87 citations · 600 across the 44 of their papers we have counts for
44 papers
Multiscale retinal flow on a spherical cap of varying aperture
Chang Lin, Zilong Song, Bob Eisenberg +2
Modelling retinal haemodynamics is crucial for understanding retinal microcirculation but is computationally demanding because it involves coupling between the vasculature and surr…
Setting Boundaries for Statistical Mechanics
Bob Eisenberg
Statistical mechanics has grown without bounds in space. Statistical mechanics of point particles in an unbounded perfect gas is commonly accepted as a foundation for understanding…
On variational principles for polarization responses in electromechanical systems
Yiwei Wang, Chun Liu, Bob Eisenberg
Classical electrodynamics uses a dielectric constant to describe the polarization response of electromechanical systems to changes in an electric field. We generalize that descript…
Differential Capacitance of Electric Double Layers: A Poisson-Bikerman Formula
Ren-Chuen Chen, Chin-Lung Li, Jen-Hao Chen +2
We propose a Poisson-Bikerman (PBik) formula for calculating the differential capacitance (DC) of electrical double layers (EDLs) in aqueous electrolytes or ionic liquids. The PBik…
Molecular Mean-Field Theory of Ionic Solutions: a Poisson-Nernst-Planck-Bikerman Model
Jinn-Liang Liu, Bob Eisenberg
We have developed a molecular mean-field theory -- fourth-order Poisson-Nernst-Planck-Bikerman theory -- for modeling ionic and water flows in biological ion channels by treating i…
Field Theory of Reaction-Diffusion: Mass Action with an Energetic Variational Approach
Yiwei Wang, Chun Liu, Pei Liu +1
We extend the energetic variational approach so it can be applied to a chemical reaction system with general mass action kinetics. Our approach starts with an energy-dissipation la…