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Symmetrized general hopping current equation.
1Max-Planck-Institut für Festkörperforschung, Heisenbergstrabe 1, 70569 Stuttgart, Germany. riess@techunix.technion.ac.il
Physical Review Letters
|June 4, 2008
Summary
A new current equation simplifies understanding electrical and compositional effects. It uses a local nonequilibrium conductivity and a sinh function, applicable even with strong driving forces.
Area of Science:
- Physics
- Materials Science
- Chemistry
Background:
- Understanding charge transport is crucial in materials science.
- Local thermal equilibrium (LTE) is a common assumption in transport models.
- Non-equilibrium conditions present challenges for existing transport equations.
Purpose of the Study:
- To develop a generalized current equation valid under LTE.
- To incorporate both electrical and compositional driving forces.
- To account for complex phenomena like interactions and structural variations.
Main Methods:
- Formulation of a simple current equation.
- Expression of current using local nonequilibrium conductivity.
- Utilizing a sinh function of normalized electrochemical potential drop.
Main Results:
- A simple current equation is derived within the LTE validity range.
- The equation is independent of the driving force magnitude.
- The derived relation accounts for electrical and compositional effects.
Conclusions:
- The proposed current equation offers a unified approach to charge transport.
- It provides a framework for including interactions and structural variations.
- This model enhances the understanding of transport phenomena in various materials.
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