Generalizations of BCS theory for conventional superconductors form the basis for understanding of the phenomenon of superfluidity, because they fall into the lambda transition universality class.
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The most accurately measured value of \ alpha is & minus; 0.0127 ( 3 ) for the phase transition of superfluid helium ( the so-called lambda transition ).
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Before Wilson's RG approach, there was an astonishing empirical fact to explain : the coincidence of the critical exponents ( i . e ., the exponents of the reduced-temperature dependence of several quantities near a second order phase transition ) in very disparate phenomena, such as magnetic systems, superfluid transition ( Lambda transition ), alloy physics, etc . Thus, in general, thermodynamic features of a system near a phase transition " depend only on a small number of variables ", such as dimensionality and symmetry, but are insensitive to details of the underlying microscopic properties of the system.
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