Relativistic transport near moving interfaces
Abstract
We study linear disturbances localized near planar surfaces moving at constant velocity v in relativistic media. Depending on the physical setting, the surface may represent a moving obstacle, a thermal boundary, or an external source, providing a unified description of boundary layers, wakes, and the asymptotic tails of shock waves. The central result is a propagator representation of the interface solution that yields a geometric characterization of these phenomena. Using a Laplace-transform formulation, we show that the solution is a superposition of modes with purely imaginary frequency and wavenumber. For a given interface velocity, the admissible modes are selected by the line iω=vik in the {iω,ik} plane. As v varies, this line sweeps across the spectrum, providing a unified geometric description of interface-localized solutions for arbitrary interface velocities. We illustrate the formalism with applications to relativistic hydrodynamics and kinetic theory.
Versions
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BibTeX
@misc{gavassino2026relativistic,
title = {{Relativistic transport near moving interfaces}},
author = {Lorenzo Gavassino},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2607.28569},
eprint = {2607.28569},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.28569},
}
RIS
TY - UNPB
TI - Relativistic transport near moving interfaces
AU - Lorenzo Gavassino
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2607.28569
UR - https://arxiv.org/abs/2607.28569
AB - We study linear disturbances localized near planar surfaces moving at constant velocity v in relativistic media. Depending on the physical setting, the surface may represent a moving obstacle, a thermal boundary, or an external source, providing a unified description of boundary layers, wakes, and the asymptotic tails of shock waves. The central result is a propagator representation of the interface solution that yields a geometric characterization of these phenomena. Using a Laplace-transform formulation, we show that the solution is a superposition of modes with purely imaginary frequency and wavenumber. For a given interface velocity, the admissible modes are selected by the line iω=vik in the {iω,ik} plane. As v varies, this line sweeps across the spectrum, providing a unified geometric description of interface-localized solutions for arbitrary interface velocities. We illustrate the formalism with applications to relativistic hydrodynamics and kinetic theory.
ER -