The Rate of Entropy Production as a Lyapunov Function in Biophysical-chemical Systems
DOI:
https://doi.org/10.13133/2532-5876/18627Abstract
An overview of the link between nonequilibrium thermodynamics and complexity theory is offered here, showing how the entropy production rate can be quantified through the spectrum of the Lyapunov exponents. The work shows 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 is also established. The work demonstrates how the rate of entropy production as a non-extremal criterion represents an alternative way for sensitivity analysis of differential equations. Finally, in an extension to biophysical-chemical systems, on the one hand, the study presents the use of the dissipation function as a thermodynamic potential out of equilibrium in the characterization of biological phase transitions. On the other hand, it evidences that the entropy production rate represents a physical quantity that can be used to evaluate the complexity and robustness of cancer.
Keywords: nonequilibrium thermodynamics, entropy production rate, Lyapunov function, complexity, biological phase transitions
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Copyright (c) 2025 José Manuel Nieto-Villar, Ricardo Mansilla, Mariano Bizzari
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