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Dimensional Factors and Non-Linear Processes in Structure-Dynamic Approach of Nanoionics
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| Organization: | Russian Academy of Science |
| Department: | Institute of Microelectronics Technology and High Purity Materials |
| Organization: | Russian Academy of Science |
| Department: | Institute of Microelectronics Technology and High Purity Materials |
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| Nano- and microsystem technology |
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An extension of non-linear dynamic fundamentals to the structure-dynamic approach of nanoionics (SDA) is formulated. A qualitative explanation of the dimensional factor is presented. Earlier, this factor was discovered by us in computer experiments for realistic (by geometry) models of nanostructures with ionic conductivity. The knowledge on the dimensional factor is important because it allows using on nanoscale the concept of "effective uniform field" and approach of the electrostatic Gauss field. It is shown that the ri -dimensional factor is determined by the smallness of an average distance ri between ions of mobile type in materials with hopping conductivity. The obtained result is formulated as a reciprocity theorem (in SDA) between excess charges and field additives to the heights of potential barriers. It is found that objects of nanoionics should be considered as dynamical non-linear systems, which key parameters depend on external influence. The nonlinearity of SDA-equations is shown to manifest itself in noncommutativity of operators of a current generator.
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nanoionics, structure-dynamic approach, effective uniform electrostatic field, dimensional factor, solid electrolytes, nonlinear processes, computer modelling
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Russian
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