| 经典理想气体模型的信息几何结构及不稳定性 |
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| 引用本文： | 曹丽梅,张真宁,孙华飞.经典理想气体模型的信息几何结构及不稳定性[J].北京理工大学学报,2015,35(4):432-435. |
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| 作者姓名： | 曹丽梅 张真宁 孙华飞 |
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| 作者单位： | 北京科技大学数理学院,北京,100083;北京工业大学应用数理学院,北京,100124;北京理工大学数学与统计学院,北京,100081 |
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| 基金项目： | 国家自然科学基金资助项目(11126161);中央大学研究基础基金资助项目(FRF-BR-12-005); 国家教育部高等学校博士学科点专项科研基金资助课题(006000514314020) |
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| 摘 要： | 从信息几何的角度研究了经典理想气体模型.探讨了经典理想气体模型的α-几何结构.借助于几何结构,通过测地弧长、体积元以及Jacobi向量场分析了模型的不稳定性.并且给出了模型的Lyapunov指数.
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| 关 键 词： | 经典理想气体 几何结构 不稳定性 |
| 收稿时间： | 7/4/2014 12:00:00 AM |
Information Geometric Structures and Instability of Classical Ideal Gas Model |
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| CAO Li-mei,ZHANG Zhen-ning and SUN Hua-fei.Information Geometric Structures and Instability of Classical Ideal Gas Model[J].Journal of Beijing Institute of Technology(Natural Science Edition),2015,35(4):432-435. |
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| Authors: | CAO Li-mei ZHANG Zhen-ning and SUN Hua-fei |
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| Institution: | 1.School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China2.College of Applied Sciences, Beijing University of Technology, Beijing 100124, China3.School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | In this paper, from the viewpoint of information geometry the classical ideal gas model was investigated. The α-geometric structures of a classical ideal gas model were explored. In virtue of the geometric structures, the instability of the model was studied from the behavior of the geodesic lengths, volume elements and Jacobi vector fields. Finally, the Lyapunov exponent was obtained. |
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| Keywords: | classical ideal gas geometric structure instability |
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