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Single Particle Battery Model via universal transform method

Statistical Mechanics 2022-07-14 v2
Authors: M. Zyskin
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Abstract

We obtain and investigate explicit analytic solution via universal transform of the diffusion equation in a spherical particles which appears in the so-called single particle model, a popular simple model of an electric battery.

Cite

@article{arxiv.2207.05129,
  title  = {Single Particle Battery Model via universal transform method},
  author = {M. Zyskin},
  journal= {arXiv preprint arXiv:2207.05129},
  year   = {2022}
}

Comments

Added: solution for the polynomial in time current and smooth initial condition, convergence to the initial condition as t->0, typos fixed

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