In pursuit of the tetratic phase in hard rectangles

Fuente: arXiv
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Main Authors: Dertli, Denis, Speck, Thomas
Format: Preprint
Published: 2024
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author Dertli, Denis
Speck, Thomas
author_facet Dertli, Denis
Speck, Thomas
contents We numerically investigate two-dimensional systems of hard rectangles at constant pressure through extensive hard-particle Monte Carlo simulations. We determine the complete phase diagram as a function of packing fraction and aspect ratio, which consists of four distinct phases. At very high packing fractions, particles form a smectic solid for all aspect ratios. Rod-like particles with large aspect ratio assemble in an intervening nematic phase, which is displaced by a "tetratic" phase (also called biaxial nematic) for moderately elongated rectangles. Surprisingly, we find evidence that the transition from tetratic to smectic is weakly discontinuous at variance with previously proposed two-step scenarios for the melting of hard particles.
format Preprint
id arxiv_https___arxiv_org_abs_2408_06889
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle In pursuit of the tetratic phase in hard rectangles
Dertli, Denis
Speck, Thomas
Soft Condensed Matter
Statistical Mechanics
We numerically investigate two-dimensional systems of hard rectangles at constant pressure through extensive hard-particle Monte Carlo simulations. We determine the complete phase diagram as a function of packing fraction and aspect ratio, which consists of four distinct phases. At very high packing fractions, particles form a smectic solid for all aspect ratios. Rod-like particles with large aspect ratio assemble in an intervening nematic phase, which is displaced by a "tetratic" phase (also called biaxial nematic) for moderately elongated rectangles. Surprisingly, we find evidence that the transition from tetratic to smectic is weakly discontinuous at variance with previously proposed two-step scenarios for the melting of hard particles.
title In pursuit of the tetratic phase in hard rectangles
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2408.06889