Statistics of close-packed dimers on fractal lattices

摘要: Abstract We study the model of close-packed dimers on planar lattices belonging to family modified rectangular (MR) fractals, whose members are enumerated by an integer p ≥ 2 , as well non-planar 4-simplex fractal lattice. By applying exact recurrence enumeration method, we determine asymptotic forms for numbers dimer coverings, and numerically calculate entropies per in thermodynamic limit, a sequence MR with ≤ 8 fractal. find that entropy fractals is increasing function scaling parameter every considered it smaller than same Obtained results discussed compared obtained previously some translationally invariant lattices.