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Relativistic lattice gas hydrodynamics

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Acta Physica Hungarica New Series Heavy Ion Physics

Abstract

Non-relativistic cellular automata can model non-relativistic hydrodynamical flows. In this article we show that if the hopping occurs on a space-time lattice which is generated by discrete subgroups of the Poincaré group and if the collision rules embody the relativistic conservation laws, we can modelrelativistic flows. The simplest version of the relativistic model is formally isomorphic with the non-relativistic Hardy, de Pazzis and Pomeau (HPP) lattice model, provided we reinterpret the various quantities that appear there. This observation explains the non-Galilean invariant results of HPP.

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Author notes

  1. N. L. Balazs

    Present address: Department of Physics, State University of New York, 11794-3800, Stony Brook, NY

Authors and Affiliations

  1. Theoretical Division, Los Alamos National Laboratory, 87545, Los Alamos, New Mexico, USA

    N. L. Balazs & D. Strottman

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  1. N. L. Balazs
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  2. D. Strottman
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Dedicated to the memory of E.P. Wigner

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Balazs, N.L., Strottman, D. Relativistic lattice gas hydrodynamics. APH N.S., Heavy Ion Physics 1, 149–155 (1995). https://doi.org/10.1007/BF03053627

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  • DOI: https://doi.org/10.1007/BF03053627

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