Accellerating Integer Lattice Gasses by using a Sampling Collision Operator

The Integer Lattice Gas provides a solution to one of the major problems that the Boolean Lattice Gas has by ensuring it recovers the proper Boltzmann Distribution as opposed to the Fermi-Dirac Distribution recovered by the Boolean Lattice Gas. This allows the Integer Lattice Gas to fully recover the Navier-Stokes Equation, something that Boolean Lattice Gasses struggled with. However, the Integer Lattice Gas has, thusfar, been far less computationally efficient than the more commonly used Lattice Boltzmann method, and thus has not been viable for practical utilization. We have created, by sampling from a local equilibrium distribution, a sampling collision operator for the Integer Lattice Gas that allows it to be competative with comparable Fluctuating Lattice Boltzmann Methods. This makes the Integer Lattice Gas a far more viable method, and, although not yet faster than the Lattice Boltzmann method, its stability and non-deterministic nature give several advantages that may make the Integer Lattice Gas a better option for some applications.