6 papers
Multi-solitons of the half-wave maps equation and Calogero-Moser spin-pole dynamics
Bjorn K. Berntson, Rob Klabbers, Edwin Langmann
We consider the half-wave maps (HWM) equation which provides a continuum description of the classical Haldane-Shastry spin chain on the real line. We present exact multi-soliton so…
Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators
Bjorn K. Berntson, Ernest G. Kalnins, Willard Miller
We make significant progress toward the classification of 2nd order superintegrable systems on 3-dimensional conformally flat space that have functionally linearly dependent (FLD)…
Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We present a non-chiral version of the Intermediate Long Wave (ILW) equation that can model nonlinear waves propagating on two opposite edges of a quantum Hall system, taking into…
Differential capacitance of ionic liquids according to lattice-gas mean-field model with nearest-neighbor interactions
Rachel Downing, Bjorn K. Berntson, Guilherme V. Bossa +1
The Bragg-Williams free energy is used to incorporate nearest-neighbor interactions into the lattice gas model of a solvent-free ionic liquid near a planar electrode. We calculate…
Debye-Hückel Theory of Weakly Curved Macroions: Implementing Ion Specificity through a Composite Coloumb-Yukawa Interaction Potential
Bjorn K. Berntson, Rachel Downing, Guilherme Volpe Bossa +1
The free energy of a weakly curved, isolated macroion embedded in a symmetric 1:1 electrolyte solution is calculated on the basis of linear Debye-Hückel theory, thereby accounting…
Curvature Elasticity of the Electric Double Layer
Guilherme Volpe Bossa, Bjorn K. Berntson, Sylvio May
Mean-field electrostatics is used to calculate the bending moduli of an electric double layer for fixed surface charge density of a macroion in a symmetric 1:1 electrolyte. The res…