A steady-state mathematical model for an EOS capacitor: The effect of the size exclusion

Federica Di  Michele; Bruno  Rubino; Rosella  Sampalmieri

doi:10.3934/nhm.2016011

Article Contents

2016, Volume 11, Issue 4: 603-625. Doi: 10.3934/nhm.2016011

This issue Previous Article Stability of non-autonomous difference equations with applications to transport and wave propagation on networks Next Article Homogenization of nonlinear dissipative hyperbolic problems exhibiting arbitrarily many spatial and temporal scales

A steady-state mathematical model for an EOS capacitor: The effect of the size exclusion

1.
Department of Information Engineering, Computer Sciences and Mathematics, University of L'Aquila - via Vetoio, loc. Coppito, I-67100 L'Aquila

Received: November 30, 2014

Revised: April 30, 2016

Published: November 2016

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Abstract

In this paper we present a suitable mathematical model to describe the behaviour of a hybrid electrolyte-oxide-semiconductor (EOS) device, that could be considered for application to neuro-prothesis and bio-devices. In particular, we discuss the existence and uniqueness of solutions also including the effects of the size exclusion in narrow structures such as ionic channels or nanopores. The result is proved using a fixed point argument on the whole domain.
Our results provide information about the charge distribution and the potential behaviour on the device domain, and can represent a suitable framework for the development of stable numerical tools for innovative nanodevice modelling.

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Mathematics Subject Classification: Primary: 34B15, 58D30; Secondary: 82D37.

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