Polydispersed rods on the square lattice

Abstract

We study the grand-canonical solution of a system of hard polydispersed rods placed on the square lattice using transfer matrix and finite size scaling calculations. We determine the critical line separating an isotropic from a nematic phase. No second transition to a disordered phase is found at high density, contrary to what is observed in the monodispersed case. The estimates of critical exponents and the central charge on the critical line are consistent with the Ising universality class.

11 pages, 15 figures, revised version, accepted for publication in PRE

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Cited by in corpus (9)

• Asymptotic Behavior of the Isotropic-Nematic and Nematic-Columnar Phase Boundaries for the System of Hard Rectangles on a Square 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
• Phase transitions in systems of hard rectangles with non-integer aspect ratio
• Transfer-matrix study of a hard-square lattice gas with two kinds of particles and density anomaly
• Phase diagram of a bidispersed hard rod lattice gas in two dimensions
• The columnar-disorder phase boundary in a mixture of hard squares and dimers
• Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice
• Polymers with nearest- and next nearest-neighbor interactions on the Husimi lattice