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 $\ddot{I}=1/2-\hat{I}´$, $\hat{I}´\ge 0$, there exists an infinite-time limiting state $\hat{I}{½}_{\ddot{I}}$ in…