20.500.12556/RUL-182822 Ergodic behaviors in reversible 3-state cellular automata Classical cellular automata represent a class of explicit discrete spacetime lattice models in which complex large-scale phenomena emerge from simple deterministic rules. With the goal to uncover different physically distinct classes of ergodic behavior, we perform a systematic study of three-state cellular automata (with a stable ‘vacuum’ state and “particles” with $\pm$ charges). The classification is aided by the automata's different transformation properties under discrete symmetries: charge conjugation, spatial parity and time reversal. In particular, we propose a simple classification that distinguishes between types and levels of ergodic behavior in such system as quantified by the following observables: the mean return time, the number of conserved quantities, and the scaling of correlation functions. In each of the physically distinct classes, we present examples and discuss some of their phenomenology. This includes chaotic or ergodic dynamics, phase-space fragmentation, Ruelle-Pollicott resonances, existence of quasilocal charges, and anomalous transport with a variety of dynamical exponents. quantum chaos cellular automata integrability kvantni kaos celični avtomati integrabilnost true false true Angleški jezik Slovenski jezik Članek v reviji 2026-05-25 09:24:03 2026-05-25 09:24:04 2026-05-26 04:35:51 0000-00-00 00:00:00 2026 0 0 56 str. iss. 5 Vol. 20 May 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2542-4653 10.21468/SciPostPhys.20.5.145 279196931 https://scipost.org/SciPostPhys.20.5.145 1 614bdda8-580a-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=234368 SciPostPhys_20_5_145.pdf SciPostPhys_20_5_145.pdf 1 0B2409DAFA7E5AC41F2EF898334DE628 9fdec0d335dff948b9c5299da385d17649612c1c3e2603f0c039bc7e590317c4 b6197dac-580a-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=234369 Fakulteta za matematiko in fiziko 0 0 0