Deriving Tsallis entropy from non-extensive Hamiltonian within a statistical mechanics framework
| Autor: | Krisut, Paradon, Yoo-Kong, Sikarin |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The Tsallis entropy, which possesses non-extensive property, is derived from the first principle employing the non-extensive Hamiltonian or the $q$-deformed Hamiltonian with the canonical ensemble assumption in statistical mechanics. Here, the $q$-algebra and properties of $q$-deformed functions are extensively used throughout the derivation. Consequently, the thermodynamic quantities, e.g. internal energy and Helmholtz free energy, are derived and they inheritly exhibit the non-extensiveness. From this intriguing connection between Tasllis entropy and the $q$-deformed Hamiltonian, the parameter $q$ encapsulates the intrinsic degree of non-extensivity for the thermodynamic systems. Comment: 21 pages, 1 figure |
| Databáze: | arXiv |
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