Volume 41, Number 6, March II 1998
|Page(s)||605 - 610|
|Published online||01 September 2002|
Critical behavior of coupled q-state Potts models under weak disorder
Laboratoire de Physique Théorique et Hautes Energies,
Universités Pierre et Marie Curie Paris VI et Denis Diderot Paris VII,
2 pl. Jussieu, 75251 Paris Cedex 05, France
Corresponding author: firstname.lastname@example.org
Accepted: 26 January 1998
We investigate the effects of weak disorder on different coupled q-state Potts models with using two-loop renormalisation group equations. This study presents new examples of first-order transitions driven by randomness. We found that weak disorder makes the models decouple. Therefore, it appears that no relation emerges, at a perturbation level, between the disordered -state Potts model and the two disordered q1, q2-state Potts models (), though recent numerical investigations have shown that their central charges are approximately similar.
PACS: 05.70.Jk – Critical point phenomena / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 75.10.Hk – Classical spin models
© EDP Sciences, 1998
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