On Two Non-Ergodic Reversible Cellular Automata, One Classical, the Other Quantum.

cellular automata conservation laws ergodic theory ergodicity breaking integrability interacting dynamics

Journal

Entropy (Basel, Switzerland)
ISSN: 1099-4300
Titre abrégé: Entropy (Basel)
Pays: Switzerland
ID NLM: 101243874

Informations de publication

Date de publication:
30 Apr 2023
Historique:
received: 31 03 2023
revised: 28 04 2023
accepted: 29 04 2023
medline: 27 5 2023
pubmed: 27 5 2023
entrez: 27 5 2023
Statut: epublish

Résumé

We propose and discuss two variants of kinetic particle models-cellular automata in 1 + 1 dimensions-that have some appeal due to their simplicity and intriguing properties, which could warrant further research and applications. The first model is a deterministic and reversible automaton describing two species of quasiparticles: stable massless

Identifiants

pubmed: 37238494
pii: e25050739
doi: 10.3390/e25050739
pmc: PMC10217703
pii:
doi:

Types de publication

Journal Article

Langues

eng

Subventions

Organisme : Slovenian Research Agency
ID : P1-0402
Organisme : Slovenian Research Agency
ID : N1-0233
Organisme : Slovenian Research Agency
ID : N1-0219

Références

Phys Rev Lett. 2022 Apr 22;128(16):160601
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pubmed: 24827324
Phys Rev Lett. 2000 Nov 13;85(20):4261-4
pubmed: 11060613
Phys Rev Lett. 2017 Sep 15;119(11):110603
pubmed: 28949197
Phys Rev Lett. 2018 Jul 20;121(3):030606
pubmed: 30085792
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jan;67(1 Pt 2):015203
pubmed: 12636549

Auteurs

Tomaž Prosen (T)

Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia.

Classifications MeSH