Modified scattering of solutions to the relativistic Vlasov–Maxwell system inside the light cone

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We demonstrate modified scattering of particle distribution functions in a model, indicating asymptotic behavior and charge density effects.

Particles exhibit modified scattering to a smooth asymptotic profile as decay rates increase, confirming theoretical predictions.
The results show convergence of the particle distribution function under the influence of electric fields and Lorentz forces.
Observational analysis of the relativistic Vlasov–Maxwell system reveals behavior of current density and magnetic fields.
Highlighting the importance of charge density, these findings may influence our understanding of dispersive mechanisms in physics.

Pankavich et al. (2025) studied this question.

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We demonstrate modified scattering of particle distribution functions in a model, indicating asymptotic behavior and charge density effects.