Critical exponent: Difference between revisions

Scaling functions
(convention)
(Scaling functions)
 
The most accurately measured value of <math>\alpha</math> is &minus;0.0127 for the phase transition of superfluid helium (the so-called [[lambda-transition]]). The value was measured in a satellite to minimize pressure differences in the sample ([http://xxx.arxiv.org/abs/cond-mat/0310163 see here]). This result agrees with theoretical prediction obtained by [[variational perturbation theory]] ([http://prola.aps.org/abstract/PRD/v60/i8/e085001 see here] or [http://www.physik.fu-berlin.de/~kleinert/kleiner_re279/seventh.html here]).
 
== Scaling functions ==
In light of the critical scalings, we can reexpress all thermodynamic quantities in terms of dimensionless quantities. Close enough to the critical point, everything can be reexpressed in terms of certain ratios of the powers of the reduced quantities. These are the scaling functions.
 
== Scaling relations ==