Tsallis Entropy and the Transition to Scaling in Fragmentation
Abstract: By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon entropy. The treatment is easily generalisable to any pro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2000-12-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/2/4/172/ |
| _version_ | 1811213016103911424 |
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| author | G. J. Rodgers Arezky H. Rodriguez Oscar Sotolongo-Costa |
| author_facet | G. J. Rodgers Arezky H. Rodriguez Oscar Sotolongo-Costa |
| author_sort | G. J. Rodgers |
| collection | DOAJ |
| description | Abstract: By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon entropy. The treatment is easily generalisable to any process of fractioning with suitable constraints. |
| first_indexed | 2024-04-12T05:40:13Z |
| format | Article |
| id | doaj.art-a87aa6f2de874e39be4be482646d02f3 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-12T05:40:13Z |
| publishDate | 2000-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-a87aa6f2de874e39be4be482646d02f32022-12-22T03:45:42ZengMDPI AGEntropy1099-43002000-12-012417217710.3390/e2040172Tsallis Entropy and the Transition to Scaling in FragmentationG. J. RodgersArezky H. RodriguezOscar Sotolongo-CostaAbstract: By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon entropy. The treatment is easily generalisable to any process of fractioning with suitable constraints.http://www.mdpi.com/1099-4300/2/4/172/n/a |
| spellingShingle | G. J. Rodgers Arezky H. Rodriguez Oscar Sotolongo-Costa Tsallis Entropy and the Transition to Scaling in Fragmentation Entropy n/a |
| title | Tsallis Entropy and the Transition to Scaling in Fragmentation |
| title_full | Tsallis Entropy and the Transition to Scaling in Fragmentation |
| title_fullStr | Tsallis Entropy and the Transition to Scaling in Fragmentation |
| title_full_unstemmed | Tsallis Entropy and the Transition to Scaling in Fragmentation |
| title_short | Tsallis Entropy and the Transition to Scaling in Fragmentation |
| title_sort | tsallis entropy and the transition to scaling in fragmentation |
| topic | n/a |
| url | http://www.mdpi.com/1099-4300/2/4/172/ |
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