# High accuracy Monte Carlo study of dispersion model of biaxial liquid crystals

## TL;DR

This study uses high-precision Monte Carlo simulations to analyze the phase transition in biaxial liquid crystals, revealing new details about the coexistence curve and critical points that differ from previous theoretical predictions.

## Contribution

It provides a detailed Monte Carlo analysis of the isotropic-nematic transition in biaxial liquid crystals, highlighting differences from earlier models.

## Key findings

- Identification of the NI coexistence curve and Landau critical point.
- Observation of a sharp change in the coexistence curve's curvature.
- Revealed departure from earlier theoretical predictions.

## Abstract

We present a high accuracy Monte Carlo simulation study of the Isotropic - Nematic phase transition of a lattice dispersion model of biaxial liquid crystals. The NI coexistence curve terminating at the Landau critical point have been determined using multiple histogram reweighting technique. A close investigation reveals a sharp departure in the nature of the $N$-$I$ coexistence curve in temperature- biaxiality parameter phase diagram in comparison to the earlier theoretical (either mean-field or computer simulation) predictions.The coexitence curve shows a change in curvature with increasing value of the degree molecular biaxiality.