Phase transitions in systems of hard rectangles with non-integer aspect ratio

摘要: We investigate, using Monte Carlo simulations, the phase diagram of a system hard rectangles size m × mk on square lattice when aspect ratio k is non-integer. The existence disordered isotropic phase, nematic with only orientational order, columnar and partial translational high density no order shown. solid-like sublattice if length width are not mutually prime, else, it an phase. minimum value beyond which phases exist determined for = 2 3. nature transitions between different determined, critical exponents numerically obtained continuous transitions.