# Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems

@article{Kikuchi2015DerivationOS, title={Derivation of second-order relativistic hydrodynamics for reactive multicomponent systems}, author={Yuta Kikuchi and Kyosuke Tsumura and Teiji Kunihiro}, journal={Physical Review C}, year={2015}, volume={92}, pages={064909} }

We derive the second-order hydrodynamic equation for reactive multi-component systems from the relativistic Boltzmann equation. In the reactive system, particles can change their species under the restriction of the imposed conservation laws during the collision process. Our derivation is based on the renormalization group (RG) method, in which the Boltzmann equation is solved in an organized perturbation method as faithfully as possible and possible secular terms are resummed away by a…

## 8 Citations

First-Order General-Relativistic Viscous Fluid Dynamics

- PhysicsPhysical Review X
- 2022

We present the first generalization of Navier-Stokes theory to relativity that satisfies all of the following properties: (a) the system coupled to Einstein’s equations is causal and strongly…

Relativistic dissipation obeys Chapman-Enskog asymptotics: Analytical and numerical evidence as a basis for accurate kinetic simulations.

- PhysicsPhysical review. E
- 2019

An analytical derivation of the transport coefficients of a relativistic gas in (2+1) dimensions for both Chapman-Enskog (CE) asymptotics and Grad's expansion methods is presented, providing a solid basis for accurately calibrated computational studies of relatvistic dissipative flows.

Probing bulk viscosity in relativistic flows

- PhysicsPhilosophical Transactions of the Royal Society A
- 2020

We derive an analytical connection between kinetic relaxation rate and bulk viscosity of a relativistic fluid in d spatial dimensions, all the way from the ultra-relativistic down to the near…

The Energy-Momentum Tensor in Relativistic Kinetic Theory: The Role of the Center of Mass Velocity in the Transport Equations for Multicomponent Mixtures

- PhysicsJournal of Non-Equilibrium Thermodynamics
- 2019

Abstract Relativistic kinetic theory is applied to the study of the balance equations for relativistic multicomponent mixtures, comparing the approaches corresponding to Eckart’s and…

Dissipative hydrodynamics of relativistic shock waves in a quark gluon plasma: Comparing and benchmarking alternate numerical methods

- Physics
- 2020

This paper presents numerical cross-comparisons and benchmark results for two different kinetic numerical methods, capable of describing relativistic dissipative fluid dynamics in a wide range of…

Relativistic Hydrodynamics in Heavy-Ion Collisions: General Aspects and Recent Developments

- Physics
- 2016

Relativistic hydrodynamics has been quite successful in explaining the collective behaviour of the QCD matter produced in high energy heavy-ion collisions at RHIC and LHC. We briefly review the…