2007/05/09 by Ariel Abrashkin, David Andelman, Henri Orland
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Boltzmann constant #Boltzmann equation #Dipole #Electrostatics and Colloid Interactions #Field (mathematics) #Ion #Mathematics #Microfluidic and Bio-sensing Technologies #Nanopore and Nanochannel Transport Studies #Physics #Poisson distribution #Poisson's equation #Poisson–Boltzmann equation #Quantum mechanics #Statistical physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.99.077801
published as Phys. Rev. Lett. 99, 077801 (2007) · 4 pages, 2 figures
arxiv created 2007/05/09 · openalex publication_date 2007/08/17 · arxiv updated 2012/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic expansion. It is applied to a two-plate system with oppositely charged surfaces. The ion distribution and profiles in the dipolar order parameter are calculated and can result in a large correction to the interplate pressure.