20.500.12556/RUL-111524 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 time evolution of the probability distribution, which we use to determine the time evolution of the density profiles analytically. In the second part we study the model on a finite lattice coupled with stochastic boundaries. Once again we derive an exact matrix product expression of the stationary distribution, as well as the particle current and density profiles in the stationary state. The exact expressions reveal the existence of different phases with either ballistic or diffusive transport depending on the boundary parameters. true false false Angleški jezik Angleški jezik Neznano 2019-10-02 14:43:47 2019-10-02 14:43:48 2022-08-23 03:43:37 0000-00-00 00:00:00 2019 0 0 37 str. art. no. 074 Vol. 6 Jun. 2019 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.9 2542-4653 10.21468/SciPostPhys.6.6.074 3367268 526154521 RAZ_Medenjak_Marko_i2019.pdf RAZ_Medenjak_Marko_i2019.pdf 1 8B27BB2AB509F67BB51E4E74822787C5 ae1f4b6dc557bd283a49c4ab6197afde0b81bd90a8b636d2e8a8a904c396cbff 6bbee052-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=123438 https://scipost.org/10.21468/SciPostPhys.6.6.074 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140307 Fakulteta za matematiko in fiziko 0 0 0