Basic superfluids, 1st Edition by Tony Guenault

By Tony Guenault

The writer describes superfluidity because the jewel within the crown of low temperature physics. At low adequate temperatures, each substance in thermal equilibrium needs to turn into ordered. considering that a few fabrics stay fluid to the bottom temperatures, it's a interesting query as to how this ordering can happen. The ebook assumes a few simple wisdom of quantum, statistical and thermal physics, and builds in this history to provide a readable advent to the 3 superfluids of low temperature physics. The publication emphasizes actual ideas instead of technical aspect, with the purpose of introducing the topic in an available but authoritative approach to ultimate yr undergraduates or beginning graduate scholars.

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First, consider the velocity field near the line. Using the cylindrical symmetry of a single isolated line, we can see how the velocity varies with radius from the core. e. the integer n is +1(or −1). 5. Thus υ(r) = $/(m4r). The velocity field around a vortex is proportional to 1/r, in marked contrast to solid body rotation for which υ(r) is directly proportional to r. This result in itself points out the necessity for something different to happen to the wave function near r = 0. 11. At the core radius a0, the superfluid density C2 must fall away, to become zero at the centre of the core.

As in most substances, a definitive knowledge of the dispersion relation allows us to understand a wide variety of measurements. For example, in a metal or semiconductor, knowledge of the band structure (the dispersion relation for electrons) leads to a compact understanding of many different properties. So here, the dispersion relation is a key feature. We have already seen that the somewhat bizarre shape explains why helium becomes a superfluid with a non-zero critical velocity, the Landau velocity.

3 Quantised vortex lines Anyone who has let bath water out or who has experienced a tornado has seen a swirling vortex of fluid. So it is reasonable to wonder if such singular rotational events can occur in superfluid helium. And the answer is “yes”. The characteristic of a vortex line is that it consists of a core (for example a hole in the bath water) surrounded by circulating fluid. In superfluid 4 He, so long as there is a singular core in the fluid, the arguments of the previous section apply.

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