# Molecular Dynamics Simulations

## strongly correlated weakly degenerate one-component plasma

- Computation of Thermodynamic (equilibrium) quantities: pressure, energy, pair distributions etc.
- Computation of dynamic properties: density-density correlation function, dynamic structure factor etc.
- Peaks of the Structure factor yield the optical plasmon dispersion

- Classical molecular dynamics rigorously describes strongly correlated systems
- Using effective quantum pair potentials (Kelbg potential), quantum effects can be "built in"

### Langmuir (optical) plasmon dispersion of correlated electrons

#### The dashed line is what standard linearized Vlasov theory (RPA) predicts

Figures show the plasmon dispersion for varying strength of the coupling parameter,
Gamma=mean Coulomb energy/kinetic energy.

1. Weakly correlated plasma:

2. Intermediate correlation strength:

3. Strong correlations:

Plasmon frequency in units of the optical plasma frequency vs. wave number in units
of the mean interparticle distance

### Damping of Langmuir waves of correlated electrons

lowest curve is the prediction of linearized Vlasov theory

Simulation results by Vova Golubnichiy, 2000.
For details, see
our recent publication

For a brief explanation of the principles of the simulations, click
here

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