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The One Component Plasma Model

A reference for strongly coupled coulomb systems

Understanding plasma behavior through coulomb coupling and particle dynamics

The One-Component Plasma model, or more simply “the OCP,” is a reference model in the study of strongly coupled Coulomb systems that plays a conceptual role similar to that filled by the hard-sphere model in the theory of neutral fluids.

The OCP consists of a system of identical, electrically charged point particles interacting exclusively through the Coulomb potential and immersed in a rigid, uniform background of opposite charge to ensure overall charge neutrality.

The particle dynamics is governed by the laws of classical non-relativistic mechanics (the quantum counterpart of the OCP is called the “jellium model” and is used as a first approximation to the conduction electron fluid in metals and dense plasmas, ignoring the details of the underlying discrete ionic subsystem).

Ocp Phase Diagram

 A single parameter

One Component Plasma Diagram and Model 

A very attractive feature of the OCP is that its physical properties in or near equilibrium can be fully characterized by a single dimensionless parameter, the so-called "Coulomb coupling parameter"' 

Wigner Seitz

The Phase Diagram

This structure is characteristic of a dilute gas phase.

Particle dynamics

[Image diagram spans vertically to include each bullet]

Effect of particle dynamics on transport properties: shear viscosity

In a fluid, transport of momentum occurs not only by the bodily movement of particles but also by the action of interaction forces at a distance.

One Component Plasma Viscosity (OCP)
Dimensionless shear viscosity η∗=ηmna2ωp of the OCP as a function of the Coupling parameter Γ.M

 

References

  • Statistical mechanics of simple coulomb systems
  • M. Baus and J.P. Hansen, Statistical Mechanics of Simple Coulomb Systems, Phys. Rep. 50, 1 (1980).

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