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| Some dynamical property of the Tsallis distribution from a Fokker-Planck equation | |
| 引用本文： | 杜九林. Some dynamical property of the Tsallis distribution from a Fokker-Planck equation[J]. 中国物理 B, 2010, 19(4): 40501-040501. DOI: 10.1088/1674-1056/19/4/040501 |
| 作者姓名： | 杜九林 |
| 作者单位： | Department of Physics, School of Science, Tianjin University, Tianjin 300072, China |
| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No.~10675088). |
| 摘 要： | This paper studies the possible dynamical property of theTsallis distribution from a Fokker--Planck equation. For theLangevin dynamical system with an {arbitrary} potential function,Markovian friction and Gaussian white noise, it shows that thecurrent form of Tsallis distribution cannot describe anynonequilibrium dynamics of the system, and it only stands for asimple isothermal situation of the system governed by a potentialfield. So the form of Tsallis distribution and many existingapplications using the Tsallis distribution need to bereconsidered. |
| 关 键 词： | Tsallis distribution dynamical property Fokker-Planck equation |
| 收稿时间： | 2009-07-22 |
Some dynamical property of the Tsallis distribution from a Fokker－Planck equation |
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| Du Jiu-Lin. Some dynamical property of the Tsallis distribution from a Fokker－Planck equation[J]. Chinese Physics B, 2010, 19(4): 40501-040501. DOI: 10.1088/1674-1056/19/4/040501 | |
| Authors: | Du Jiu-Lin |
| Affiliation: | Department of Physics, School of Science, Tianjin University, Tianjin 300072, China |
| Abstract: | This paper studies the possible dynamical property of theTsallis distribution from a Fokker--Planck equation. For theLangevin dynamical system with an {arbitrary} potential function,Markovian friction and Gaussian white noise, it shows that thecurrent form of Tsallis distribution cannot describe anynonequilibrium dynamics of the system, and it only stands for asimple isothermal situation of the system governed by a potentialfield. So the form of Tsallis distribution and many existingapplications using the Tsallis distribution need to bereconsidered. |
| Keywords: | Tsallis distribution dynamical property Fokker--Planckequation |
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