Abstract
We calculate the observable critical temperature dependence of the transport coefficients entering the hydrodynamic form of the dynamic structure factor of4He belowT λ. Application of our recently introduced nonlinear renormalization-group analysis yields quantitative agreement with previous light scattering experiments in the hydrodynamic region. This resolves a long-standing problem in the critical dynamics below the superfluid transition of4He.
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Dominicis, C. De, Peliti, L.: Phys. Rev. Lett.38, 505 (1977); Phys. Rev. B18, 353 (1978)
Dohm, V., Ferrell, R.A.: Phys. Lett.67A, 387 (1978)
Dohm, V.: Z. Phys. B—Condensed Matter31, 327 (1978)
Ferrell, R.A., Dohm, V., Bhattacharjee, J.K.: Phys. Rev. Lett.41, 1818 (1978)
Ferrell, R.A., Bhattacharjee, J.K.: J. Low Temp. Phys.36, 165 (1979)
Dohm, V.: Z. Phys. B—Condensed Matter33, 79 (1979)
Ferrell, R.A., Bhattacharjee, J.K.: Phys. Rev. Lett.42, 1638 (1979)
Ferrell, R.A., Bhattacharjee, J.K.: Phys. RevB20, 3690 (1979)
Ferrell, R.A., Bhattacharjee, J.K.: In: Proceedings of the International Conference on Dynamic Critical Phenomena. Enz, C.P. (ed.). Berlin, Heidelberg, New York: Springer 1979
Ferrell, R.A., Bhattacharjee, J.K.: In: Light Scattering in Solids. Birman, J.L., Cummins, H.Z., Rebane, K.K. (eds.), New York: Plenum Press 1979
Bhattacharjee, J.K.: Thesis, University of Maryland (1979)
Dohm, V., Folk, R.: Z. Phys. B—Condensed Matter35, 277 (1979) Z. Phys. B—Condensed Matter39, 94 (1980)
Dohm, V., Folk, R.: Phys. Rev. Lett.46, 349 (1981)
Hohenberg, P.C., Halperin, B.I., Nelson, D.R.: Phys. Rev.B22, 2373 (1980)
Dohm, V., Folk, R.: Z. Phys. B—Condensed Matter40, 79 (1980)
Halperin, B.I., Hohenberg, P.C., Siggia, E.D.: Phys. Rev.B13, 1299 (1976);B21 (E), 2044 (1980)
Siggia, E.D.: Phys. Rev.B 13, 3218 (1976)
Hohenberg, P.C., Siggia, E.D., Halperin, B.I.: Phys. Rev.B14, 2865 (1976)
Ahlers, G.: Phys. Rev. Lett.21, 1159 (1968)
Ahlers, G.: In: Proceedings of the Twelfth International Conference on Low Temperature Physics. Kanda, E. (ed.), p. 21. Tokyo: Academic Press 1971
Kerrisk, J.F., Keller, W.E.: Phys. Rev.177, 341 (1969)
Bowers, R.: Proc. Phys. Soc. (London), Sect.A65, 511 (1952)
Ahlers, G.: Phys. Rev. Lett.43, 1417 (1979)
Hanson, W.B., Pellam, J.R.: Phys. Rev.95, 321 (1954)
Tarvin, J.A., Vidal, F., Greytak, T.J.: Phys. Rev.B15, 4193 (1977)
Winterling, G., Holmes, F.S., Greytak, T.J.: Phys. Rev. Lett.30, 427 (1973)
Vinen, W.F., Hurd, D.L.: Adv. Phys.27, 533 (1978); Vinen, W.F., Palin, C.J., Lumley, J.M., Hurd, D.L., Vaughan, J.M.: Low Temperature Physics, LT-14. Krusius, M., Vuorio, M. (eds.), Vol. I, p. 191. Amsterdam: North-Holland 1975
For a treatment including the more complicated critical region belowT λ see: Dominicis, C. De, Dohm, V.: (in preparation)
See e.g. Stephen, M.J.: In: The physics of liquid and solid helium. Bennemann, K.H., Ketterson, J.B. (eds.), Vol. I, Chap. 4. New York: Wiley 1976
Ferrell, R.A., Menyhard, N., Schmidt, H., Schwabl, F., Szépfalusy, P.: Phys. Rev. Lett.18, 891 (1967); Ann. Phys. (NY)47, 565 (1968)
Tyson, J.A.: Phys. Rev. Lett.21, 1235 (1968)
Greytak, T.J.: In: Proceedings of the International Conference on Dynamic Critical Phenomena. Enz, C.P. (ed.). Berlin, Heidelberg, New York: Springer 1979
Rudnick, J., Nelson, D.R.: Phys. Rev.B13, 2208 (1976)
Ahlers, G.: In: The physics of liquid and solid helium. Bennemann K.H., Ketterson, J.B. (eds.), Vol. I, Chap. 2. New York: Wiley 1976
Ahlers, G.: Rev. Mod. Phys.52, 489 (1980)
Ahlers, G.: Phys. Rev.A8, 530 (1973)
Hohenberg, P.C., Aharony, A., Halperin, B.I., Siggia, E.D.: Phys. Rev.B13, 2986 (1976)
See e.g. Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)
De Dominicis, C., Dohm, V.: unpublished (1979)
Archibald, M., Mochel, J.M., Weaver, L.: Phys. Rev. Lett.21, 1165 (1968)
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Dohm, V., Folk, R. Nonlinear renormalization-group analysis applied to the hydrodynamic light scattering spectrum of4He belowT λ . Z. Physik B - Condensed Matter 41, 251–258 (1981). https://doi.org/10.1007/BF01294431
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DOI: https://doi.org/10.1007/BF01294431