- #31
ProfDawgstein
- 80
- 1
WannabeNewton said:
[ limits to the rescue :) ]
So you emailed him? Cool.
I don't think I need anything else right now, thanks.
Mass conservation charged dust
- Context: Graduate
- Thread starter WannabeNewton
- Start date
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SUMMARY
The discussion centers on the conservation of mass in a system of charged dust particles within a specific space-time framework, characterized by the energy-momentum tensors for both the charged dust and the electromagnetic field. The energy-momentum tensor for charged dust is defined as ##T^{\text{charges}}_{ab} = \rho \xi_a \xi_b##, while the electromagnetic contribution is given by ##T^{\text{EM}}_{ab} = F_{ac}F_{b}{}{}^{c} - \frac{1}{4}g_{ab}F^{cd}F_{cd}##. The authors assert that the total energy-momentum tensor satisfies the conservation law ##\nabla^a T_{ab} = 0##, contingent upon the assumptions of Lorentz force law compliance and mass current conservation. The conversation also touches on the implications of electromagnetic interactions on the motion of dust particles and the necessity of a mean-field approximation.
PREREQUISITES- Understanding of energy-momentum tensors in general relativity
- Familiarity with the Lorentz force law and its application to charged particles
- Knowledge of electromagnetic field theory and its interaction with matter
- Concepts of mass current conservation in relativistic frameworks
- Study the derivation of mass current conservation in general relativity
- Explore the implications of electromagnetic fields on particle dynamics in relativistic contexts
- Investigate the Vlasov equation and its applications to charged dust systems
- Examine the role of mean-field approximations in modeling interacting particle systems
Physicists, particularly those specializing in general relativity, electromagnetism, and plasma physics, will benefit from this discussion, as it addresses the complexities of mass conservation in charged particle systems.