Abstract:
A system with the cubic anisotropy of fourth order vertices is studied for the case of
a model admitting exact calculation of the partition sum. It is shown that at certain
relationship between the free energy functional parameters the phase transition in
this system becomes discontinuous whereas the mean field theory predicts the second
order phase transition. The result obtained agrees with the similar predictions of the
fluctuations theory.
Citation:
Yu. M. Ivanchenko, A. A. Lisyanskii, A. E. Filippov, “Fluctuation-induced phase transition of the first kind in an exactly solvable model”, TMF, 72:1 (1987), 149–154; Theoret. and Math. Phys., 72:1 (1987), 786–790