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Modification of Bikerman model with specific ion sizes

Tzyy-Leng HorngPing-Hsuan TsaiTai-Chia Lin — 2017

Molecular Based Mathematical Biology

Classical Poisson-Boltzman and Poisson-Nernst-Planck models can only work when ion concentrations are very dilute, which often mismatches experiments. Researchers have been working on the modification to include finite-size effect of ions, which is non-negelible when ion concentrations are not dilute. One of modified models with steric effect is Bikerman model, which is rather popular nowadays. It is based on the consideration of ion size by putting additional entropy term for solvent in free energy....

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