Exact Large Deviation Functional of a Stationary Open Driven Diffusive System: The Asymmetric Exclusion Process

B. Derrida, J. L. Lebowitz, E. R. Speer

We consider the asymmetric exclusion process (ASEP) in one dimension on sites $i=1,...,N$, in contact at sites $i=1$ and $i=N$ with infinite particle reservoirs at densities $ρ_…