The criticality of self-assembled rigid rods on triangular lattices

TL;DR

This study uses Monte Carlo simulations to analyze the phase transition behavior of self-assembled rigid rods on triangular lattices, revealing a continuous transition unaffected by rod length polydispersity.

Contribution

It demonstrates that polydispersity does not alter the critical behavior of the system, contrasting with previous findings on similar models.

Findings

Identifies a continuous phase transition between ordered and disordered phases.

Shows polydispersity does not influence the critical behavior.

Finds criticality matches that of monodisperse rods on the same lattice.

Abstract

The criticality of self-assembled rigid rods on triangular lattices is investigated using Monte Carlo simulation. We find a continuous transition between an ordered phase, where the rods are oriented along one of the three (equivalent) lattice directions, and a disordered one. We conclude that equilibrium polydispersity of the rod lengths does not affect the critical behavior, as we found that the criticality is the same as that of monodisperse rods on the same lattice, in contrast with the results of recently published work on similar models.