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A fully relativistic lattice Boltzmann algorithm

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arxiv 1106.1093 v1 pith:EA5AI3M5 submitted 2011-06-06 nucl-th gr-qchep-ph

P. Romatschke , M. Mendoza , S. Succi This is my paper · ORCID
classification nucl-thgr-qchep-ph
keywords algorithmlatticeboltzmannrelativisticsimulationssystemsadvantagesagreement
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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.

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Cited by 1 Pith paper

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  1. Kinetic Theory of Quasiparticles, Retarded Correlators and Hydrodynamics

    nucl-th 2025-04 conditional novelty 6.0 of 10

    For a massive Maxwell-Boltzmann gas in the relaxation-time approximation, finite mass removes the propagating sound mode, leaving purely imaginary modes, while shear and diffusion modes stay close to the massless results.

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