| Some dynamical property of the Tsallis distribution from a Fokker-Planck equation |
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| 作者姓名： | 杜九林 |
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| 作者单位： | Department of Physics, School of Science, Tianjin University, Tianjin 300072, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No.~10675088). |
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| 摘 要： | This paper studies the possible dynamical property of the
Tsallis distribution from a Fokker--Planck equation. For the
Langevin dynamical system with an {arbitrary} potential function,
Markovian friction and Gaussian white noise, it shows that the
current form of Tsallis distribution cannot describe any
nonequilibrium dynamics of the system, and it only stands for a
simple isothermal situation of the system governed by a potential
field. So the form of Tsallis distribution and many existing
applications using the Tsallis distribution need to be
reconsidered.
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| 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. |
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| Authors: | Du Jiu-Lin |
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| Affiliation: | Department of Physics, School of Science, Tianjin University, Tianjin 300072, China |
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| Abstract: | This paper studies the possible dynamical property of the
Tsallis distribution from a Fokker--Planck equation. For the
Langevin dynamical system with an {arbitrary} potential function,
Markovian friction and Gaussian white noise, it shows that the
current form of Tsallis distribution cannot describe any
nonequilibrium dynamics of the system, and it only stands for a
simple isothermal situation of the system governed by a potential
field. So the form of Tsallis distribution and many existing
applications using the Tsallis distribution need to be
reconsidered. |
| |
| Keywords: | Tsallis distribution dynamical property Fokker--Planck
equation |
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