Abstract
We present the results of computer simulations of the motion of an electron bubble through superfluid helium-4 when acted upon by an electric field. The simulations are based on an extended version of the Gross–Pitaevskii equation. The temperature is assumed to be sufficiently low for the drag exerted on the bubble by thermal excitations to be negligible, and the calculations are made for velocities below the critical velocitie for nucleation of vortices and roton production. We calculate the effective mass \(m*\) of the bubble and obtain results in excellent agreement with the measurements of Poitrenaud and Williams, and Ellis, McClintock, and Bowley.
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References
J. Eloranta, V.A. Apkarian, J. Chem. Phys. 117, 10139 (2002)
V. Grau, M. Barranco, R. Mayol, M. Pi, Phys. Rev. B 73, 064502 (2006)
C.C. Grimes, G. Adams, Phys. Rev. B 41, 6366 (1990)
C.C. Grimes, G. Adams, Phys. Rev. B 45, 2305 (1992)
C.L. Zipfel, T.M. Sanders, in Proceedings of 11th International Conference on Low Temperature Physics, ed. by J.F. Allen, D.M. Finlayson, D.M. McCall (St. Andrews University, St. Andrews, 1969), p. 296. C. Zipfel: PhD Thesis, University of Michigan (1969)
Y. Parshin, S.V. Pereverzev, JETP Lett. 52, 282 (1990)
Y. Parshin, S.V. Pereverzev, Sov. Phys. JETP 74, 68 (1992)
S. Pereversev, A.Y. Parshin, Phys. B 197, 347 (1994)
J. Poitrenaud, F.I.B. Williams, Phys. Rev. Lett. 29, 1230 (1972)
J. Poitrenaud, F.I.B. Williams, Phys. Rev. Lett. 32, 1213 (1974)
T. Ellis, P.V.E. McClintock, Phys. Rev. Lett. 48, 1834 (1982)
T. Ellis, P.V.E. McClintock, R.M. Bowley, J. Phys. C 16, L485 (1983)
P. Roche, G. Deville, N.J. Appleyard, F.I.B. Williams, J. Low Temp. Phys. 106, 565 (1997)
K.K. Lehmann, Phys. Rev. Lett. 88, 145301 (2002)
E.P. Gross, J. Math. Phys. 4, 195 (1963)
L.P. Pitaevskii, Sov. Phys. JETP 13, 451 (1960)
D. Jin, Ph.D Thesis, Brown University (2012), chapter 6
D. Jin, H.J. Maris, J. Low Temp. Phys. 158, 317 (2010)
B.M. Abraham, Y. Eckstein, J.B. Ketterson, M. Kuchnir, P.R. Roach, Phys. Rev. A 1, 250 (1970)
L.B. Lurio, T.A. Rabedeau, P.S. Pershan, I.F. Silvera, M. Deutsch, S.D. Kosowsky, B.M. Ocko, Phys. Rev. B 48, 9644 (1993)
A.L. Fetter, Vortices and ions in helium, in The Physics of Liquid and Solid Helium, Part 1, ed. by K.H. Bennemann, J.B. Ketterson (Wiley, New York, 1976), p. 207
E. Guyon, J.-P. Hulin, L. Petit, C.D. Mitescu, in Physical Hydrodynamics (Oxford University Press, Oxford, 2001), p. 226
J.S. Brooks, R.J. Donnelly, J. Phys. Chem. Ref. Data 6, 51 (1977)
D. Konstantinov, H.J. Maris, J. Low Temp. Phys. 121, 609 (2000)
Acknowledgments
We thank P. V. E. McClintock and F. I. B. Williams for helpful discussions. This work was supported by the US National Science Foundation through Grant No. GR5260053 and by the Julian Schwinger Foundation grant JSF-15-05-0000.
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Huang, Y., Maris, H.J. Effective Mass of an Electron Bubble in Superfluid Helium-4. J Low Temp Phys 186, 208–216 (2017). https://doi.org/10.1007/s10909-016-1669-7
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DOI: https://doi.org/10.1007/s10909-016-1669-7