929 (1977); C. G. Callan and Coleman S., ibid. 16, 1762 (1977).
EM. Chudnovsky (1992) Phys Rev A 46 8011 Occurrence Handle9908154
C.-K. Su HJ. Maris (1998) J Low Temp Phys. 110 485 Occurrence Handle1:CAS:528:DyaK1cXmt1WisQ%3D%3D
F. Caupin S. Balibar (2001) Phys Rev B 64 064507
T. Nakamura Y. Kanno S. Takagi (1995) Phys Rev B 51 8446 Occurrence Handle1:CAS:528:DyaK2MXkvV2ltrY%3D
DN. Sinha JS. Semura LC. Brodie (1982) Phys Rev A 26 1048 Occurrence Handle1:CAS:528:DyaL38XltFGntbk%3D
M. Guilleumas M. Barranco DM. Jezek RJ. Lombard M. Pi (1996) Czech J Phys S 46(Suppl 1) 389
E. Tanaka K. Hatakeyama S. Noma SN. Burmistrov T. Satoh (2002) J Low Temp Phys. 127 81 Occurrence Handle1:CAS:528:DC%2BD38XjtlGnu7Y%3D
DW. Oxtoby (1992) J Phys Condens Matter 4 7627 Occurrence Handle10.1088/0953-8984/4/38/001
F. Ancilotto M. Barranco M. Pi (2003) Phys Rev Lett. 91 105302 Occurrence Handle14525486
F. Ancilotto F. Toigo (1994) Phys Rev B. 50 12 820 Occurrence Handle1:CAS:528:DyaK2MXitVymsbc%3D
J. Dupont-Roc M. Himbert N. Pavloff J. Treiner (1990) J Low Temp Phys. 81 31 Occurrence Handle1:CAS:528:DyaK3cXmtlyju7Y%3D
NR. Kestner J. Jortner MH. Cohen SA. Rice (1965) Phys Rev. 140 A56
F. Dalfovo (1994) Z Phys D 29 61 Occurrence Handle1:CAS:528:DyaK2cXhsVCltbY%3D
Sommer WT., Phys. Rev. Lett. 12, 271 (1964); M.A. Woolf and Rayfield GW., ibid. 15, 235 (1965).
HJ. Maris (1995) J Low Temp Phys. 98 403 Occurrence Handle1:CAS:528:DyaK2MXksVCksb4%3D
Cheng E., Cole MW., Cohen MH., Phys. Rev. B 50, 1136 (1994); Erratum ibid. 50, 16 134 (1994).
Stringari S., Treiner J. J. Chem. Phys. 87, 5021 (1987); Phys. Rev. B 36, 8369 (1987).
WH. Press SA. Teulosky WT. Vetterling BP. Flannery (1999) Numerical Recipes in Fortran 77: The, Art of Scientific Computing Cambridge University Press Cambridge
Bickley WG., Math. Gaz. 25, 19 (1941); M. Abramowitz and Stegun IA., Handbook of Mathematical Functions Dover, New York, (1965).
DM. Jezek M. Guilleumas M. Pi M. Barranco (1997) Phys Rev B 55 11092 Occurrence Handle1:CAS:528:DyaK2sXjtFylsb4%3D
M. Guilleumas M. Barranco DM. Jezek RJ. Lombard M. Pi (1997) Phys Rev B 55 11092 Occurrence Handle1:CAS:528:DyaK2sXjtFylsb4%3D
Guilleumas M., Ph. D. Thesis, University of Barcelona (1995), unpublished.
M. Iino M. Suzuki AJ. Ikushima Y. Okuda (1985) J Low Temp Phys. 59 291 Occurrence Handle1:CAS:528:DyaL2MXksVeisrg%3D
M. Rosenblit J. Jortner (1995) Phys Rev Lett. 75 4079 Occurrence Handle1:CAS:528:DyaK2MXpsFKksL4%3D Occurrence Handle10059809
M. Barranco M. Pi A. Polls X. Viñas (1990) J Low Temp Phys. 80 77 Occurrence Handle1:CAS:528:DyaK3cXltlyksLs%3D
F. Caupin S. Balibar HJ. Maris (2002) J Low Temp Phys. 126 91 Occurrence Handle10.1023/A:1013718917961 Occurrence Handle1:CAS:528:DC%2BD38XhvF2gsLY%3D
J. Tempere IF. Silvera JT. Devreese (2003) Phys Rev B 67 035402
J. Classen C.-K. Su M. Mohazzab HJ. Maris (1998) J Low Temp Phys. 110 431 Occurrence Handle1:CAS:528:DyaK1cXmt1Wjtg%3D%3D
C.C. Grimes G. Adams (1990) Phys Rev B 41 6366 Occurrence Handle1:CAS:528:DyaK3cXit1Grsbk%3D
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Pi, M., Barranco, M., Mayol, R. et al. Cavitation of Electron Bubbles in Liquid Helium Below Saturation Pressure. J Low Temp Phys 139, 397–417 (2005). https://doi.org/10.1007/s10909-005-4730-5
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DOI: https://doi.org/10.1007/s10909-005-4730-5