• Corpus ID: 233025454

Heat kernel for the linearized Poisson -Nernst-Planck equation

@inproceedings{Wolansky2021HeatKF,
  title={Heat kernel for the linearized Poisson -Nernst-Planck equation},
  author={Gershon Wolansky},
  year={2021}
}
The linearized of the Poisson-Nernst-Planck (PNP) equation under closed ends around a neutral state is studied. It is reduced to a damped heat equation under non-local boundary conditions, which leads to a stochastic interpretation of the linearized equation as a Brownian particle which jump and is reflected, at Poisson distributed time, to one of the end points of the channel, with a probability which is proportional to its distance from this end point. An explicit expansion of the heat kernel… 

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