Dynamics of electron hopping in redox polymer electrodes using kinetic Ising model |
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Authors: | R Aldrin Denny M V Sangaranarayanan |
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Institution: | (1) Department of Chemistry, Indian Institute of Technology, Madras-600 036, India, IN |
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Abstract: | The analysis of diffusion-migration equations pertaining to electron hopping and physical displacement in redox polymer electrodes
is carried out using kinetic Ising model formalism. It is shown that, by the appropriate choice of transition probabilities
obeying detailed balancing conditions, a hierarchy of transport equations can be derived. Earlier transport equations due
to Nernst-Planck and Savéant are derived as special cases. The dependence of apparent diffusion coefficient on number density
of redox centres, polymer morphology etc. are pointed out. Several new insights concerning the microscopic basis underlying
the hitherto known phenomenological equations are demonstrated.
Received: 27 May 1997 / Accepted: 24 July 1997 |
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Keywords: | Kinetic Ising model Electron hopping Physical displacement Diffusion-migration equation Redox polymer electrodes |
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