Version 1
: Received: 2 November 2022 / Approved: 3 November 2022 / Online: 3 November 2022 (11:36:33 CET)
How to cite:
Bormashenko, E.; Shvalb, N.; Frenkel, M.; Shoval, S. Ramsey Theory and Thermodynamics. Preprints2022, 2022110077. https://doi.org/10.20944/preprints202211.0077.v1
Bormashenko, E.; Shvalb, N.; Frenkel, M.; Shoval, S. Ramsey Theory and Thermodynamics. Preprints 2022, 2022110077. https://doi.org/10.20944/preprints202211.0077.v1
Bormashenko, E.; Shvalb, N.; Frenkel, M.; Shoval, S. Ramsey Theory and Thermodynamics. Preprints2022, 2022110077. https://doi.org/10.20944/preprints202211.0077.v1
APA Style
Bormashenko, E., Shvalb, N., Frenkel, M., & Shoval, S. (2022). Ramsey Theory and Thermodynamics. Preprints. https://doi.org/10.20944/preprints202211.0077.v1
Chicago/Turabian Style
Bormashenko, E., Mark Frenkel and Shraga Shoval. 2022 "Ramsey Theory and Thermodynamics" Preprints. https://doi.org/10.20944/preprints202211.0077.v1
Abstract
Re-shaping of thermodynamics with the graph theory and Ramsey theory is suggested. Maps built of thermodynamic states are addressed. Thermodynamic states may be attainable and non-attainable by the thermodynamic process in the system of constant mass. We address the following question how large should be a graph describing connections between discrete thermodynamic states to guarantee the appearance of thermodynamic cycles? The Ramsey theory supplies the answer to this question. Direct graphs emerging from the chains of irreversible thermodynamic processes are considered. In any complete directed graph, representing the thermodynamic states of the system the Hamiltonian path is found. Transitive thermodynamic tournaments are addressed. The entire transitive thermodynamic tournament built of irreversible processes does not contain a cycle of length 3, or in other words, the transitive thermodynamic tournament is acyclic and contains no directed thermodynamic cycles.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
