Searcharxiv⌕ Search

arXiv subjects

Björn Stenqvist

Publications and source records attributed to Björn Stenqvist.

2 recordsLinked to original sources

Generalized Moment Correction for Long-Ranged Electrostatics

Describing long-ranged electrostatics using short-ranged pair potentials is appealing since the computational complexity scales linearly with the number of particles. The foundation of this approach is to mimic the long-ranged medium response by cancelling electric multipoles within a small cutoff sphere. We propose a rigorous and formally exact new method that cancels up to infinitely many multipole moments and is free of operational damping parameters often required in existing theories. Using molecular dynamics simulations of water with and without added salt, we discuss radial distribution functions, Kirkwood-Buff integrals, dielectrics, diffusion coefficients, and angular correlations in relation to existing electrostatic models. We find that the proposed method is an efficient and accurate alternative for handling long-ranged electrostatics as compared to Ewald summation schemes. The methodology and proposed parameterization is applicable also for dipole-dipole interactions.

cond-mat.stat-mech↗

Tortuosity in the Brick and Mortar Model Based on Chemical Conduction

Diffusion is a reoccurring phenomena in many fields and is affected by the geometry in which it takes place. Here we investigate the effects of geometry on diffusion in a Brick and Mortar model system. The tortuous effects are evaluated based on generalized Fick's law, i.e. diffusion driven by differences in chemical potential. The presented formalism gives a general (semi-)exact analytic expression for the tortuosity using impermeable Bricks, which is successfully validated against standard techniques and finite element method results. The approach allows for anisotropic properties of the Mortar, which we show can be significant and is not captured with known analytic techniques. Based on the introduced concept of chemical conductivity we also find generalized Fick's law consistent with Ohm's and Fourier's law in terms of their constituent parts, which further makes the main results for brick and mortar structures directly applicable to diffusion of either charge, heat, or mass.

cond-mat.soft↗