Entropy alternatives for equilibrium and out of equilibrium systems

Eugenio E. Vogel; Francisco J. Peña; G. Saravia; P. Vargas

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arXiv · 2410.24186

Entropy alternatives for equilibrium and out of equilibrium systems

Eugenio E. Vogel·Francisco J. Peña·G. Saravia·P. Vargas

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Abstract

We introduce a novel entropy-related function, \textit{non-repeatability}, designed to capture dynamical behaviors in complex systems. Its normalized form, \textit{mutability}, has been previously applied in statistical physics as a dynamical entropy measure. To present the scope and advantages of these quantities, we analyze two distinct systems: (a) Monte Carlo simulations of magnetic moments on a square lattice and (b) seismic time series from the United States Geological Survey catalog. Both systems are well-established in the literature, serving as robust benchmarks. Shannon entropy is employed as a reference point to assess the similarities and differences with the proposed measures. A key distinction lies in the sensitivity of non-repeatability and mutability to the temporal ordering of data, which contrasts with traditional entropy definitions. Moreover, \textit{sorted mutability} -- the mutability computed from a reordered data version -- reveals additional insights into the critical behavior of the systems under study.

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BibTeX RIS

Eugenio E. Vogel, Francisco J. Peña, G. Saravia, P. Vargas. 2024-10-31. Entropy alternatives for equilibrium and out of equilibrium systems. https://arxiv.org/abs/2410.24186

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