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The behaviour and stability of soft and biological matter depend significantly on electrostatic interactions, as particles such as proteins and colloids acquire a charge when dispersed in an electrolytic solution. A typical simplification…

Soft Condensed Matter · Physics 2025-05-09 Andraž Gnidovec , Emanuele Locatelli , Simon Čopar , Anže Božič , Emanuela Bianchi

In the framework of a multiscale modeling approach, we present a systematic study of a bipolar rectifying nanopore using a continuum and a particle simulation method. The common ground in the two methods is the application of the…

A system modeling the electrophoretic motion of a charged rigid macromolecule immersed in a incompressible ionized fluid is considered. The ionic concentration is governing by the Nernst-Planck equation coupled with the Poisson equation for…

Analysis of PDEs · Mathematics 2014-02-20 Luciano Bedin , Mark Thompson

Modeling of biomolecular systems plays an essential role in understanding biological processes, such as ionic flow across channels, protein modification or interaction, and cell signaling. The continuum model described by the…

Biological Physics · Physics 2015-12-08 Yu Qiao , Benzhuo Lu

This work represents an extension of mesoscale particle-based modeling of electrophoretic deposition (EPD), which has relied exclusively on pairwise interparticle interactions described by Derjaguin-Landau-Verwey-Overbeek (DLVO) theory.…

This work presents a finite element method for a modified Poisson-Nernst-Planck/Navier-Stokes (PNP/NS) model under the mechanical equilibrium, developed for compressible electrolytes. Another key contribution of this work is the reduction…

Numerical Analysis · Mathematics 2026-01-27 Ankur , Ram Jiwari , Satyvir Singh

Starting with a microscopic (individual-based) Brownian dynamics model of charged particles (ions), its macroscopic description is derived as a system of partial differential equations that govern the evolution of ion concentrations in…

Computational Physics · Physics 2025-06-25 Jinyuan Zhang , Radek Erban

We study a model Coulomb fluid consisting of dipolar solvent molecules of finite extent generalizing the point-like Dipolar Poisson-Boltzmann model (DPB) previously introduced by Coalson and Duncan (J. Phys. Chem 100, 2612 (1996)) and…

Soft Condensed Matter · Physics 2014-06-18 Sahin Buyukdagli , Ralf Blossey

The standard model for diffuse charge phenomena in colloid science, electrokinetics and biology is the Poisson-Boltzmann mean-field theory, which breaks down for multivalent ions and large surface charge densities due to electrostatic…

Soft Condensed Matter · Physics 2020-02-14 J. Pedro de Souza , Martin Z. Bazant

Effective interactions between charged particles dispersed in an electrolyte are most commonly modeled using the Derjaguin-Landau-Verwey-Overbeek (DLVO) potential, where the ions in the suspension are coarse-grained out at mean-field level.…

Soft Condensed Matter · Physics 2025-10-23 Thijs ter Rele , Gerardo Campos-Villalobos , René van Roij , Marjolein Dijkstra

This study presents a dynamic modeling approach for precipitation in electrolyte systems, focusing on the crystallization of an aromatic amine through continuous processes. A novel model, integrating equilibrium and crystallization…

Chemical Physics · Physics 2025-11-04 Niklas Kemmerling , Sergio Lucia

Transport of electrolytic solutions under influence of electric fields occurs in phenomena ranging from biology to geophysics. Here, we present a continuum model for single-phase electrohydrodynamic flow, which can be derived from…

Fluid Dynamics · Physics 2020-06-30 Gaute Linga , Asger Bolet , Joachim Mathiesen

Interfacing atomistic-based with continuum-based simulation codes is now required in many multiscale physical and biological systems. We present the first results from coupled atomistic-continuum simulations on 190,000 processors. Platelet…

A new computational method is presented for study suspensions of charged soft particles undergoing fluctuating hydrodynamic and electrostatic interactions. The proposed model is appropriate for polymers, proteins and porous particles…

Soft Condensed Matter · Physics 2015-04-14 Juan P. Hernandez-Ortiz , Juan J. de Pablo

This review describes the theory and implementation of implicit solvation models based on continuum electrostatics. Within quantum chemistry this formalism is sometimes synonymous with the polarizable continuum model, a particular…

Chemical Physics · Physics 2022-03-15 John M. Herbert

Understanding the behavior of biomolecules such as proteins requires understanding the critical influence of the surrounding fluid (solvent) environment--water with mobile salt ions such as sodium. Unfortunately, for many studies, fully…

Soft Condensed Matter · Physics 2015-05-27 J. P. Bardhan , D. A. Tejani , N. S. Wieckowski , A. Ramaswamy , M. G. Knepley

Mean spherical approximation (MSA), second-order Barker-Henderson (BH) perturbation theory and thermodynamic perturbation theory (TPT) for associating fluids in combination with BH perturbation theory are applied to the study of the…

Soft Condensed Matter · Physics 2015-04-07 R. Melnyk

We study a system of nonlinear partial differential equations modeling the electrokinetics of a nematic electrolyte material consisting of various ion species suspended in a nematic liquid crystal within a bounded domain in two or three…

Analysis of PDEs · Mathematics 2026-05-19 Hengrong Du , Fizay-Noah Lee , Gieri Simonett

Understanding the on-chip motion of magnetic particles in a microfluidic environment is key to realizing magnetic particle-based Lab-on-a-chip systems for medical diagnostics. In this work, a simulation model is established to quantify the…

Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However,…

Chemical Physics · Physics 2022-06-20 Nathan Jarvey , Filipe Henrique , Ankur Gupta
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