Entropy Alternatives for Equilibrium and Out-of-Equilibrium Systems
We introduce a novel entropy-related function, non-repeatability, designed to capture dynamical behaviors in complex systems. Its normalized form, mutability, has been previously applied in statistical physics as a dynamical entropy measure associated with any observable stored in a sequential file....
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/7/689 |
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| author | Eugenio E. Vogel Francisco J. Peña Gonzalo Saravia Patricio Vargas |
| author_facet | Eugenio E. Vogel Francisco J. Peña Gonzalo Saravia Patricio Vargas |
| author_sort | Eugenio E. Vogel |
| collection | DOAJ |
| description | We introduce a novel entropy-related function, non-repeatability, designed to capture dynamical behaviors in complex systems. Its normalized form, mutability, has been previously applied in statistical physics as a dynamical entropy measure associated with any observable stored in a sequential file. We now extend this concept by calculating the sorted mutability for the same data file previously ordered by increasing or decreasing value. 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, sorted mutability reveals additional insights into the critical behavior of the systems under study. |
| format | Article |
| id | doaj-art-1a4efc5c41514d1e816dbf6056d55ffa |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-1a4efc5c41514d1e816dbf6056d55ffa2025-08-20T03:32:26ZengMDPI AGEntropy1099-43002025-06-0127768910.3390/e27070689Entropy Alternatives for Equilibrium and Out-of-Equilibrium SystemsEugenio E. Vogel0Francisco J. Peña1Gonzalo Saravia2Patricio Vargas3Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco 4811230, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Avenida España 01680, Valparaíso 2390123, ChileLos Eucaliptus 1189, Temuco 4812537, ChileDepartamento de Física, Universidad Técnica Federico Santa María, Avenida España 01680, Valparaíso 2390123, ChileWe introduce a novel entropy-related function, non-repeatability, designed to capture dynamical behaviors in complex systems. Its normalized form, mutability, has been previously applied in statistical physics as a dynamical entropy measure associated with any observable stored in a sequential file. We now extend this concept by calculating the sorted mutability for the same data file previously ordered by increasing or decreasing value. 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, sorted mutability reveals additional insights into the critical behavior of the systems under study.https://www.mdpi.com/1099-4300/27/7/689mutabilityShannon entropycritical phenomenaseismic time seriesMonte Carlo simulationstatistical mechanics |
| spellingShingle | Eugenio E. Vogel Francisco J. Peña Gonzalo Saravia Patricio Vargas Entropy Alternatives for Equilibrium and Out-of-Equilibrium Systems Entropy mutability Shannon entropy critical phenomena seismic time series Monte Carlo simulation statistical mechanics |
| title | Entropy Alternatives for Equilibrium and Out-of-Equilibrium Systems |
| title_full | Entropy Alternatives for Equilibrium and Out-of-Equilibrium Systems |
| title_fullStr | Entropy Alternatives for Equilibrium and Out-of-Equilibrium Systems |
| title_full_unstemmed | Entropy Alternatives for Equilibrium and Out-of-Equilibrium Systems |
| title_short | Entropy Alternatives for Equilibrium and Out-of-Equilibrium Systems |
| title_sort | entropy alternatives for equilibrium and out of equilibrium systems |
| topic | mutability Shannon entropy critical phenomena seismic time series Monte Carlo simulation statistical mechanics |
| url | https://www.mdpi.com/1099-4300/27/7/689 |
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