Skip to main content
SpringerLink
Log in

A Beliaev Theory Incorporating a Semi-Phenomenological Roton Backflow Effect

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We have developed a Beliaev theory incorporating a semi-phenomenological roton backflow effect in order to examine the effect of the backflow on the Quantum Evaporation of atoms from the free surface of superfluid 4He. A theory of Quantum Evaporation based on a real-space Beliaev theory neglecting roton backflow was recently developed by Sobnack et al. [Phys. Rev. B 60, 3465 (1999)], and in this paper we discuss the extension of the theory to include the backflow physics from the Aldrich-Pines polarization potential theory of the 1970's. The calculation of the effect of the backflow on Quantum Evaporation is presented elsewhere.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. M.J. Baird, F.R. Hope and A.F.G. Wyatt, Nature 304, 325 (1983).

    Google Scholar 

  2. F.R. Hope, M.J. Baird and A.F.G. Wyatt, Phys. Rea. Lett. 52, 1528 (1984)

    Google Scholar 

  3. A.F.Andreev, Sov. Phys. JETP 19, 1228 (1964)

    Google Scholar 

  4. Y. Meir and N.S. Wingreen, Phys. Rev.Lett. 68, 2512 (1992)

    Google Scholar 

  5. S.T. Beliaev, Sou. Phys. JETP 7 289 (1958)

    Google Scholar 

  6. P.A. Mulheran and J.C. Inkson, Phys. Rev. B 46, 5454 (1992)

    Google Scholar 

  7. M.B. Sobnack, J.C.Inkson, and J.C.H. Fung, Phys. Rev.B 60, 3465 (1999)

    Google Scholar 

  8. R.P. Feynman and M. Cohen,Phys. Rev. 102, 1189 (1956)

    Google Scholar 

  9. R.P. Feynman, Phys. Rev. 94, 262 (1954)

    Google Scholar 

  10. C.H. Aldrich and D. Pines, J. Low. Temp. Phys. 25, 677 (1976)

    Google Scholar 

  11. M.B. Sobnack, J.R. Matthias, J.C.H. Fung, and J.C. Inkson, Physica B 284–8, 156 (2000)

    Google Scholar 

  12. N.Hugenholtz and D. Pines, Phys. Rev. 116, 489 (1959)

    Google Scholar 

  13. N.N. Bogoliubov, J. Phys.(USSR) 11, 23 (1947)

    Google Scholar 

  14. K.A. Brueckner and K.Sawada, Phys. Rev. 106, 1117 &1128 (1957).

    Google Scholar 

  15. A. Griffin, Excitations in a Bose Condensed liquid, (C.U.P.) (1994)

  16. J.R. Matthias, Ph.D. Thesis, University of Exeter(1998)

  17. P.C. Hohenberg and P.C. Martin, Phys.Rev. Lett. 12, 69 (1964)

    Google Scholar 

  18. J.R. Matthias, to be published.

Download references

Author information

Authors and Affiliations

  1. School of Physics, Exeter University, Exeter, EX4 4QL, United Kingdom

    J. R. Matthias & J. C. Inkson

  2. Department of Physics, Loughborough University, Loughborough, Leics, LE11 3TU, United Kingdom

    M. B. Sobnack

  3. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    J. C. H. Fung

Authors
  1. J. R. Matthias
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. B. Sobnack
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. C. Inkson
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. C. H. Fung
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matthias, J.R., Sobnack, M.B., Inkson, J.C. et al. A Beliaev Theory Incorporating a Semi-Phenomenological Roton Backflow Effect. Journal of Low Temperature Physics 121, 345–350 (2000). https://doi.org/10.1023/A:1017585226530

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1017585226530

Keywords

Search

Navigation