Critical dynamics in the normal phase near the ?-transition in 3He-4He mixtures. II. Comparison with experiment

Abstract

We compare the experimental results for the temperature and concentration dependence of the thermal conductivity, the thermal diffuskm ratio and the mass diffusion near the ).-transition with the results of a nonsymptotic renormalization group calculation of these transport coefficients. Satisfactory agreement is obtained for the first two coefficients, but discrepancies remain for the mass diffusion.

Dynamic Critical Behavior Near the Superfluid Transition inH3e−H4Folk1, Moser2 2002Phys. Rev. Lett.Self Cite15010View full textAdd to dashboardCite

“…The situation in 3 He-4 He mixtures was less favorable although a lot of experimental results mostly by the group of Meyer are available (see references in [6]). Thus far, the critical dynamics has been treated [6] in a combination of a one loop model with static couplings to the secondary densities of entropy and concentration (model F 0 ) and the two loop terms without these couplings (model E 0 [7]).…”

“…We now present the two loop result for the functions in model F 0 (all parameters are renormalized ones, see [6]). …”

“…Thus far, the critical dynamics has been treated [6] in a combination of a one loop model with static couplings to the secondary densities of entropy and concentration (model F 0 ) and the two loop terms without these couplings (model E 0 [7]). This approximation was used for a comparison with the temperature dependence of the three transport coefficients-thermal conductivity, thermal diffusion ratio, and mass diffusion.…”

“…They also have been calculated in two loop order making use of the results for the integrals already found in model F [5]. The modification of the expressions for the transport coefficients by the two loop terms has already been indicated by a function P [6] and turn out to be numerically small contributions. The temperature dependence of the dynamical parameters is known from flow equations determined by the functions, Eqs.…”