Critical exponent: Difference between revisions

scalar field
(anisotropic systems)
(scalar field)
Thus, the exponents above and below the critical temperature, repectively, have identical values. This is understandable, since the respective scaling functions, <math> f_\pm(k\xi ,\dots)</math>, originally defined for <math>k\xi \ll 1</math>, should become identical if extrapolated to <math> k\xi \gg 1\,.</math>
 
The classical ([[Landau theory]] aka [[mean field theory]]) values for a scalar field are
 
:<math>\alpha = \alpha^\prime = 0</math>