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Low-frequency plasma conductivity in the average-atom approximation.

M Yu Kuchiev¹, W R Johnson

¹Department of Theoretical Physics, School of Physics, University of New South Wales, Sydney, 2052, Australia. kuchiev@newt.phys.unsw.edu.au

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 15, 2008

Summary

This summary is machine-generated.

This study presents an improved average-atom model for plasma conductivity, accurately describing low and high frequencies by including many-atom collisions. The generalized model aligns with established formulas and sum rules for plasma physics.

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Area of Science:

Plasma physics
Condensed matter physics
Quantum electrodynamics (QED)

Background:

The average-atom approximation simplifies plasma electron scattering.
The single-atom approximation is limited at low frequencies (ωτ < 1).
Existing models struggle to accurately describe plasma conductivity across all frequencies.

Purpose of the Study:

To develop a generalized average-atom formalism for plasma conductivity.
To accurately model plasma properties across a wide frequency range (ω=0 to ωτ > 1).
To validate the model against established theoretical limits and experimental data.

Main Methods:

Utilizing an average-atom approximation.
Incorporating many-atom collision effects into the formalism.
Applying numerical calculations for aluminum plasma (2-10 eV).

Main Results:

The generalized formalism accurately describes plasma conductivity from static to high frequencies.
The model reproduces the Ziman formula in the static limit and Kubo-Greenwood results at high frequencies.
The conductivity sum rule is precisely satisfied by the proposed method.

Conclusions:

The generalized average-atom approach provides a unified description of plasma conductivity.
This method offers accurate predictions for frequency-dependent conductivity in various plasma conditions.
The study highlights connections between Ohm's law and infrared properties in QED.