Abstract

Monte Carlo simulation within the grand canonical ensemble, the histogram reweighting technique, and finite size scaling analysis are used to explore the phase behaviour of heteronuclear dimers, composed of A and B type segments, on square and triangular lattices. We have considered models with attractive BB and AB nearest-neighbour energy, u BB= u AB=−1, and the energy u AA from the interval 〈−0.5,0.5〉. The phase diagrams and critical parameters have been estimated for both lattices. We have also evaluated the dependences of the critical point characteristics on the value of u AA. The new ordered structures in liquid phase have been found. It has been shown that for repulsive AA interactions the dimers distributed on a triangular lattice belonged to the two-dimensional Ising class but in the case of a square lattice the system exhibited a non-universal critical behaviour.

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