Related Experiment Video
Updated: Apr 12, 2026
07:17
Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
Published on: August 1, 2017
13.3K
Conductivity of warm dense matter including electron-electron collisions
H Reinholz1, G Röpke2, S Rosmej2
1Universität Rostock, Institut für Physik, 18051 Rostock, Germany and University of Western Australia School of Physics, WA 6009 Crawley, Australia.
Summary
Electron-electron collisions reduce plasma conductivity, a finding significant for dense plasmas. Their impact diminishes with increasing electron degeneracy, becoming negligible in liquid metals.
Area of Science:
- Plasma Physics
- Condensed Matter Physics
- Quantum Mechanics
Background:
- The role of electron-electron collisions in plasma conductivity is debated.
- Existing models like Spitzer and Ziman theories offer insights into specific plasma regimes.
Purpose of the Study:
- To resolve the controversy surrounding electron-electron collisions in dense plasma conductivity.
- To provide a unified approach for calculating conductivity across various degeneracy levels.
Main Methods:
- Analysis of dc conductivity in the low-density, nondegenerate limit.
- Investigation of conductivity changes with increasing electron degeneracy.
- Development of expressions for conductivity in the warm dense matter regime.
Main Results:
- Electron-electron collisions reduce conductivity compared to electron-ion collisions alone (Lorentz model).
- The contribution of electron-electron collisions decreases with increasing degeneracy.
- These collisions can be neglected in the liquid metal domain (Ziman theory).
Conclusions:
- A comprehensive approach to plasma conductivity is presented, accounting for electron-electron interactions.
- The study clarifies the diminishing role of these collisions in denser, more degenerate plasmas.
- New expressions are provided for conductivity calculations in warm dense matter.
Related Concept Videos
01:17Theory of Metallic Conduction
2.0K
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
2.0K
01:21Current Density
5.9K
The total amount of current flowing through one unit value of a cross-sectional area is referred to as current density. If the current flow is uniform, the amount of current flowing through a conductor is the same at all points along the conductor, even if the conductor area varies. The current density consists of the local magnitude and direction of the charge flow, which varies from point to point. Current density is measured in amperes per meter square, and direction is defined as the net...
5.9K
01:13Electrical Conductivity
2.2K
In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
2.2K
01:22Resistivity
6.3K
When a voltage is applied to a conductor, an electrical field is generated, and charges in the conductor feel the force due to the electrical field. The current density that results depends on the electrical field and the properties of the material. In some materials, including metals at a given temperature, the current density is approximately proportional to the electrical field. In these cases, the current density can be modeled as:
6.3K
01:19Conductors and Insulators
11.8K
Some materials may easily let electrical charges pass through them, while others obstruct their flow. The former are called conductors and the latter insulators. The atomic structures of materials determine whether they are conductors or insulators of electricity.
Most metals are conductors. Their atomic configuration is such that one or more electron(s) are loosely bound to the nucleus in each atom. Thus, a sea of mobile electrons are available in them, known as free electrons. Their easy...
Most metals are conductors. Their atomic configuration is such that one or more electron(s) are loosely bound to the nucleus in each atom. Thus, a sea of mobile electrons are available in them, known as free electrons. Their easy...
11.8K
01:26Charge on a Conductor
5.9K
An interesting property of a conductor in static equilibrium is that extra charges on the conductor end up on its outer surface, regardless of where they originate. Consider a hollow metallic conductor with a uniform surface charge density. Since the conductor itself is in electrostatic equilibrium, there should not be any electric field inside the conductor. Now, assume a Gaussian surface enclosing the hollow portion. Applying Gauss's law, the inner surface of the hollow conductor will not...
5.9K