Please find attached some references to the conduction mechanism in polymer electrolytes:
http://www.sciencedirect.com/science/article/pii/S0167273802006859
http://pubs.acs.org/doi/abs/10.1021/ma012139f
http://jes.ecsdl.org/content/147/5/1645.abstract
http://www.srcf.ucam.org/~jae1001/proton_meeting/talks/Paddison_Membrane.pdf
http://hal.archives-ouvertes.fr/docs/00/25/24/44/PDF/ajp-jp4199404C102.pdf
www.springer.com/cda/.../9781852335106-c1.pdf?...
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8104980
http://amsl.engin.umich.edu/publications/10JPSPark.pdf
http://www.textile.hanyang.ac.kr/fpml/files/sci/5.pdf
Please note that the conducting ion (mostly cation) may be different in various systems.
I would not think so. Percolation may tell you about the connectivity between different conducting domains as a function of their volume fraction and size (distribution). It per se has no built-in model of conductivity. I have mostly encountered it in the context of the connectivity of metallic phases in insulating environment. In this case, you have metallic conductivity in the corresponding domains and you might still need some model for the non-metallic part.
In conducting polymers, oftentimes (I don't know about your case, of course) the description of conductivity is with appropriately chosen models of hopping. One group I know doing such things involves Carsten Deibel as one of the principal authors, in the context of e.g. organic photovoltaic devices. He is on RG and you may check his publications.
Thanks prof Fauth for answering. The problem of percolation theory is in ignoring the intetactions between different phases and ignoring shapes of particles. If this
theory is conjucted with geometrical models can this solve the problem
Percolation analysis gives you a prediction of the connectivity of the conducting paths. If you have metallic particles in an insulating matrix, then by applying the geometrical concepts of "percolation theory" you get an idea of the filling factor at which you expect metallic conductivity across a macroscopic specimen.
I would not expect, though, that metallic conductivity is appropriate for describing electric transport in most polymers. This is why I alluded to hopping models in my previous post.
My guess is that you first need models for the different phases in your material. Only then you could combine these into a model of conductivity of your material as a whole. This model will have to represent the geometrical distribution of the phases in the specimen. I could well imagine that arguments along the lines of percolation analysis will then be helpful to model the dependence of specimen conductivity on material composition.
Please find attached some references to the conduction mechanism in polymer electrolytes:
http://www.sciencedirect.com/science/article/pii/S0167273802006859
http://pubs.acs.org/doi/abs/10.1021/ma012139f
http://jes.ecsdl.org/content/147/5/1645.abstract
http://www.srcf.ucam.org/~jae1001/proton_meeting/talks/Paddison_Membrane.pdf
http://hal.archives-ouvertes.fr/docs/00/25/24/44/PDF/ajp-jp4199404C102.pdf
www.springer.com/cda/.../9781852335106-c1.pdf?...
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8104980
http://amsl.engin.umich.edu/publications/10JPSPark.pdf
http://www.textile.hanyang.ac.kr/fpml/files/sci/5.pdf
Please note that the conducting ion (mostly cation) may be different in various systems.
Thanks, the answers of both of you were of valuable advantage to me, but I wonder can we combine the models of direct ionic conductivity (or hopping ) with the percolation theory?
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