A fully relativistic lattice Boltzmann algorithm

Abstract

Starting from the Maxwell-Juettner equilibrium distribution, we develop a relativistic lattice Boltzmann (LB) algorithm capable of handling ultrarelativistic systems with flat, but expanding, spacetimes. The algorithm is validated through simulations of quark-gluon plasma, yielding excellent agreement with hydrodynamic simulations. The present scheme opens the possibility of transferring the recognized computational advantages of lattice kinetic theory to the context of both weakly and ultra-relativistic systems.

12 pages, 8 figures

References in corpus (12)

• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• Second order hydrodynamic coefficients from kinetic theory
• Pre-Turbulent Regimes in Graphene Flows
• Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics
• Heavy Ion Initial Conditions and Correlations Between Higher Moments in the Spatial Anisotropy
• Fluid turbulence and eddy viscosity in relativistic heavy-ion collisions
• Multiplicity, mean $p_T$, $p_T$-spectra and elliptic flow of identified particles in Pb+Pb collisions at LHC

Cited by in corpus (42)

• Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
• Relativistic (Lattice) Boltzmann Equation with Non-Ideal Equation of State
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
• Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
• Azimuthal Anisotropies at High Momentum from Purely Non-Hydrodynamic Transport
• Relativistic Lattice Boltzmann Model with Improved Dissipation
• Simulation of Black Hole Collisions in Asymptotically AdS Spacetimes
• Relativistic Lattice Boltzmann Methods: Theory and Applications
• Macroscopic approximation to relativistic kinetic theory from a nonlinear closure
• Development of transverse flow at small and large opacities in conformal kinetic theory
• Onset of cavitation in the quark-gluon plasma
• High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
• Lattice Boltzmann model for ultra-relativistic flows
• Bjorken flow attractors with transverse dynamics
• On the relativistic Lattice Boltzmann method for quark-gluon plasma simulations
• Kelvin-Helmholtz instability of the Dirac fluid of charge carriers on graphene
• Half-range lattice Boltzmann models for the simulation of Couette flow using the Shakhov collision term
• Towards a full solution of relativistic Boltzmann equation for quark-gluon matter on GPUs
• Opacity dependence of transverse flow, pre-equilibrium and applicability of hydrodynamics in heavy-ion collisions
• Gaussian Quadrature and Lattice Discretization of the Fermi-Dirac Distribution for Graphene
• Towards a unified lattice kinetic scheme for relativistic hydrodynamics
• Fully dissipative relativistic lattice Boltzmann method in two dimensions
• Lattice Boltzmann models based on the vielbein formalism for the simulation of flows in curvilinear geometries
• Study of transport coefficients in ultrarelativistic kinetic theory
• Dissipative hydrodynamics of relativistic shock waves in a Quark Gluon Plasma: comparing and benchmarking alternate numerical methods
• Fast kinetic simulator for relativistic matter
• Relativistic dissipation obeys Chapman-Enskog asymptotics: analytical and numerical evidence as a basis for accurate kinetic simulations
• Numerical evidence of electron hydrodynamic whirlpools in graphene samples
• Lattice Boltzmann method for relativistic hydrodynamics: Issues on conservation law of particle number and discontinuities
• Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles
• A lattice Boltzmann method based on generalized polynomials and its application for electrons in metals
• High-order Shakhov-like extension of the relaxation time approximation in relativistic kinetic theory
• A Lattice Boltzmann Method for Relativistic Rarefied Flows in (2 + 1) Dimensions
• Shakhov-type extension of the relaxation time approximation in relativistic kinetic theory and second-order fluid dynamics
• Lattice Boltzmann study of the one-dimensional boost-invariant expansion with anisotropic initial conditions
• The functional generalization of the Boltzmann-Vlasov equation and its Gauge-like symmetry
• Quadrature-based Lattice Boltzmann Model for Relativistic Flows
• Spectral BBGKY: a scalable scheme for nonlinear Boltzmann and correlation kinetics
• Two Dimensional Turbulence in a Massless Fluid with a Relativistic Lattice Boltzmann Model
• Relativistic Wind Farm Effect: Possibly Turbulent Flow of a Charged, Massless Relativistic Fluid in Graphene
• Vielbein Lattice Boltzmann approach for fluid flows on spherical surfaces