Ergodic behaviors in reversible 3-state cellular automata

Sharipov, Rustem (avtor), Koterle, Matija (avtor), Grozdanov, Sašo (avtor), Prosen, Tomaž (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: quantum chaos, cellular automata, integrability
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2026
• Št. strani: 56 str.
• Številčenje: Vol. 20, iss. 5
• PID: 20.500.12556/RUL-182822
• UDK: 530.145
• ISSN pri članku: 2542-4653
• DOI: 10.21468/SciPostPhys.20.5.145
• COBISS.SI-ID: 279196931
• Datum objave v RUL: 25.05.2026

Gradivo je del revije

• Naslov: SciPost physics
• Založnik: SciPost Foundation
• ISSN: 2542-4653
• COBISS.SI-ID: 526154521

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantni kaos, celični avtomati, integrabilnost