NEW POISSON-BOLTZMANN TYPE EQUATIONS : ONE DIMENSIONAL SOLUTIONS By

@inproceedings{Lee2010NEWPT,
  title={NEW POISSON-BOLTZMANN TYPE EQUATIONS : ONE DIMENSIONAL SOLUTIONS By},
  author={Hijin Lee and YunKyong Hyon and Tai-Chia Lin},
  year={2010}
}
The Poisson-Boltzmann (PB) equation is conventionally used to model the equilibrium of bulk ionic species in different media and solvents. In this paper we study a new PoissonBoltzmann type (PB n) equation with a small dielectric parameter 2 and nonlocal nonlinearity which takes into consideration of the preservation of the total amount of each individual ion. This equation can be derived from the original Poisson-Nernst-Planck (PNP) system. Under Robin type boundary conditions with various… CONTINUE READING
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Ion flow through narrow membrane channels: part II

  • V. Barcilon, D. P. Chen, R. S. Eisenberg
  • SIAM J. APPL. MATH. Vol.52, No.5, pp.1405–1425
  • 1992
Highly Influential
7 Excerpts

Boltzmann approach for a lipid membrane in an electric field

  • A Poisson David Lacoste
  • Phys Rev E
  • 2010

and David Lacoste

  • F. Ziebert
  • A Poisson.Boltzmann approach for a lipid membrane…
  • 2010
1 Excerpt

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