The thermal conductivity of and convective onset in liquid3He at saturated vapor pressure above 1.3 K

How heat propagates in liquid 3He

“…4 a). Despite the imperfect agreement (unsurprising given the change in the molar volume at SVP), one can see that Murphy and Meyer 31 roughly confirm Greywall’s observation about the asymptotic tendency of thermal conductivity: κ ∝ T 1/2 . This temperature dependence is distinct from what is known to occur in different regimes of phonon thermal conductivity in crystals and glasses (see Table 1 ) and also from the Bridgman formula ( κ B = r k B n 2/3 v s ) 25 , 32 – 34 for classical liquids, which does not contain any temperature dependence.…”

“…Let us recall that in the case of the S.V.P. data by Murphy and Meyer 31 , particle density is not constant and decreases with warming. Moreover, the effective mass also changes with temperature.…”

“…Figure 4 a shows the temperature dependence of κ / T in normal liquid 3 He. It includes Greywall’s data at T < 1 K 17 , measured at the constant molar volume of 36.68 cm 3 /mol (corresponding to zero pressure in the low-temperature limit) and the data reported by Murphy and Meyer 31 , measured at saturating vapor pressure (SVP) above 1.2 K (Fig. 4 a).…”

“… a Thermal conductivity is divided by temperature as reported by Greywall 17 (at zero pressure) and by Murphy and Meyer 31 (at saturated vapor pressure). At very low temperatures ( T ~ 0.01 K) in the Fermi liquid regime, κ / T ∝ T −2 (purple line).…”

Thermal conductivity of helium-3 between 3 mK and 300 K

“…The uncertainty of his measurements has an order of magnitude lower than any of the previous ones. Most recently, Mitchell et al [15] and Murphy and Meyer [16] reported more experimental data below 0.01 K within uncertainties of ±2%, and from 1.3 to 3.2 K on the saturation line within ±1%, respectively. The related studies are listed in TABLE 1 for a clear view.…”