| On the Generalized Theory of Atmospheric Particle Systems |
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| 作者姓名： | Liu Yangang |
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| 作者单位： | Desert Research Institute，Atmospheric Sciences Center，Reno，Nevada 89506-0220，USA |
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| 摘 要： | Unification is both necessary and challenging for studying atmospheric particle systems, which are polydisperse systems containing particles of different sizes and shapes. A general framework is proposed to realize the first order generalization. Within this generalized framework, (1) atmospheric particle shapes are unified into self-similar fractals; (2) a self-similar particle is characterized by various power-law relationships; (3) by combining these power-law relationships for a single particle with Shannon’s maximum entropy principle and some concepts in statis-tical mechanics, unified maximum likelihoood number size distributions are of the Weibull form for atmospheric particle systems. Frontier disciplines (e. g., scaling, fractal, chaos and hierarchy) are argued to provide potential “tools” for such unification. Several new topics are raised for future research.
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| 关 键 词： | Unification Self-similarity Power-law relationships Fractals Shannon’s entropy. Maximum likelihood distribution |
| 收稿时间： | 16 January 1995 |
On the generalized theory of atmospheric particle systems |
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| Liu Yangang.On the Generalized Theory of Atmospheric Particle Systems[J].Advances in Atmospheric Sciences,1995,12(4):419-438. |
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| Authors: | Yangang Liu |
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| Institution: | Desert Research Institute, Atmospheric Sciences Center, Reno, Nevada 89506-0220, USA |
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| Abstract: | Unification is both necessary and challenging for studying atmospheric particle systems, which are polydispersesystems containing particles of different sizes and shapes. A general framework is proposed to realize the first order generalization. Within this generalized framework, (1) atmospheric particle shapes are unified into self-similar fractals; (2) a self-similar particle is characterized by various power-law relationships; (3) by combining these power-law relationships for a single particle with Shannon's maximum entropy principle and some concepts in statistical mechanics, unified maximum likelihoood number size distributions are of the Weibull form for atmospheric particle systems. Frontier disciplines (e. g., scaling,fractal,chaos and hierarchy) are argued to provide potential "tools" for such unification. Several new topics are raised for future research. |
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| Keywords: | Unification Self-similarity Power-law relationships Fractals Shannon's entropy Maximum likelihood distribution |
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