10 citations · 25 across the 10 of their papers we have counts for
6 papers · 1 filter
Exact Screening-Ranged Expansions for Many-Body Electrostatics
Sergii V. Siryk, Walter Rocchia
We present an exact many-body framework for electrostatic interactions among arbitrarily charged spheres in an electrolyte, modeled by the linearized Poisson--Boltzmann equatio…
Many interacting particles in solution. III. Spectral analysis of the associated Neumann--Poincaré-type operators
Sergii V. Siryk, Walter Rocchia
The interaction of particles in an electrolytic medium can be calculated by solving the Poisson equation inside the solutes and the linearized Poisson--Boltzmann equation in the so…
Many interacting particles in solution. II. Screening-ranged expansion of electrostatic forces
Sergii V. Siryk, Walter Rocchia
We present a fully analytical integration of the Maxwell stress tensor and derive exact relations for interparticle forces in systems of multiple dielectric spheres immersed in a p…
Many interacting particles in solution. I. Screening-ranged expansions of electrostatic potential and energy
Sergii V. Siryk, Walter Rocchia
We present an analytical many-body formalism for systems of spherical particles carrying arbitrary free charge distributions and interacting in a polarizable electrolyte solution,…
Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation
Andrii Hulianytskyi, Sergei Pereverzyev, Sergii Siryk +1
In the paper, we propose an analytical and numerical approach to identify scalar parameters (coefficients, orders of fractional derivatives) in the multi-term fractional differenti…
NextGenPB: an analytically-enabled super resolution and local (de)refinement Poisson-Boltzmann Equation solver
Vincenzo Di Florio, Patrizio Ansalone, Sergii V. Siryk +3
The Poisson-Boltzmann equation (PBE) is a relevant partial differential equation commonly used in biophysical applications to estimate the electrostatic energy of biomolecular syst…