Prefer a chat interface with context about you and your work?
Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial value problem, corresponding to the inhomogeneous quench and the local quench. Our main result is an exact matrix product expression of the …