Classical Model of Quons
By using the kinetic interaction principle, the quons statistics in the framework of kinetic theory is introduced. This is done by properly generalizing the inclusion/exclusion principle of standard boson and fermion statistics within a nonlinear classical model. The related nonlinear Fokker-Planck...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/9/841 |
| _version_ | 1818039921405853696 |
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| author | Giorgio Kaniadakis Antonio M. Scarfone |
| author_facet | Giorgio Kaniadakis Antonio M. Scarfone |
| author_sort | Giorgio Kaniadakis |
| collection | DOAJ |
| description | By using the kinetic interaction principle, the quons statistics in the framework of kinetic theory is introduced. This is done by properly generalizing the inclusion/exclusion principle of standard boson and fermion statistics within a nonlinear classical model. The related nonlinear Fokker-Planck equation is introduced and the corresponding steady distribution describing quons statistics of type I and type II is derived. |
| first_indexed | 2024-12-10T08:06:19Z |
| format | Article |
| id | doaj.art-3eb6df2631c349ffbb0bbbd2cca3b370 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-12-10T08:06:19Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-3eb6df2631c349ffbb0bbbd2cca3b3702022-12-22T01:56:39ZengMDPI AGEntropy1099-43002019-08-0121984110.3390/e21090841e21090841Classical Model of QuonsGiorgio Kaniadakis0Antonio M. Scarfone1Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyIstituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche (ISC-CNR), c/o Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyBy using the kinetic interaction principle, the quons statistics in the framework of kinetic theory is introduced. This is done by properly generalizing the inclusion/exclusion principle of standard boson and fermion statistics within a nonlinear classical model. The related nonlinear Fokker-Planck equation is introduced and the corresponding steady distribution describing quons statistics of type I and type II is derived.https://www.mdpi.com/1099-4300/21/9/841classical model of boson and fermion statisticsinclusion/exclusion principlenonlinear Fokker-Planck equationtype I quon statisticstype II quon statistics |
| spellingShingle | Giorgio Kaniadakis Antonio M. Scarfone Classical Model of Quons Entropy classical model of boson and fermion statistics inclusion/exclusion principle nonlinear Fokker-Planck equation type I quon statistics type II quon statistics |
| title | Classical Model of Quons |
| title_full | Classical Model of Quons |
| title_fullStr | Classical Model of Quons |
| title_full_unstemmed | Classical Model of Quons |
| title_short | Classical Model of Quons |
| title_sort | classical model of quons |
| topic | classical model of boson and fermion statistics inclusion/exclusion principle nonlinear Fokker-Planck equation type I quon statistics type II quon statistics |
| url | https://www.mdpi.com/1099-4300/21/9/841 |
| work_keys_str_mv | AT giorgiokaniadakis classicalmodelofquons AT antoniomscarfone classicalmodelofquons |