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

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 $k\ge 4$ 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.

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Cited by in corpus (17)

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• Different phases of a system of hard rods on three dimensional cubic lattice
• Entropy of fully packed hard rigid rods on $d$-dimensional hyper-cubic lattices
• High-Activity Expansion for the Columnar Phase of the Hard Rectangle Gas
• Monte Carlo Simulation of Evaporation Driven Self-Assembly in Suspension of Colloidal Rods
• Diffusion-driven self-assembly of rod-like particles: Monte Carlo simulation on a square lattice
• Phase transitions in systems of hard rectangles with non-integer aspect ratio
• The phase transition from nematic to high-density disordered phase in a system of hard rods on a lattice
• Sedimentation of a suspension of rods: Monte Carlo simulation of a continuous two-dimensional problem
• Vertical drying of a suspension of sticks: Monte Carlo simulation for continuous two-dimensional problem
• Phase diagram of a bidispersed hard rod lattice gas in two dimensions
• Aging in two dimensional suspensions of rods as driven by Brownian diffusion
• Polydispersed rods on the square lattice
• Diffusion dynamics and steady states of systems of hard rods on the square lattice
• Entropy of fully-packed rigid rods on generalized Husimi trees: a route to the square lattice limit