Nonextensive statistics for time evolution of interacting particles
A system of interacting particles under a overdamped motion is known to be a model able to describe flux front penetration in disordered type-II superconductors. Was shown recently, that a coarse-grained representation of this system leads to a nonlinear Fokker-Planck formalism, corresponding to a T...
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| Format: | Online |
| Language: | Portuguese |
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Universidade Estadual de Campinas
2020
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3238 |
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| _version_ | 1864358291262406656 |
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| author | Ribeiro , Mauricio de Souza |
| author_facet | Ribeiro , Mauricio de Souza |
| author_sort | Ribeiro , Mauricio de Souza |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 |
| description | A system of interacting particles under a overdamped motion is known to be a model able to describe flux front penetration in disordered type-II superconductors. Was shown recently, that a coarse-grained representation of this system leads to a nonlinear Fokker-Planck formalism, corresponding to a Tsallis statistic with q=0, that is appropriate to describe the stationary state. In this work, we repeat same approach making a molecular dynamic simulation confirming that the temporal evolution of this system is also described by the same theory. We present the probability distribution for particle velocity and particle position, that is in agreement with the analytical solution of nonlinear Fokker-Planck equation related. We found that horizontal distribution for velocity and position follow equal entropic index q=0, for all time. For vertical velocity distribution, a sequence of q-Gaussian under evolution are found until the equilibrium state. |
| first_indexed | 2025-10-08T13:49:16Z |
| format | Online |
| id | ojs-article-3238 |
| institution | Universidade Estadual de Campinas |
| issn | 2236-7535 |
| language | por |
| last_indexed | 2025-10-08T13:49:16Z |
| publishDate | 2020 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-32382020-05-15T15:30:07Z Nonextensive statistics for time evolution of interacting particles Ribeiro , Mauricio de Souza System of particle Nonlinear Fokker-Planck formalism A system of interacting particles under a overdamped motion is known to be a model able to describe flux front penetration in disordered type-II superconductors. Was shown recently, that a coarse-grained representation of this system leads to a nonlinear Fokker-Planck formalism, corresponding to a Tsallis statistic with q=0, that is appropriate to describe the stationary state. In this work, we repeat same approach making a molecular dynamic simulation confirming that the temporal evolution of this system is also described by the same theory. We present the probability distribution for particle velocity and particle position, that is in agreement with the analytical solution of nonlinear Fokker-Planck equation related. We found that horizontal distribution for velocity and position follow equal entropic index q=0, for all time. For vertical velocity distribution, a sequence of q-Gaussian under evolution are found until the equilibrium state. Universidade Estadual de Campinas 2020-05-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3238 Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 Physicae Proceedings; v. 1 n. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 2236-7535 por https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3238/3176 Copyright (c) 2012 Physicae |
| spellingShingle | Ribeiro , Mauricio de Souza System of particle Nonlinear Fokker-Planck formalism Nonextensive statistics for time evolution of interacting particles |
| title | Nonextensive statistics for time evolution of interacting particles |
| title_full | Nonextensive statistics for time evolution of interacting particles |
| title_fullStr | Nonextensive statistics for time evolution of interacting particles |
| title_full_unstemmed | Nonextensive statistics for time evolution of interacting particles |
| title_short | Nonextensive statistics for time evolution of interacting particles |
| title_sort | nonextensive statistics for time evolution of interacting particles |
| topic | System of particle Nonlinear Fokker-Planck formalism |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3238 |
| work_keys_str_mv | AT ribeiromauriciodesouza nonextensivestatisticsfortimeevolutionofinteractingparticles |
