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Related Concept Videos

Theory of Metallic Conduction01:17

Theory of Metallic Conduction

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,...
Thermal expansion and Thermal stress: Problem Solving01:27

Thermal expansion and Thermal stress: Problem Solving

San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.
Electrical Conductivity01:13

Electrical Conductivity

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.
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Electric Field Inside a Conductor01:20

Electric Field Inside a Conductor

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Magnetic Force On Current-Carrying Wires: Example01:22

Magnetic Force On Current-Carrying Wires: Example

In a magnetic field, moving charges encounter a force. If a wire contains these moving charges, i.e., if the wire is carrying a current, then a force acts on the wire as well. Consider a pair of flexible leads holding a wire that is 40 cm long and 10 g in weight in a horizontal position. The wire is placed in a constant magnetic field of 0.40 T, as shown in Figure 1(a). Determine the magnitude and direction of the current flowing in the wire needed to remove the tension in the supporting leads.
Charging Conductors By Induction01:15

Charging Conductors By Induction

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Updated: May 14, 2026

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Exploding-wire experiments and theory for metal conductivity evaluation in the sub-eV regime.

J Stephens1, A Neuber

  • 1Center for Pulsed Power and Power Electronics, Texas Tech University, Lubbock, Texas 79409, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 2, 2013
PubMed
Summary

This study validates magnetohydrodynamic (MHD) simulations for high-density metal plasma. The findings confirm the accuracy of conductivity models in the sub-eV regime for pulsed power applications.

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Area of Science:

  • Plasma Physics
  • Computational Physics
  • Materials Science

Background:

  • Pulsed high current densities applied to copper and silver wires generate high-density metal plasma.
  • Atmospheric air serves as the background gas in these experiments.
  • Accurate material equation of state (EOS) and transport properties are crucial for plasma simulations.

Purpose of the Study:

  • To present numerical simulations of high-density metal plasma generated by pulsed high currents.
  • To validate magnetohydrodynamic (MHD) models and electrical conductivity models in the sub-eV plasma regime.
  • To compare the applicability of sophisticated conductivity models with a simpler empirical model.

Main Methods:

  • One-dimensional magnetohydrodynamic (MHD) partial differential equations were solved simultaneously with circuit equations.
  • The LANL sesame database was utilized for the material equation of state (EOS).
  • Two electrical conductivity models were applied: Lee-More-Desjarlais (LMD), quantum LMD (QLMD), and an empirical model.

Main Results:

  • Simulations using LMD and QLMD conductivity models demonstrated the accuracy of the MHD methodology in the sub-eV regime.
  • The conductivity data from LMD and QLMD were found to be reliable for the simulated plasma conditions.
  • An empirical conductivity model was evaluated for its temperature-density range of applicability against the LMD/QLMD models.

Conclusions:

  • The employed MHD simulation framework and conductivity models (LMD, QLMD) are accurate for sub-eV, high-density metal plasmas.
  • The study provides insights into the performance of different electrical conductivity models in this specific plasma regime.
  • Further exploration of empirical models is warranted to understand their limitations and potential for computational efficiency.