Thermodynamics in Stochastic Conway’s Game of Life
Authors:
- Krzysztof Pomorski,
- Dariusz Kotula
Abstract
Cellular automata can simulate many complex physical phenomena using the power of simple rules. The presented methodological platform expresses the concept of programmable matter, of which Newton’s laws of motion are an example. Energy is introduced as the equivalent of the "Game of Life" mass, which can be treated as the first level of approximation. The temperature presence and propagation was calculated for various lattice topologies and boundary conditions, using the Shannon entropy measure. This study provides strong evidence that, despite the principle of mass and energy conservation not being fulfilled, the entropy, mass distribution, and temperature approach thermodynamic equilibrium. In addition, the described cellular automaton system transitions from a positive to a negative temperature, which stabilizes and can be treated as a signature of a system in equilibrium. The system dynamics is presented for a few species of cellular automata competing for maximum presence on a given lattice with different boundary conditions.
- Record ID
- CUT14f6ee7a49d14d92b90525b2a02edc86
- Publication categories
- ; ;
- Author
- Journal series
- Condensed Matter, ISSN , e-ISSN 2410-3896, Quarterly
- Issue year
- 2023
- Vol
- 8
- No
- 2
- Pages
- 1-21
- Article number
- 47
- Other elements of collation
- rys.; schem.; wykr.; Bibliografia (na s.) - 20-21; Bibliografia (liczba pozycji) - 20; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 8, Iss. 2
- Substantive notes
- Special Issue: Selected Papers from the International Conference on Quantum Materials and Technologies (ICQMT2022)
- Conference
- International Conference on Quantum Materials and Technologies (ICQMT2022), 2022, 16-10-2022 - 22-10-2022, Bodrum, Turcja
- Keywords in English
- cellular automata, Stochastic Conway’s Game of Life, diffusion, cellular automaton species, entropy, temperature for Conway’s Game of Life
- DOI
- DOI:10.3390/condmat8020047 Opening in a new tab
- URL
- https://www.mdpi.com/2410-3896/8/2/47 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 40
- Score source
- journalList
- Score
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT14f6ee7a49d14d92b90525b2a02edc86/
- URN
urn:pkr-prod:CUT14f6ee7a49d14d92b90525b2a02edc86
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.