The diffusive thermal conductivity κ(t) of superfluid 3He-B is calculated in the s-p-d-wave approximation by solving the Boltzmann equation for the Bogoliubov-Valatin quasiparticles variationally. A new set of Landau para- meters calculated from recent heat capacity data as well as old ones given in Wheatley's review are used to estimate the scattering amplitudes of the collision integral. Landau parameters F 2 s, F 1 a, and F 2 a are treated as free parameters under the constraint that κexact(T c) = κexp(T c), where κexact and κexp are the exact theoretical value and the experimental value, respectively. We have varied F 2 s, F 1 a, and F 2 a over a wide range % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaai4Eaiabgk% HiTiaaigdacaaIWaGaeyizImQaaeyqamaaDaaaleaacaqGXaaabaGa% ae4CaiaabYcacaqGHbaaaOGaeyyyIORaaeOramaaDaaaleaacaqGXa% aabaGaae4CaiaabYcacaqGHbaaaOGaai4laiaacUfacaaIXaGaey4k% aSIaaeOramaaDaaaleaacaqGXaaabaGaae4CaiaabYcacaqGHbaaaO% Gaai4laiaacIcacaaIYaGaamiBaiabgUcaRiaaigdacaGGPaGaaiyx% aiabgsMiJkaaigdacaaIWaGaaiyFaaaa!570F!\[\{ - 10 \leqslant {\text{A}}_{\text{1}}^{{\text{s,a}}} \equiv {\text{F}}_{\text{1}}^{{\text{s,a}}} /[1 + {\text{F}}_{\text{1}}^{{\text{s,a}}} /(2l + 1)] \leqslant 10\} \] and found the possible range of the reduced diffusive thermal conductivity % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafqOUdSMbaG% aacaGGOaGaaeivaiaabMcacaqG9aGaeqOUdSMaaeikaiaabsfacaqG% PaGaaeivaiaab+cacqaH6oWAcaGGOaGaaeivamaaBaaaleaacaqGJb% aabeaakiaacMcacaqGubWaaSbaaSqaaiaabogaaeqaaaaa!46ED!\[\tilde \kappa ({\text{T) = }}\kappa {\text{(T)T/}}\kappa ({\text{T}}_{\text{c}} ){\text{T}}_{\text{c}} \]. The behavior of \~κ(T) in the s-p-d-wave approximation does not much depend on the values of the Landau parameters, and \~κ(t) decreases monotonically with decreasing tem- perature.
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References
P. Wölfle, in Progress in Low Temperature Physics, D. F. Brewer, ed. (North-Holland, Amsterdam, 1978), Vol. VIIA, Chapter 3, p. 191.
J. C. Wheatley, Rev. Mod. Phys. 47, 415 (1975).
J. C. Wheatley, in Progress in Low Temperature Physics, D. F. Brewer, ed. (North-Holland, Amsterdam, 1978), Vol. VIIA, Chapter 1, p. 1.
T. Soda and K. Fujika, Prog. Theor. Phys. 52, 1405 (1974); 53, 1218 (1975) (Erratum).
B. T. Ge\>ilikman and V. R. Chechetkin, Zh. Eksp. Teor. Fiz. 69, 286 (1975) [Sov. Phys.—JETP 42, 148 (1976)].
C. J. Pethick, H. Smith, and P. Bhattacharyya, Phys. Rev. Lett. 34, 643 (1975).
C. J. Pethick, H. Smith, and P. Bhattacharyya, Phys. Rev. B 15, 3384 (1977).
P. Wölfle and D. Einzel, J. Low Temp. Phys. 32, 39 (1978).
D. Einzel and P. Wölfle, J. Low Temp. Phys. 32, 19 (1978).
Y. A. Ono, J. Hara, K. Nagai, and K. Kawamura, J. Low Temp. Phys. 27, 513 (1977).
J. Hara, Y. A. Ono, K. Nagai, and K. Kawamura,J. Low Temp. Phys. 39, 603 (1980).
J. Hara and Y. A. Ono, to be published.
J. M. Parpia, D. J. Sandiford, J. E. Berthold, and J. D. Reppy, Phys. Rev. Lett. 40, 565 (1978).
J. D. Reppy, in Proc. ULT Hakoné International Symposium (The Physical Society of Japan, Tokyo, 1978), p. 89.
J. M. Parpia, D. J. Sandifold, J. E. Berthold, and J. D. Reppy, J. Phys. (Paris) 39 (Suppl. 8), C6–35 (1978).
T. A. Alvesalo, C. N. Archie, A. J. Albrecht, J. D. Reppy, and R. C. Richardson, J. Phys. (Paris) 39 (Suppl. 8), C6–41 (1978).
H. HØjgaard Jensen, H. Smith, and J. W. Wilkins, Phys. Lett. 27A, 532 (1968); Phys. Rev. 185, 323 (1969).
G. A. Brooker and J. Sykes, Phys. Rev. Lett. 21, 279 (1968).
J. Sykes and G. A. Brooker, Ann. Phys. (N.Y.) 56, 1 (1970).
T. A. Alvesalo, T. Haavasoja, M. T. Manninen, and A. T. Soinne, Phys. Rev. Lett. 44, 1076 (1980).
M. Dörfle, H. Brand, and R. Graham, J. Phys. C: Solid State Phys. 13, 3337 (1980).
J. Hara and K. Nagai, J. Low Temp. Phys. 34, 351 (1979).
R. Balian and N. R. Werthamer, Phys. Rev. 131, 1553 (1963).
A. A. Abrikosov and I. M. Khalatnikov, Rep. Prog. Phys. 22, 329 (1959); D. Pines and P. Nozières, The Theory of Quantum Liquids (Benjamin, New York, 1966), Vol. 1, Chapter 1.
J. M. Ziman, Electrons and Phonons (Clarendon Press, Oxford, 1960), Chapter 7, p. 275.
B. Mühlschlegel, Z. Phys. 155, 313 (1959).
Y. A. Ono, Prog. Theor. Phys. 60, 1 (1978).
P. Wölfle, Rep. Prog. Phys. 42, 269 (1979).
J. A. Sauls and J. W. Serene, preprint.
T. A. Alvesalo, T. Haavasoja, P. C. Main, M. T. Manninen, J. Ray, and Leila M. M. Rehn, Phys. Rev. Lett. 43, 1509 (1979).
E. K. Zeise, A. Ahonen, C. N. Archie, J. S. Denker, and R. C. Richardson, Bull. Am. Phys. Soc. 25, 497 (1980).
D. Einzel, private communication.
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Hara, J. Diffusive thermal conductivity of superfluid 3He-B. J Low Temp Phys 43, 533–548 (1981). https://doi.org/10.1007/BF00115614
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DOI: https://doi.org/10.1007/BF00115614