Abstract
We present a study of phase separation from supersaturated 3 He- 4 He liquid mixtures at low temperatures addressing both the degree of critical supersaturation Δxcr and the thermal-to-quantum crossover temperature T* for the nucleation process. Two different nucleation seeds are investigated, namely 3 He droplets and 4 He vortex lines with cores filled with 3 He. We have found that the experimental T* is reproduced when we consider that nucleation proceeds from 3 He droplets, whereas Δxcr is reproduced when we consider 4 He vortex lines filled with 3 He. However, neither nucleation configuration is able to simultaneously reproduce the current experimental information on Δxcr and T*.
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REFERENCES
J. Landau, J. T. Tough, N. R. Brubaker, and D. O. Edwards, Phys. Rev. Lett. 23, 283 (1969).
G. E. Watson, J. D. Reppy, and R. C. Richardson, Phys. Rev. 188, 384 (1969).
T. Satoh, M. Morishita, M. Ogata, A. Savada, and T. Kuroda, Physica B 169, 513 (1991).
V. A. Mikheev, E. Ya. Rudavskii, V. K. Chagovets, and G. A. Sheshin, Sov. J. Low Temp. Phys. 17, 233 (1991).
T. Satoh, M. Morishita, M. Ogata and S. Katoh, Phys. Rev. Lett. 69, 335 (1992).
V. A. Maidanov, V. A. Mikheev, N. P. Mikhin, N. F. Omelaenko, E. Ya. Rudavskii, V. K. Chagovets, and G. A. Sheshin, Sov. J. Low Temp. Phys. 18, 663 (1992).
V. A. Mikheev, E. Ya. Rudavskii, V. K. Chagovets, and G. A. Sheshin, Low Temp. Phys. 20, 485 (1994).
T. Satoh, M. Morishita, S. Katoh, K. Hatakeyama, and M. Takashima, Physica B 197, 397 (1994).
V. Chagovets, I. Usherov-Marshak, G. Sheshin, and E. Ya. Rudavskii, J. Low Temp. Phys. 110, 479 (1998).
I. M. Lifshitz, V. N. Polesskii, and V. A. Khokhlov, Sov. Phys. JETP 47, 137 (1978).
I. M. Lifshitz and Yu. Kagan, Sov. Phys. JETP 35 206 (1972).
P. Seligmann, D. O. Edwards, R. E. Sarwinski, and J. T. Tough, Phys. Rev. 181, 415 (1969).
E. Krotscheck and M. Saarela, Phys. Rep. 232, 1 (1993).
M. Guilleumas, D. M. Jezek, M. Pi, M. Barranco, and J. Navarro, Phys. Rev. B 51, 1140 (1995).
D. M. Jezek, M. Guilleumas, M. Pi, and M. Barranco, Phys. Rev. B 51, 11981 (1995).
D. M. Jezek, M. Guilleumas, M. Pi, and M. Barranco, Phys. Rev. B 55, 11092 (1997).
D. M. Jezek, M. Pi, M. Barranco, R. J. Lombard, and M. Guilleumas, J. Low Temp. Phys. 112, 303 (1998).
S. N. Burmistrov and T. Satoh, Proceedings of the 21st Int. Conf. on Low Temp. Phys., Prague, August 8–14, 1996, Czech J. Phys. 46, S1, 196 (1996).
S. N. Burmistrov, L. B. Dubovskii, and T. Satoh, J. Low Temp. Phys. 110, 479 (1998).
V. Chagovets, E. Ya. Rudavskii, G. A. Sheshin, and I. Usherov-Marshak, J. Low Temp. Phys. 113, 1005 (1998).
M. Guilleumas, M. Barranco, D. M. Jezek, R. J. Lombard, and M. Pi, Phys. Rev. B 54, 16135 (1996).
C. Ebner and D. O. Edwards, Phys. Rep. 2, 77 (1970).
E. M. Chudnovsky, Phys. Rev. A 46, 8011 (1992).
R. P. Feynman, Statistical Mechanics (Benjamin, New York, 1972).
J. S. Langer, Ann. Phys. (N.Y.) 41, 108 (1967).
S. Coleman, Phys. Rev. D 15, 2929 (1977).
C. G. Callan and S. Coleman, Phys. Rev. D 16, 1762 (1977).
A. Galindo and P. Pascual, Quantum Mechanics, Springer-Verlag, Berlin (1990)
V. I. Goldanskii, Sov. Phys. Dokl. 4, 74 (1959).
Q. Xiong and H. J. Maris, J. Low Temp. Phys. 77, 347 (1989).
D. W. Oxtoby, J. Phys. Cond. Matter 4, 7627 (1992).
D. M. Jezek, M. Guilleumas, M. Pi, and M. Barranco, Europhys. Lett. 38, 601 (1997).
S. N. Burmistrov, L. B. Dubovskii, and V. L. Tsymbalenko, J. Low Temp. Phys. 90, 363 (1993).
M. S. Pettersen, S. Balibar, and H. J. Maris, Phys. Rev. B 49, 12062 (1994).
H. Lambaré, P. Roche, S. Balibar, H. J. Maris, O. A. Andreeva, C. Guthmann, K. O. Keshishev, and E. Rolley, Eur. Phys. J. B 2, 381 (1998).
F. Caupin, P. Roche, S. Marchand, and S. Balibar, J. Low Temp. Phys. 113, 473 (1998).
H. J. Maris, J. Low Temp. Phys. 98, 403 (1995).
A. Sato, K. Ohishi, and M. Suzuki, J. Low Temp. Phys. 107, 165 (1997).
E. C. Kerr and R. D. Taylor, Ann. Phys. (N.Y.) 20, 450 (1962).
A. H. Blin, B. Hiller, H. Reinhardt, and P. Schuck, Nucl. Phys. A 484, 295 (1988).
M. Guilleumas, M. Barranco, D. M. Jezek, R. J. Lombard, and M. Pi, Proceedings of the 21st Int. Conf. on Low Temp. Phys., Prague, August 8–14, 1996, Czech J. Phys. 46, S1, 389 (1996).
M. Barranco, M. Pi, S. M. Gatica, E. S. Hernández, and J. Navarro, Phys. Rev. B 56, 8997 (1997).
D. D. Awschalom and K. W. Schwarz, Phys. Rev. Lett. 52, 49 (1984).
P. Ring and P. Schuck, The Nuclear Many-Body Problem, Springer-Verlag, New York (1980).
H. Reinhardt, Nucl. Phys. A 367, 269 (1981).
H. Krivine, J. Treiner, and O. Bohigas, Nucl. Phys. A 336, 155 (1980).
I. M. Khalatnikov, Introduction to the Theory of Superfluidity, Benjamin, New York (1965).
F. Dalfovo, Ph.D. thesis, University of Trento, 1989.
Y. M. Engel, D. M. Brink, K. Goeke, S. J. Krieger, and D. Vautherin, Nucl. Phys. A 249, 215 (1975).
M. Guilleumas, M. Pi, M. Barranco, and E. Suraud, Z. Phys. D 34, 35 (1995).
Jizhong He, T. G. Culman, H. H. Hjort, and D. O. Edwards, J. Low Temp. Phys. 113, 987 (1998).
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Barranco, M., Guilleumas, M., Jezek, D.M. et al. Nucleation in Dilute 3He-4He Liquid Mixtures at Low Temperatures. Journal of Low Temperature Physics 117, 81–100 (1999). https://doi.org/10.1023/A:1021813922675
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DOI: https://doi.org/10.1023/A:1021813922675