A fully relativistic lattice Boltzmann algorithm
P. Romatschke, M. Mendoza, S. Succi
TL;DR
This paper introduces a relativistic lattice Boltzmann algorithm designed for ultrarelativistic systems in expanding spacetimes, validated through quark-gluon plasma simulations, enabling efficient modeling of high-energy physics phenomena.
Contribution
It presents a novel relativistic LB algorithm based on Maxwell-Juettner distribution for ultrarelativistic, expanding spacetime systems, expanding computational tools in high-energy physics.
Findings
Excellent agreement with hydrodynamic simulations.
Effective modeling of quark-gluon plasma.
Potential for broader application in relativistic systems.
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.
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