2003/12/17 by Emmanuel Trizac, Yan Levin · 3 citations
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Charge (physics) #Chemistry #Classical mechanics #Colloid #Electron #Electrostatics and Colloid Interactions #Equation of state #Ion #Jellium #Material Dynamics and Properties #Mathematics #Monte Carlo method #Physics #Point particle #Poisson's equation #Poisson–Boltzmann equation #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.69.031403
published as Phys. Rev. E 69, 031403 (2004) · 4 pages, 3 figures
arxiv created 2003/12/17 · openalex publication_date 2004/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a renormalized jellium model to calculate the equation of state for charged colloidal suspensions. An almost perfect agreement with Monte Carlo simulations is found. Our self-consistent approach naturally allows to define the effective charge of particles at finite colloidal density. Although this quantity may differ significantly from its counterpart obtained from the standard Poisson-Boltzmann cell approach, the osmotic pressures for both models are in good agreement. We argue that by construction, the effective charge obtained using the jellium approximation is more appropriate to the study of colloidal interactions. We also discuss a possibility of a fluid-fluid critical point and show how our equation of state can be used to shed light on the surprising results found in recent sedimentation experiments.