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Physical mechanisms of nonlinear conductivity: a model analysis
1Institut für physikalische Chemie, Westfälische Wilhelms Universität Münster, Corrensstr. 30, 48149 Münster, Germany.
The Journal of Chemical Physics
|March 11, 2014
Summary
Nonlinear conductivity in ion conducting thin films is explained by a disordered hopping model. This model predicts both positive and negative nonlinear effects, aligning well with simulations across various dimensions.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Physical Chemistry
Background:
- Nonlinear effects significantly alter conductivity in ion conducting thin films.
- Understanding these effects is crucial for developing advanced materials.
- Disordered hopping is a key mechanism in ion transport.
Purpose of the Study:
- To identify general physical mechanisms behind nonlinear conductivity in disordered hopping systems.
- To analytically derive results in high but finite dimensions.
- To compare analytical findings with numerical simulations and previous studies.
Main Methods:
- Development of a disordered hopping model.
- Analytical calculations in the limit of high but finite dimensions.
- Numerical simulations in 3D to 6D systems.
Main Results:
- General physical mechanisms for positive and negative nonlinear effects were identified.
- Excellent agreement was found between analytical and numerical results, especially in higher dimensions.
- The findings help rationalize previous numerical simulations of nonlinear conductivity.
Conclusions:
- The disordered hopping model successfully explains nonlinear conductivity phenomena in ion conducting thin films.
- The study provides a theoretical framework for interpreting experimental data on nonlinear conductivity.
- Implications for inorganic ion conductors and future research directions are discussed.
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