Packing and emergence of the ordering of rods in a spherical monolayer

Abstract

Spatially ordered systems confined to surfaces such as spheres exhibit interesting topological structures because of curvature induced frustration in orientational and translational order.

Effect of confinement and topology: 2-TIPS vs. MIPS

“…This algorithm yields results that, for a suitably small integration timestep dt, are identical to those of actual motion on a spherical surface. 85 In line with the prevailing practice seen in many recent studies, 42,47,[86][87][88] we have chosen to adhere to the convention of taking packing fraction as the measure of the concentration of the particles on the spherical surface. The packing fraction of particles on the spherical surface is defined as Z = N/(16R 2 ).…”

“…Before trying to answer these questions in this work, we emphasize that the surface curvature is an important aspect that plays a key role in different biological phenomena such as collective cell motility in embryogenesis 35 or development of corneal epithelium 36 or alignment direction for particle aggregation in fluid vesicles. 37 Surface curvature can also induce various topological defects on systems of passive nematogens, [38][39][40][41][42] which can be controlled systematically. 43 An intricate interplay between the elasticity and active interaction leads to dynamics of defect structures for active nematic shells.…”

Stability of the chiral crystal phase and breakdown of the cholesteric phase in mixtures of active–passive chiral rods

“…Such systems can be modeled simply by assigning different diffusivities between the constituents of the system 41 or by coupling them to two different thermostats. 42,43 Such a 'twotemperature model' often results in a phase separation phenomenon termed as 2-TIPS 44 and has been used extensively for the last few years in a diverse setting of systems from Lennard-Jones (LJ) particles, 44,45 polymers, 46,47 dumbbells 48 in our previous works on rod-like particles. 49,50 One of the aims of this study is to explore the effect of the two-temperature model in a system of soft chiral particles.…”

Effect of sample height and particle elongation in the sedimentation of colloidal rods

“…[20][21][22] Beyond bulk phenomena, several works have focused on inhomogeneous systems of hard spherocylinders. Interfacial phenomena, [23][24][25][26][27] wetting, [28][29][30] capillary nematization 28,[30][31][32][33] and smectization 34,35 in planar pores, as well as confinementinduced phenomena in different geometries [36][37][38][39] have been studied with density functional approximations and computer simulations.…”