Journal of Statistical Physics

, Volume 68, Issue 3–4, pp 575–590 | Cite as

Lattice gases and exactly solvable models

  • Brosl Hasslacher
  • David A. Meyer
Articles

Abstract

We detail the construction of a family of lattice gas automata based on a model of 't Hooft, proceeding by use of symmetry principles to define first the kinematics of the model and then the dynamics. A spurious conserved quantity appears; we use it to effect a radical transformation of the model into one whose spacetime configurations are equivalent to the two-dimensional states of an exactly solvable statistical mechanics model, the symmetric eight-vertex model with parameters restricted to a disorder variety. We comment on the implications of this identification for the original lattice gas.

Key words

Lattice gases spacetime lattice spurious conserved quantities solvable models Yang-Baxter equation disorder solutions thermodynamic equilibrium 
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • Brosl Hasslacher
    • 1
  • David A. Meyer
    • 2
  1. 1.Los Alamos National LaboratoryTheoretical Division and Center for Nonlinear StudiesLos Alamos
  2. 2.Department of Physics and Institute for Pure and Applied Physical SciencesUniversity of California/San DiegoLa Jolla

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