Ordering and association of patchy particles in quasi-one-dimensional channel

Abstract

We show that the formalism of Wertheim's first order thermodynamic perturbation theory can be generalised for the fluid of rotating sticky particles with anisotropic hard core confined to a quasi-one-dimensional channel. Using the transfer matrix method, we prove that the theory is exact if the hard body interaction is additive, only the first neighbors interact and the particles can stick together only along the channel. We show that the most convenient treatment of association in narrow channels is to work in NPT ensemble, where all structural and thermodynamic quantities can be expressed as a function of pressure and fraction of sites unbonded.

12 pages, 3 figures, to be published in Physical Review Research

References in corpus (14)

• Colloidal Hard Spheres: Triumphs, Challenges and Mysteries
• Hard-body models of bulk liquid crystals
• Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
• Universality in the jamming limit for elongated hard particles in one dimension
• One-dimensional fluids with second nearest-neighbor interactions
• Beyond the single-file fluid limit using transfer matrix method: Exact results for confined parallel hard squares
• Inherent Structure Landscape of Hard Spheres Confined to Narrow Cylindrical Channels
• Extended Wertheim theory predicts the anomalous chain length distributions of divalent patchy particles under extreme confinement
• Equilibrium adsorption and self-assembly of patchy colloids in microchannels
• Biaxial nematic order in fundamental measure theory
• Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid
• Phase Behavior of the Patchy Colloids Confined in the Patchy Porous Media
• Ordering properties of anisotropic hard bodies in one-dimensional channels
• Competition between shape anisotropy and deformation in the ordering and close packing properties of quasi-one-dimensional hard superellipse fluids