Microrheology of isotropic and liquid-crystalline phases of hard rods by dynamic Monte Carlo simulations

Particle tracking in soft materials allows one to characterise the material’s local viscoelastic response, a technique referred to as microrheology (MR). In particular, MR can be especially powerful to ponder the impact of structural ordering on the tracer’s transport mechanism and thus disclose intriguing elements that cannot be observed in isotropic fluids. In this work, we perform Dynamic Monte Carlo simulations of isotropic and liquid-crystalline phases of rod-like particles and employ MR to characterise their linear viscoelastic response. By incorporating tracers of different diameters, we can assess the combined effect of size and ordering across the relevant time and length scales of the systems’ relaxation. While the dynamics of small tracers is dramatically determined by the background ordering, sufficiently large tracers have a reduced perception of the medium nanostructure and this difference directly influences the observed MR. Our results agree very well with the picture of a microviscosity increasing with the relevant system length scales, but also suggest the crucial relevance of long-ranged order as a key element governing the system’s viscoelastic response.
The Royal Society (IES\R1\191066); Leverhulme Trust (RPG-2018-415); Spanish Ministerio de Ciencia, Innovación y Universidades (PGC2018-101555-B- I00); UAL/CECEU/FEDER (UAL18-FQM- B038-A); Consejería de Transformación Económica, Industria, Conocimiento y Universidades de la Junta de Andalucía/FEDER (P20-00816)