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

Federica Di Michele | Zendy; Bruno Rubino | Zendy; Rosella Sampalmieri | Zendy

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

Author(s) -

Federica Di Michele,

Bruno Rubino,

Rosella Sampalmieri

Publication year - 2016

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2016011

Subject(s) - uniqueness , domain (mathematical analysis) , steady state (chemistry) , materials science , capacitor , statistical physics , computer science , mechanics , mathematics , physics , mathematical analysis , chemistry , voltage , quantum mechanics

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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