Multiscale Modeling of Sorption Kinetics

Clarissa Astuto, Antonio Raudino, Giovanni Russo

Research output: Contribution to journalArticlepeer-review


In this paper, we propose and validate a multiscale model for the description of particle diffusion in presence of trapping boundaries. We start from a drift-diffusion equation in which the drift term describes the effect of bubble traps and is modeled by a short-range potential with an attractive term and a repulsive core. The interaction of the particles attracted by the bubble surface is simulated by the Lennard–Jones potential that simplifies the capture due to the hydrophobic properties of the ions. In our model, the effect of the potential is replaced by a suitable boundary condition derived by mass conservation and asymptotic analysis. The potential is assumed to have a range of small size ε. An asymptotic expansion in the ε is considered, and the boundary conditions are obtained by retaining the lowest-order terms in the expansion. Another aspect we investigate is the saturation effect coming from high concentrations in the proximity of the bubble surface. The validity of the model is carefully checked with several tests in one and two dimensions and different geometries.
Original languageEnglish (US)
Pages (from-to)374-399
Number of pages26
JournalMultiscale Modeling & Simulation
Issue number1
StatePublished - Mar 30 2023

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Modeling and Simulation
  • Chemistry(all)
  • Ecological Modeling
  • Computer Science Applications


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