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PreprintarXiv licencearXiv

Relaxation-Time Boltzmann Solutions Without Truncations

  • Tiago Nunes da Silva
  • Jadna L. Barauna
  • Giorgio Torrieri
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Abstract

The relaxation-time Boltzmann equation governs relativistic matter far from equilibrium, but existing approaches rely on finite-order truncations that break down in this regime. We introduce ShARK (Stochastic Advection Relaxation Kinetics), the first fully 3D Monte Carlo kinetic framework to capture exact, far-from-equilibrium ultrarelativistic dynamics for arbitrary initial conditions while directly enforcing target transport coefficients, converging to the exact Anderson-Witting solution. Validated against the Bjorken and Gubser flows, the framework reproduces the exact kinetic result where truncated methods fail.

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Cite

BibTeXRIS
BibTeX
@misc{silva2026relaxationtime,
  title = {{Relaxation-Time Boltzmann Solutions Without Truncations}},
  author = {Tiago Nunes da Silva and Jadna L. Barauna and Giorgio Torrieri},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35164},
  eprint = {2609.35164},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35164},
}
RIS
TY  - UNPB
TI  - Relaxation-Time Boltzmann Solutions Without Truncations
AU  - Tiago Nunes da Silva
AU  - Jadna L. Barauna
AU  - Giorgio Torrieri
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35164
UR  - https://arxiv.org/abs/2609.35164
AB  - The relaxation-time Boltzmann equation governs relativistic matter far from equilibrium, but existing approaches rely on finite-order truncations that break down in this regime. We introduce ShARK (Stochastic Advection Relaxation Kinetics), the first fully 3D Monte Carlo kinetic framework to capture exact, far-from-equilibrium ultrarelativistic dynamics for arbitrary initial conditions while directly enforcing target transport coefficients, converging to the exact Anderson-Witting solution. Validated against the Bjorken and Gubser flows, the framework reproduces the exact kinetic result where truncated methods fail.
ER  -