Dipolar dimer liquid

A lattice liquid model, dipolar dimer liquid (DDL), is proposed motivated by the water. The DDL on the bipartite lattice may be exactly mapped to the annealed Ising model on random graphs. We showed that there exists a phase transition of the DDL when the density is not too small. In the low temperature phase, which we called glacia phase, the polar charges are ordered while the dimers are still free to move and rotate. On two-dimensional square lattice and honeycomb lattice, we may bound the critical temperature $T_c^G$ by comparing the Ising model on random graphs to the exactly-solved Ising models.