Random Close Packing of Semi-Flexible Polymers in Two Dimensions: Emergence of Local and Global Order
arXiv:2406.10376 · doi:10.1063/5.0216436
Abstract
Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films. First, we explore the limit of random close packing as a function of the equilibrium bending angle and then quantify the local and global order by the degree of crystallinity and the nematic or tetratic orientational order parameter, respectively. A multi-scale wealth of structural behavior is observed, which is inherently absent in the case of athermal individual monomers and is surprisingly richer than its 3D counterpart under bulk conditions. As a general trend an isotropic to nematic transition is observed at sufficiently high surfaces coverages which is followed by the establishment of the tetratic state, which in turn marks the onset of the random close packing. For chains with right-angle bonds, the incompatibility of the imposed bending angle with the neighbor geometry of the triangular crystal leads to a singular intra- and inter-polymer tiling pattern made of squares and triangles with optimal local filling at high surface concentrations. The present study could serve as a first step towards the design of hard colloidal polymers with tunable structural behavior for 2D applications.
arXiv comment21 pages, 12 figures
References in corpus (44)
- Is Random Close Packing of Spheres Well Defined?
- Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- Dense Packings of the Platonic and Archimedean Solids
- Two-Dimensional Matter: Order, Curvature and Defects
- Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
- Unexpected Density Fluctuations in Jammed Disordered Sphere Packings
- Why is Random Close Packing Reproducible?
- Free energies of crystalline solids: a lattice-switch Monte Carlo method
- Dense Packings of Polyhedra: Platonic and Archimedean Solids
- Random Close Packing of Disks and Spheres in Confined Geometries
- Tetratic Order in the Phase Behavior of a Hard-Rectangle System
- Nonequilibrium steady states in a vibrated-rod monolayer: tetratic, nematic and smectic correlations
- Random close packing revisited: How many ways can we pack frictionless disks?
- A Precise Packing Sequence for Self-Assembled Convex Structures
- Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming
- Spontaneous Patterning of Confined Granular Rods
- Unexpected drop of dynamical heterogeneities in colloidal suspensions approaching the jamming transition
- Force indeterminacy in the jammed state of hard disks
- Explicit Analytical Solution for Random Close Packing in d=2 and d=3
- Shape and symmetry determine two-dimensional melting transitions of hard regular polygons
- Packing, alignment and flow of shape-anisotropic grains in a 3D silo experiment
- Effect of particle geometry on phase transitions in two-dimensional liquid crystals
- Breakdown of the Kratky-Porod Wormlike Chain Model for Semiflexible Polymers in Two Dimensions
- Organizing Principles for Dense Packings of Nonspherical Hard Particles: Not All Shapes Are Created Equal
- Anomalous fluctuations of nematic order in solutions of semiflexible polymers
- Jamming in two-dimensional packings
- Maximally dense packings of two-dimensional convex and concave noncircular particles
- Numerical test of the Edwards conjecture shows that all packings are equally probable at jamming
- Athermal jamming of soft frictionless Platonic solids
- Theory and simulation of two-dimensional nematic and tetratic phases
- Long-Range Anomalous Decay of the Correlation in Jammed Packings
- Orientational correlations and the effect of spatial gradients in the equilibrium steady state of hard rods in 2D : A study using deposition-evaporation kinetics
- Ordering in granular rod monolayers driven far from thermodynamic equilibrium
- Monte Carlo Simulation of Dense Polymer Melts Using Event Chain Algorithms
- Random close packing in protein cores
- Packing and Self-assembly of Truncated Triangular Bipyramids
- The disc random packing problem: a disorder criterion and an explicit solution
- Hard sphere crystal nucleation rates: Reconciliation of simulation and experiment
- Dense sphere packings from optimized correlation functions
- Event-Chain Monte-Carlo Simulations of Dense Soft Matter Systems
- Statistical theory of correlations in random packings of hard particles
- Packing structure of a two-dimensional granular system through the jamming transition
- Exotic liquid crystalline phases in monolayers of vertically vibrated granular particles