vix.ing · top · new · best · stats · spec

Exactly solvable model for self-assembly of hard core - soft shell\n particles at interfaces

2016/12/31 by A. Ciach, Alina Ciach, Ciach, Alina +3
Materials Science · Mathematics · Physics and Astronomy · #Attraction #Chemical physics #Composite material #Condensed matter physics #Core (optical fiber) #Core model #FOS: Physical sciences #Hard core #Lattice (music) #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Monolayer #Nanotechnology #Physics #Pickering emulsions and particle stabilization #SHELL model #Self-assembly #Shell (structure) #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1701.00088

arxiv created 2016/12/31 · openalex publication_date 2016/12/31 · arxiv updated 2017/01/03 · openalex created_date 2023/02/18 · openalex updated_date 2026/07/28

Abstract

A lattice model with soft repulsion followed by attraction is developed for a\nmonolayer of hybrid core-shell particles self-assembling at an interface. The\nmodel is solved exactly in one dimension. One, two or three periodic structures\nand variety of shapes of the pressure-density isotherms may occur in different\nversions of the model. For strong interactions the isotherm consists of\nvertical segments separated by plateaus. The range of order depends strongly on\nthe strength of attraction and on the density. Our results agree with\nexperimental observations.\n

Related