Reentrant disordered phase in a system of repulsive rods on a Bethe-like lattice

2013/06/06 by Joyjit Kundu, R. Rajesh · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Bethe lattice #Condensed matter physics #Coordination number #Ising model #Lattice (music) #Liquid Crystal Research Advancements #Liquid crystal #Materials science #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Reentrancy #Rod #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.88.012134

published as Physical Review E 88, 012134 (2013)

arxiv created 2013/06/06 · openalex publication_date 2013/07/29 · arxiv updated 2013/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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≥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 reentrant disordered phase. When the coordination number is four, both phase transitions are continuous and in the mean field Ising universality class. For an even coordination number larger than four, the first transition is discontinuous, while the nature of the second transition depends on the rod length k and the interaction parameters.

Citations

• Equilibrium Phase Behavior of Polydisperse Hard Spheres
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