What happens in hydrodynamic simulations of heavy-ion collisions when causality is violated?
Abstract
We summarize our recent investigations on how causality violations in Israel-Stewart-type relativistic viscous hydrodynamic simulations can give rise to both analytical and numerical instabilities. The classification of space-time regions into causal and stable ("good"), acausal but stable ("bad"), and acausal and unstable ("ugly") is reviewed. We compare the predictions of the MUSIC hydrodynamic solver with an analytical solution, and demonstrate how the acausality-driven instabilities develop in a simple one-dimensional scenario.
Fields of Study & Subjects
High-Energy Particle Collisions Research
Dust and Plasma Wave Phenomena
Pulsars and Gravitational Waves Research
Publication details
- Journal / source
- EPJ Web of Conferences
- Publisher
- EDP Sciences
- Volume
- 364
- Pages
- 04003–04003
- Publication date
- 1 January 2026
- Language
- EN