Simple renormalisation group method for calculating thermal equations of states
A O Caride; C Tsallis; A O Caride; Centre Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil; C Tsallis; Centre Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1987-07-11
Аннотация:
Renormalisation group (RG) techniques are currently used to derive relevant quantities in the vicinity of the critical point. The authors present a real space RG procedure which directly yields the order parameter for all values of the external parameters (e.g. temperature). It is as simple as a mean-field calculation, although it provides non-trivial results, which can be systematically improved. The method is successfully illustrated on the square lattice Potts ferromagnet. The whole approach suggests that the order parameter on a hierarchical lattice is, on every site, proportional to its coordination number.
369.3Кб