4He Confined in 0.0483 μm Planar Geometry, Specific Heat and Scaling Near Tλ

Journal of Low Temperature Physics

Volumn 113, Issue 3-4, 1998, Pages 435-440

  Mehta, Sarabjit ^a   Kimball, Mark O ^a   Gasparini, Francis M ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PHASE TRANSITIONS; SILICON WAFERS; SPECIFIC HEAT; STATISTICAL MECHANICS; THERMODYNAMICS; TWO DIMENSIONAL;

FINITE SIZE SCALING; HELIUM 4; HELIUM CONFINEMENT;

SUPERFLUID HELIUM;

EID: 0032205042     PISSN: 00222291     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1022595927244     Document Type: Article

References (24)

1. M.E. Fisher in Critical Phenomena, Proc. 51st "Enrico Fermi" Summer School, Varenna, Italy, ed. M.S. Green (Academic Press, NY, 1971); M. E. Fisher and M. N. Barber Phys. Rev Lett. 28, 1516 (1972). For a review of finite- size scaling see M.N. Barber in Phase Transitions and Critical Phenomena, C. Domb and J.L. Lebowitz Vol. 8 (Academic Pres, NY, 1983); V. Privman in Finite Size Scaling and Numerical Simulations of Statistical Systems, ed. V. Privman (World Scientific, NJ, 1990). For a review in the case of helium at the superfluid transition (up to 1991), see F.M. Gasparini and I. Rhee in Progress in Low Temperature Physics, Vol. XIII, ed. D.F. Brewer (North Holland, NY, 1992).
2. M.E. Fisher in Critical Phenomena, Proc. 51st "Enrico Fermi" Summer School, Varenna, Italy, ed. M.S. Green (Academic Press, NY, 1971); M. E. Fisher and M. N. Barber Phys. Rev Lett. 28, 1516 (1972). For a review of finite- size scaling see M.N. Barber in Phase Transitions and Critical Phenomena, C. Domb and J.L. Lebowitz Vol. 8 (Academic Pres, NY, 1983); V. Privman in Finite Size Scaling and Numerical Simulations of Statistical Systems, ed. V. Privman (World Scientific, NJ, 1990). For a review in the case of helium at the superfluid transition (up to 1991), see F.M. Gasparini and I. Rhee in Progress in Low Temperature Physics, Vol. XIII, ed. D.F. Brewer (North Holland, NY, 1992).
3. M.E. Fisher in Critical Phenomena, Proc. 51st "Enrico Fermi" Summer School, Varenna, Italy, ed. M.S. Green (Academic Press, NY, 1971); M. E. Fisher and M. N. Barber Phys. Rev Lett. 28, 1516 (1972). For a review of finite- size scaling see M.N. Barber in Phase Transitions and Critical Phenomena, C. Domb and J.L. Lebowitz Vol. 8 (Academic Pres, NY, 1983); V. Privman in Finite Size Scaling and Numerical Simulations of Statistical Systems, ed. V. Privman (World Scientific, NJ, 1990). For a review in the case of helium at the superfluid transition (up to 1991), see F.M. Gasparini and I. Rhee in Progress in Low Temperature Physics, Vol. XIII, ed. D.F. Brewer (North Holland, NY, 1992).
4. M.E. Fisher in Critical Phenomena, Proc. 51st "Enrico Fermi" Summer School, Varenna, Italy, ed. M.S. Green (Academic Press, NY, 1971); M. E. Fisher and M. N. Barber Phys. Rev Lett. 28, 1516 (1972). For a review of finite- size scaling see M.N. Barber in Phase Transitions and Critical Phenomena, C. Domb and J.L. Lebowitz Vol. 8 (Academic Pres, NY, 1983); V. Privman in Finite Size Scaling and Numerical Simulations of Statistical Systems, ed. V. Privman (World Scientific, NJ, 1990). For a review in the case of helium at the superfluid transition (up to 1991), see F.M. Gasparini and I. Rhee in Progress in Low Temperature Physics, Vol. XIII, ed. D.F. Brewer (North Holland, NY, 1992).
5. M.E. Fisher in Critical Phenomena, Proc. 51st "Enrico Fermi" Summer School, Varenna, Italy, ed. M.S. Green (Academic Press, NY, 1971); M. E. Fisher and M. N. Barber Phys. Rev Lett. 28, 1516 (1972). For a review of finite- size scaling see M.N. Barber in Phase Transitions and Critical Phenomena, C. Domb and J.L. Lebowitz Vol. 8 (Academic Pres, NY, 1983); V. Privman in Finite Size Scaling and Numerical Simulations of Statistical Systems, ed. V. Privman (World Scientific, NJ, 1990). For a review in the case of helium at the superfluid transition (up to 1991), see F.M. Gasparini and I. Rhee in Progress in Low Temperature Physics, Vol. XIII, ed. D.F. Brewer (North Holland, NY, 1992).
6. S. Mehta and F.M. Gasparini, Phys. Rev. Lett. 78, 2596 (1997).
7. S. Mehta and F.M. Gasparini, J. Low Temp. Phys.Vol 110, Nos.1/2, 287 (1998).
8. S. Mehta, M.O. Kimball and F.M. Gasparini to be published.
9. I. Rhee, D.J. Bishop, A. Petrou, and F.M. Gasparini, Rev. Sci. Inst. 61, 1528(1990); S. Mehta, W.Y. Wu, A. Petrou, J. Lipa, D. Bishop, and F.M. Gasparini, Czech. J. Phys. 46, 133 (1996).
10. I. Rhee, D.J. Bishop, A. Petrou, and F.M. Gasparini, Rev. Sci. Inst. 61, 1528(1990); S. Mehta, W.Y. Wu, A. Petrou, J. Lipa, D. Bishop, and F.M. Gasparini, Czech. J. Phys. 46, 133 (1996).
11. F.M. Gasparini and S. Mehta J. Low Temp. Phys. Vol. 110, Nos.1/2, 293 (1998).
12. G. Ahlers, Phys. Rev. A3, 696 (1971); F.M. Gasparini and M. Moldover, Phys. Rev. B 12, 93 (1975); F.M. Gasparini and A.A. Gaeta, Phys. Rev. B 17, 1466 (1978); T.P. Chen, Ph.D. thesis (State University of New York at Buffalo, 1978); J.A. Lipa and T.C.P. Chui, Phys. Rev. Lett. 51, 2291(1983), and data release 1/15/84.
13. G. Ahlers, Phys. Rev. A3, 696 (1971); F.M. Gasparini and M. Moldover, Phys. Rev. B 12, 93 (1975); F.M. Gasparini and A.A. Gaeta, Phys. Rev. B 17, 1466 (1978); T.P. Chen, Ph.D. thesis (State University of New York at Buffalo, 1978); J.A. Lipa and T.C.P. Chui, Phys. Rev. Lett. 51, 2291(1983), and data release 1/15/84.
14. G. Ahlers, Phys. Rev. A3, 696 (1971); F.M. Gasparini and M. Moldover, Phys. Rev. B 12, 93 (1975); F.M. Gasparini and A.A. Gaeta, Phys. Rev. B 17, 1466 (1978); T.P. Chen, Ph.D. thesis (State University of New York at Buffalo, 1978); J.A. Lipa and T.C.P. Chui, Phys. Rev. Lett. 51, 2291(1983), and data release 1/15/84.
15. G. Ahlers, Phys. Rev. A3, 696 (1971); F.M. Gasparini and M. Moldover, Phys. Rev. B 12, 93 (1975); F.M. Gasparini and A.A. Gaeta, Phys. Rev. B 17, 1466 (1978); T.P. Chen, Ph.D. thesis (State University of New York at Buffalo, 1978); J.A. Lipa and T.C.P. Chui, Phys. Rev. Lett. 51, 2291(1983), and data release 1/15/84.
16. G. Ahlers, Phys. Rev. A3, 696 (1971); F.M. Gasparini and M. Moldover, Phys. Rev. B 12, 93 (1975); F.M. Gasparini and A.A. Gaeta, Phys. Rev. B 17, 1466 (1978); T.P. Chen, Ph.D. thesis (State University of New York at Buffalo, 1978); J.A. Lipa and T.C.P. Chui, Phys. Rev. Lett. 51, 2291(1983), and data release 1/15/84.
17. J.M. Kosterlitz and D.J. Thouless, J. Physics C 6, 1181 (1973); and J.M. Kosterlitz, J. Physics C 7, 1046 (1974).
18. J.M. Kosterlitz and D.J. Thouless, J. Physics C 6, 1181 (1973); and J.M. Kosterlitz, J. Physics C 7, 1046 (1974).
19. For v we used results from L. S. Goldner and G. Ahlers, Phys. Rev. B 45 13129 (1992)); α is obtained using scaling.
20. λ, however, the overall temperature dependance is obtained by the combination of data listed in Ref. 7.
21. R. Schmölke, A. Wacker, V. Dohm and D. Frank, Physics B 165-166, 575 (1990). See also, V. Dohm, Physica Scripta Vol. T49, 46-58 (1993).
22. R. Schmölke, A. Wacker, V. Dohm and D. Frank, Physics B 165-166, 575 (1990). See also, V. Dohm, Physica Scripta Vol. T49, 46-58 (1993).
23. F. M. Gasparini, T.-P. Chen and B. K. Bhattacharryya Phys. Rev. B 23, 5797, 1981.
24. T.-P. Chen and F.M. Gasparini, Phys. Rev. Lett. 40, 331(1978).