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Boris V. Vasiliev Supercondustivity Superfluidity

Superconductivity and

Superconductivity and Superfluidity It is in consistent with the measured value of the velocity of the first sound in helium, which has the maximum value of 238.3 m/s at T → 0 and decreases with increasing temperature up to about 220 m/s at T = T λ . The results obtained in this section are summarized for clarity in the Table 11.1. The measurement data in this table are mainly quoted by [55] and [57]. 114 Science Publishing Group

Chapter 11 Superfluidity as a Subsequence of Ordering of Zero-Point Oscillations Table 11.1 Comparison of the calculated values of liquid helium-4 with the measurement data. parameter defining formula calculated value measured value the velocity of zero-point oscillations of ̂v 0 = cα 3 116.5 helium atom The density of atoms √ in liquid n = M 4 α 2 2m e a 3 B m/s 2.172 · 10 22 helium atom/cm 3 The density of liquid helium-4 γ = M 4n 144.3 145 T ≃Tλ g/l The dielectric 1.048 T ≃4.2 √ ε−1 constant = 4π ε+2 3 α2 M 4 2m e 1.040 of liquid helium-4 1.057 T ≃Tλ The temperature T λ ≃ M 4c 2 α 6 3 2.177 2.172 λ-point,K The boiling temperature T boil ≃ 2T λ 4.35 4.21 of helium-4,K The first sound velocity, c s1 = 2 ̂v 0 233 238.3 T →0 m/s Science Publishing Group 115

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