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We consider the relativistic Vlasov-Maxwell system in three dimensions andstudy the limiting asymptotic behavior as $t \to \infty$ of solutions launchedby small, compactly supported initial data. In particular, we prove that suchsolutions scatter to a modification of the free-streaming asymptotic profile.More specifically, we show that the spatial average of the particledistribution function converges to a smooth, compactly-supported limit andestablish the precise, self-similar asymptotic behavior of the electric andmagnetic fields, as well as, the macroscopic densities and their derivatives interms of this limiting function. Upon constructing the limiting fields, amodified $L^\infty$ scattering result for the particle distribution functionalong the associated trajectories of free transport corrected by the limitingLorentz force is then obtained. When the plasma is non-neutral, our estimatesare sharp up to a logarithmic correction. However, when the plasma is neutral,the limiting charge and current densities may vanish, which gives rise to decayrates that are faster than those attributed to the dispersive mechanisms in thesystem.

Modified Scattering of Solutions to the Relativistic Vlasov-Maxwell System Inside the Light Cone