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

2025/04/21 by Gurin, Péter, Varga, Szabolcs · 4 citations
#FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2504.15067

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.

Citations

• Competition between shape anisotropy and deformation in the ordering and close packing properties of quasi-one-dimensional hard superellipse fluids
• Inherent Structure Landscape of Hard Spheres Confined to Narrow Cylindrical Channels
• Finite-size effects and thermodynamic limit in one-dimensional Janus fluids
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• The Inherent Structure Landscape Connection Between Liquids, Granular materials and the Jamming Phase Diagram
• Universality in the jamming limit for elongated hard particles in one dimension
• Complete Jamming Landscape of Confined Hard Discs
• General Non-Existence Theorem for Phase Transitions in One-Dimensional Systems with Short Range Interactions, and Physical Examples of Such Transitions
• Overcomplete free energy functional for D=1 particle systems with next neighbor interactions
• Statistical associating fluid theory for chain molecules with attractive potentials of variable range
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