1306.1385 (Joyjit Kundu et al.)

Re-entrant Disordered Phase in a System of Repulsive Rods on a
Bethe-like Lattice    [PDF]

Joyjit Kundu, R. Rajesh

We solve exactly a model of monodispersed rigid rods of length $k$ with repulsive interactions on the random locally tree like layered lattice. For $k\geq 4$ we show that with increasing density, the system undergoes two phase transitions: first from a low density disordered phase to an intermediate density nematic phase and second from the nematic phase to a high density re-entrant disordered phase. When the coordination number is $4$, both the phase transitions are continuous and in the mean field Ising universality class. For even coordination number larger than $4$, the first transition is discontinuous while the nature of the second transition depends on the rod length $k$ and the interaction parameters.

View original: http://arxiv.org/abs/1306.1385