Approach to Hyperuniformity in the One-Dimensional Facilitated Exclusion Process

S. Goldstein, J. L. Lebowitz, E. R. Speer

For the one-dimensional Facilitated Exclusion Process with initial state a product measure of density $\rho =1/2-\delta$, $\delta \ge 0$, there exists an infinite-time limiting state ${\nu }_{\rho }$ in whic…