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Interaction and charge transfer between dielectric spheres: Exact and approximate analytical solutions
Fredrik Lindén1, Henrik Cederquist1, Henning Zettergren1
1Department of Physics, Stockholm University, Stockholm SE-106 91, Sweden.
The Journal of Chemical Physics
|November 24, 2016
Summary
We derived exact solutions for charge transfer between dielectric spheres, offering simpler approximations for practical applications like molecular cluster dynamics and astrophysical dust grain evolution.
Area of Science:
- Physics
- Physical Chemistry
- Materials Science
Background:
- Understanding charge transfer is crucial for nanoscale systems.
- Dielectric properties and finite sizes influence interactions.
- Previous models often lacked exact solutions for complex scenarios.
Purpose of the Study:
- To derive exact analytical solutions for charge transfer between two arbitrarily charged hard dielectric spheres.
- To develop simplified approximations for practical applications.
- To investigate the role of dielectric properties and sphere size in charge transfer dynamics.
Main Methods:
- Exact analytical solutions for charge transfer and sphere-sphere interaction energies.
- Infinite-order summation of polarization effects.
- Approximation of exact solutions with simpler analytical expressions.
- Calculation of Langevin-type and electron transfer cross sections.
Main Results:
- Exact analytical solutions for charge transfer reactions between dielectric spheres were obtained.
- Infinite-order polarization effects were incorporated.
- Simplified approximate solutions were developed and validated.
- Calculations demonstrated the importance of dielectric properties and finite sphere sizes.
Conclusions:
- The derived exact and approximate solutions are valuable for modeling charge transfer in dielectric spheres.
- These findings are applicable to the dynamics of nanometer-sized dielectric objects, including molecular clusters and astrophysical dust grains.
- Accurate modeling requires consideration of dielectric properties and finite sphere sizes.
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