20.500.12556/RUL-110789 Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular automaton (CA), driven stochastically at its boundaries. This CA can be considered as a discrete-time and deterministic version of the Fredrickson-Andersen kinetically constrained model (KCM). By means of a matrix product ansatz, we compute the exact large deviation cumulant generating functions for a wide range of time-extensive observables of the dynamics, together with their associated rate functions and conditioned long-time distributions over configurations. We show that for all instances of boundary driving the CA dynamics occurs at the point of phase coexistence between competing active and inactive dynamical phases, similar to what happens in more standard KCMs. We also find the exact finite size scaling behavior of these trajectory transitions, and provide the explicit “Doob-transformed” dynamics that optimally realizes rare dynamical events. nonequilibrium statistical physics cellular automata neravnovesna statistična mehanika celični avtomati true false false Angleški jezik Slovenski jezik Neznano 2019-09-19 12:07:33 2019-09-19 12:07:34 2022-08-22 03:45:58 0000-00-00 00:00:00 2019 0 0 Str. 020103-1-020103-6 iss. 2 Vol. 100 2019 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.9 2470-0045 10.1103/PhysRevE.100.020103 3354468 2048366611 RAZ_Buca_Berislav_i2019.pdf RAZ_Buca_Berislav_i2019.pdf 1 A45F94EAD6210E471C51DF07A7E74D3F da6134a9748200f6be800e6c38fd9286cbb604712e73f072255117a7714fc903 34d6dd6b-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=122489 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.020103 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140310 Fakulteta za matematiko in fiziko 0 0 0