Version 1
: Received: 29 September 2023 / Approved: 29 September 2023 / Online: 29 September 2023 (09:36:32 CEST)
How to cite:
Nieto-Villar, J.; Mansilla, R. The Rate of Entropy Production in Biophysical-Chemical Systems. Preprints2023, 2023092094. https://doi.org/10.20944/preprints202309.2094.v1
Nieto-Villar, J.; Mansilla, R. The Rate of Entropy Production in Biophysical-Chemical Systems. Preprints 2023, 2023092094. https://doi.org/10.20944/preprints202309.2094.v1
Nieto-Villar, J.; Mansilla, R. The Rate of Entropy Production in Biophysical-Chemical Systems. Preprints2023, 2023092094. https://doi.org/10.20944/preprints202309.2094.v1
APA Style
Nieto-Villar, J., & Mansilla, R. (2023). The Rate of Entropy Production in Biophysical-Chemical Systems. Preprints. https://doi.org/10.20944/preprints202309.2094.v1
Chicago/Turabian Style
Nieto-Villar, J. and R. Mansilla. 2023 "The Rate of Entropy Production in Biophysical-Chemical Systems" Preprints. https://doi.org/10.20944/preprints202309.2094.v1
Abstract
An overview of the link between nonequilibrium thermodynamics and complexity theory is offered. It is shown how the rate of entropy production can be quantified through the spectrum of the Lyapunov exponents. It was shown how the entropy production per unit of time meets the necessary and sufficient conditions to be a Lyapunov function and constitutes per se an extremal principle. The entropy production fractal dimension conjecture was established. It is shown how the rate of entropy production as a non-extremal criterion represents an alternative way of sensitivity analysis of differential equations. Finally, an extension to biophysical-chemical systems, on the one hand, the use of the dissipation function is shown, as a thermodynamic potential out of equilibrium, in the characterization of biological phase transitions. On the other hand, it was evidenced how the rate of entropy production represents a physical quantity to evaluate the complexity and robustness of cancer.
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.
